Hot electron lifetimes in metals probed by time-resolved two-photon photoemission

Progress in Surface Science

Volumn 90, Issue 3, 2015, Pages 319-376

  Bauer, M ^a   Marienfeld, A ^b   Aeschlimann, M ^b  

^a UNIVERSITY OF KIEL   (Germany)

^b Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

Fermi Liquid Theory; Inelastic lifetime of excited electrons; Time resolved photoemission; Two photon photoemission

Indexed keywords

ELECTRONS; FERMI LIQUIDS; GADOLINIUM; PHOTOEMISSION; PHOTONS; TRANSITION METALS; YTTERBIUM;

CARRIER SCATTERING; EXCITED ELECTRONS; FERMI LIQUID THEORY; RARE EARTH METALS; THEORETICAL APPROACH; TIME RESOLVED TWO-PHOTON PHOTOEMISSION; TIME-RESOLVED PHOTOEMISSIONS; TWO-PHOTON PHOTOEMISSION;

METALS;

EID: 84935022249     PISSN: 00796816     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.progsurf.2015.05.001     Document Type: Review

References (242)

1. We thank H. Petek, University of Pittsburg, for providing us with this illustration.
2. W.S. Fann, R.H. Storz, and H.W.K. Tom Electron thermalization in gold Phys. Rev. B 46 1992 13592
3. R. Haight, J. Bokor, J. Stark, and R.H. Storz Picosecond time-resolved photoemission study of the InP(1 1 0) surface Phys. Rev. Lett. 54 1985 1302
4. C.A. Schmuttenmaer, M. Aeschlimann, H.E. Elsayed-Ali, R.J.D. Miller, D.A. Mantell, J. Cao, and Y. Gao Time-resolved two-photon photoemission from Cu(1 0 0): energy dependence of electron relaxation Phys. Rev. B 50 1994 8957 8960
5. H. Petek, and S. Ogawa Femtosecond time-resolved two-photon photoemission studies of electron dynamics in metals Prog. Surf. Sci. 56 1997 239 310
6. M. Aeschlimann, M. Bauer, and S. Pawlik Competing nonradiative channels for hot electron induced surface photochemistry Chem. Phys. 205 1996 127 141
7. M. Aeschlimann, M. Bauer, S. Pawlik, W. Weber, R. Burgermeister, D. Oberli, and H.C. Siegmann Ultrafast spin-dependent electron dynamics in fcc Co Phys. Rev. Lett. 79 1997 5158 5161
8. D. Bohm, and D. Pines A collective description of electron interactions Phys. Rev. 82 1951 625 634
9. P. Drude Zur Elektronentheorie der Metalle Ann. Phys. 306 1900 566 613
10. J.J. Quinn, and R.A. Ferrell Electron self-energy approach to correlation in a degenerate electron gas Phys. Rev. 112 1958 812 827
11. R.W. Schoenlein, J.G. Fujimoto, G.L. Eesley, and T.W. Capehart Femtosecond studies of image-potential dynamics in metals Phys. Rev. Lett. 61 1988 2596
12. M. Weinelt Time-resolved two-photon photoemission from metal surfaces J. Phys. Condens. Matter. 14 2002 R1099 R1141
13. J. Güdde, and U. Höfer Femtosecond time-resolved studies of image-potential states at surfaces and interfaces of rare-gas adlayers Prog. Surf. Sci. 80 2005 49 91
14. R.L. Jingle, N.-H. Ge, R.E. Jordan, J.D. McNeill, and C.B. Harris Femtosecond studies of electron tunneling at metal-dielectric interfaces Chem. Phys. 205 1996 191 203
15. X.Y. Zhu Electronic structure and electron dynamics at molecule-metal interfaces: implications for molecule-based electronics Surf. Sci. Rep. 56 2004 1 83
16. P. Szymanski, S. Garrett-Roe, and C.B. Harris Time- and angle-resolved two-photon photoemission studies of electron localization and solvation at interfaces Prog. Surf. Sci. 78 2005 1 39
17. U. Bovensiepen Ultrafast electron transfer, localization and solvation at ice-metal interfaces: correlation of structure and dynamics Prog. Surf. Sci. 78 2005 87 100
18. K.H. Bennemann Ultrafast dynamics in solids J. Phys. Condens. Matter. 16 2004 R995 R1056
19. J.M. Pitarke, V.P. Zhukov, R. Keyling, E.V. Chulkov, and P.M. Echenique Ultrafast electron dynamics in metals ChemPhysChem 5 2004 1284 1300
20. W.-D. Schoene Theoretical determination of electronic lifetimes in metals Prog. Surf. Sci. 82 2007 161 192
21. V.P. Zhukov, and E.V. Chulkov The femtosecond dynamics of electrons in metals Physics - Uspekhi 52 2009 105 136
22. U. Bovensiepen, H. Petek, M. Wolf (ed.), Dynamics at Solid State Surfaces and Interfaces: Vol. 1: Current Developments, WILEY-VCH, Weinheim, 2010.
23. C.A. Schmuttenmaer, C. Cameron Miller, J.W. Herman, J. Cao, D.A. Mantell, Y. Gao, and R.J.D. Miller Femtosecond time-resolved photoemission study of hot electron relaxation at the GaAs(1 0 0) surface Chem. Phys. 205 1996 91 108
24. S. Ramakrishna, F. Willig, and A. Knorr Time-resolved two-photon photoemission spectroscopy of semiconductor bulk states Appl. Phys. A 78 2004 247 252
25. J.-C. Deinert, D. Wegkamp, M. Meyer, C. Richter, M. Wolf, and J. Stähler Ultrafast exciton formation at the ZnO(1 0 1 ¯ 0)) surface Phys. Rev. Lett. 113 2014 057602
26. A. Argondizzo, X. Cui, C. Wang, H. Sun, H. Shang, J. Zhao, and H. Petek Ultrafast multiphoton pump-probe photoemission excitation pathways in rutile TiO2(1 1 0) Phys. Rev. B 91 2015 155429
27. R. Haight Electron dynamics at surfaces Surf. Sci. Rep. 21 1995 227 235
28. J. Bokor Ultrafast dynamics at semiconductor and metal surfaces Science 246 1989 1130 1134
29. J. Lindhard On the properties of a gas of charged particles Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 28 1954 37
30. L.D. Landau Oscillations in a fermi liquid Sov. Phys. JETP-USSR 5 1957 101 108
31. L.D. Landau The theory of a fermi liquid Sov. Phys. JETP-USSR 3 1957 920 925
32. L.D. Landau On the theory of the fermi liquid Sov. Phys. JETP-USSR 8 1959 70 74
33. P.A. Wolff Theory of secondary electron cascade in metals Phys. Rev. 95 1954 56 66
34. E. Abrahams Electron-electron scattering in alkali metals Phys. Rev. 95 1954 839 840
35. R.H. Ritchie Interaction of charged particles with a degenerate fermi-dirac electron gas Phys. Rev. 114 1959 644 654
36. J.J. Quinn Range of excited electrons in metals Phys. Rev. 126 1962 1453 1457
37. R.W. Davies Boltzmann-equation study of hot-electron relaxation in metals Phys. Rev. 181 1969 1118 1127
38. C.B. Dover, and R.H. Lemmer Retarded interactions in fermi systems: II. Quasiparticle lifetimes Phys. Rev. 183 1969 908 918
39. C.J. Tung, and R.H. Ritchie Electron slowing-down spectra in aluminum metal Phys. Rev. B 16 1977 4302 4313
40. R.H. Ritchie Coupled electron-hole cascade in a free electron gas J. Appl. Phys. 37 1966 2276
41. R.H. Ritchie, and J.C. Ashley The interaction of hot electrons with a free electron gas J. Phys. Chem. Solids 26 1965 1689 1694
42. L. Hedin, and S. Lundqvist Effects of electron-electron and electron-phonon interactions on the one-electron states of solids Solid State Phys. 23 1969 181
43. A.L. Fetter, and J.D. Walecka Quantum Theory of Many-Particle Systems 1971 McGraw-Hill San Francisco
44. A.A. Abrikosov, and L.P. Gorkov Methods of Quantum Field Theory in Statistical Physics 1975 Dover Publications
45. J.C. Inkson Many-Body Theory of Solids 1984 Plenum Press New York
46. G.D. Mahan Many-Particle Physics 1990 Plenum Press New York
47. D. Pines, and P. Nozieres The Theory of Quantum Liquids 1989 Addison Wesley
48. F. Aryasetiawan, and O. Gunnarsson The GW method Rep. Prog. Phys. 61 1998 237 312
49. M. Rohlfing, and S.G. Louie Electron-hole excitations and optical spectra from first principles Phys. Rev. B 62 2000 4927 4944
50. N.-P. Wang, M. Rohlfing, P. Krüger, and J. Pollmann Femtosecond dynamics of excited states of CO adsorbed on MgO(0 0 1)-(1 × 1) Phys. Rev. B 71 2005 045407
51. P.M. Echenique, J.M. Pitarke, E.V. Chulkov, and A. Rubio Theory of inelastic lifetimes of low-energy electrons in metals Chem. Phys. 251 2000 1 35
52. P.M. Echenique, R. Berndt, E.V. Chulkov, T. Fauster, A. Goldmann, and U. Höfer Decay of electronic excitations at metal surfaces Surf. Sci. Rep. 52 2004 219 317
53. P.M. Echenique, J. Osma, M. Machado, V.M. Silkin, E.V. Chulkov, and J.M. Pitarke Surface-state electron dynamics in noble metals Prog. Surf. Sci. 67 2001 271 283
54. E.V. Chulkov, A.G. Borisov, J.P. Gauyacq, D. Sanchez-Portal, V.M. Silkin, V.P. Zhukov, and P.M. Echenique Electronic excitations in metals and at metal surfaces Chem. Rev. 106 2006 4160 4206
55. N.W. Ashcroft, and N.D. Mermin Solid State Physics 1976 Saunders College Philadelphia Pa
56. J. Kliewer, R. Berndt, E.V. Chulkov, V.M. Silkin, P.M. Echenique, and S. Crampin Dimensionality effects in the lifetime of surface states Science 288 2000 1399 1402
57. A. García-Lekue, J.M. Pitarke, E.V. Chulkov, A. Liebsch, and P.M. Echenique Role of occupied d bands in the dynamics of excited electrons and holes in Ag Phys. Rev. B 68 2003 045103
58. J.J. Quinn The range of hot electrons and holes in metals Appl. Phys. Lett. 2 1963 167 169
59. S. Kaltenborn, and H.C. Schneider Spin-dependent lifetimes and nondegenerate spin-orbit driven hybridization points in Heusler compounds Phys. Rev. B 89 2014 115127
60. S. Kaltenborn, and H.C. Schneider Spin-orbit coupling effects on spin-dependent inelastic electronic lifetimes in ferromagnets Phys. Rev. B 90 2014 201104(R)
61. V.M. Silkin, M. Quijada, M.G. Vergniory, M. Alducin, A.G. Borisov, R. Díez Muiño, J.I. Juaristi, D. Sánchez-Portal, E.V. Chulkov, and P.M. Echenique Dynamic screening and electron dynamics in low-dimensional metal systems Nucl. Instr. Meth. Phys. Res. B 258 2007 72 78
62. E. Zarate, P. Apell, and P.M. Echenique Calculation of low-energy-electron lifetimes Phys. Rev. B 60 1999 2326 2332
63. C.N. Berglund, and W.E. Spicer Photoemission studies of copper and silver: theory Phys. Rev. 136 1964 A1030 A1044
64. C.N. Berglund, and W.E. Spicer Photoemission studies of copper and silver: experiment Phys. Rev. 136 1964 A1044 A1064
65. E.O. Kane Electron scattering by pair production in silicon Phys. Rev. 159 1967 624 631
66. W.F. Krolikowski, and W.E. Spicer Photoemission studies of the noble metals. I. Copper Phys. Rev. 185 1969 882 900
67. H.-J. Drouhin Total scattering cross section of spin-polarized low-energy electrons in transition metals Phys. Rev. B 62 2000 556 569
68. H.-J. Drouhin Low-energy electron mean free path and its spin dependence in transition metals Phys. Rev. B 56 1997 14886 14889
69. V.P. Zhukov, and E.V. Chulkov Lifetimes of low-energy electron excitations in metals J. Phys. Condens. Matter. 14 2002 1937 1947
70. V.P. Zhukov, F. Aryasetiawan, E.V. Chulkov, and P.M. Echenique Lifetimes of quasiparticle excitations in 4d transition metals: scattering theory and LMTO-RPA-GW approaches Phys. Rev. B 65 2002 115116
71. L. Hedin New method for calculating the one-particle green's function with application to the electron-gas problem Phys. Rev. 139 1965 A796 A823
72. E.V. Chulkov, V.M. Silkin, and M. Machado Quasiparticle dynamics on metal surfaces Surf. Sci. 482 2001 693 701
73. V.P. Zhukov, E.V. Chulkov, and P.M. Echenique Lifetimes of excited electrons in Fe and Ni: first-principles GW and the T-matrix theory Phys. Rev. Lett. 93 2004 096401
74. M. Springer, F. Aryasetiawan, and K. Karlsson First-principles T-matrix theory with application to the 6 eV satellite in Ni Phys. Rev. Lett. 80 1998 2389 2392
75. V.P. Zhukov, E.V. Chulkov, and P.M. Echenique GW + T theory of excited electron lifetimes in metals Phys. Rev. B 72 2005 155109
76. I.A. Nechaev, and E.V. Chulkov Variational Solution of the T-Matrix Integral Equation Phys. Rev. B 71 2005 115104
77. G. Grimvall The electron-phonon interaction in metals 1981 North-Holland Publishing Co
78. J. Li, W.-D. Schneider, R. Berndt, O.R. Bryant, and S. Crampin Surface-state lifetime measured by scanning tunneling spectroscopy Phys. Rev. Lett. 81 1998 4464 4467
79. L. Bürgi, O. Jeandupeux, H. Brune, and K. Kern Probing hot-electron dynamics at surfaces with a cold scanning tunneling microscope Phys. Rev. Lett. 82 1999 4516 4519
80. D. Wegner, A. Bauer, and G. Kaindl Electronic structure and dynamics of quantum-well states in thin Yb metal films Phys. Rev. Lett. 94 2005 126804
81. J. Kröger Electron phonon coupling at metal surfaces Rep. Prog. Phys. 69 2006 899 969
82. J.J. Paggel, T. Miller, and T.-C. Chiang Quasiparticle lifetime in macroscopically uniform Ag/Fe(1 0 0) quantum wells Phys. Rev. Lett. 81 1998 5632 5635
83. R. Matzdorf Investigation of line shapes and line intensities by high-resolution UV photoemission spectroscopy - some case studies on noble-metal surfaces Surf. Sci. Rep. 30 1998 153 206
84. F. Reinert, G. Nicolay, S. Schmidt, D. Ehm, and S. Hüfner Direct measurements of the L-gap surface states on the (1 1 1) face of noble metals by photoelectron spectroscopy Phys. Rev. B 63 2001 115415
85. J.J. Paggel, T. Miller, and T.-C. Chiang Quantum-well states as Fabry-Pérot Modes in a thin-film electron interferometer Science 283 1999 1709 1711
86. J.C. Fuggle, and J.E. Inglesfield Unoccupied Electronic States: Fundamentals for XANES, EELS, IPS and BIS 1992 Springer-Verlag
87. J.L. Skinner Theory of pure dephasing in crystals Annu. Rev. Phys. Chem. 39 1988 463 478
88. B. Hellsing, A. Eiguren, and E.V. Chulkov Electron-phonon coupling at metal surfaces J. Phys. Condens. Matter. 14 2002 5959 5977
89. B.A. McDougall, T. Balasubramanian, and E. Jensen Phonon contribution to quasiparticle lifetimes in Cu measured by angle-resolved photoemission Phys. Rev. B 51 1995 13891 13894
90. R. Matzdorf, G. Meister, and A. Goldmann Influence of electron-phonon interactions on angle-resolved photoelectron spectra from metals Surf. Sci. 296 1993 241 250
91. P. Straube, F. Pforte, T. Michalke, K. Berge, A. Gerlach, and A. Goldmann Photoemission study of the surface state at Y ¯ on Cu(1 1 0): band structure, electron dynamics, and surface optical properties Phys. Rev. B 61 2000 14072 14077
92. J. Kröger, S. Lehwald, and H. Ibach Estimation of the electron-phonon coupling parameter of Mo(1 1 0)-H and W(1 1 0)-H Phys. Rev. B 69 2004 201404
93. E. Beaurepaire, J.-C. Merle, A. Daunois, and J.-Y. Bigot Ultrafast spin dynamics in ferromagnetic nickel Phys. Rev. Lett. 76 1996 4250
94. R.R. Cavanagh, D.S. King, J.C. Stephenson, and T.F. Heinz Dynamics of nonthermal reactions: femtosecond surface chemistry J. Phys. Chem. 97 1993 786
95. R. Haight, and D.R. Peale Tunable photoemission with harmonics of subpicosecond lasers Rev. Sci. Instrum. 65 1994 1853 1857
96. M. Probst, and R. Haight Unoccupied molecular orbital states of tris (8-hydroxy quinoline) aluminum: observation and dynamics Appl. Phys. Lett. 71 1997 202
97. M. Bauer, C. Lei, K. Read, R. Tobey, J. Gland, M.M. Murnane, and H. Kapteyn Direct observation of surface chemistry using ultrafast soft-X-ray pulses Phys. Rev. Lett. 87 2001 025501
98. L. Perfetti, P.A. Loukakos, M. Lisowski, U. Bovensiepen, H. Berger, S. Biermann, P.S. Cornaglia, A. Georges, and M. Wolf Time evolution of the electronic structure of 1T-TaS2 through the insulator-metal transition Phys. Rev. Lett. 97 2006 067402
99. F. Schmitt, P.S. Kirchmann, U. Bovensiepen, R.G. Moore, L. Rettig, M. Krenz, J.-H. Chu, N. Ru, L. Perfetti, D.H. Lu, M. Wolf, I.R. Fisher, and Z.-X. Shen transient electronic structure and melting of a charge density wave in TbTe3 Science 321 2008 1649
100. T. Rohwer, S. Hellmann, M. Wiesenmayer, C. Sohrt, A. Stange, B. Slomski, A. Carr, Y. Liu, L. Miaja Avila, M. Kalläne, S. Mathias, L. Kipp, K. Rossnagel, and M. Bauer Collapse of long-range charge order tracked by time-resolved photoemission at high momenta Nature 471 2011 490
101. J.C. Petersen, S. Kaiser, N. Dean, A. Simoncig, H.Y. Liu, A.L. Cavalieri, C. Cacho, I.C.E. Turcu, E. Springate, F. Frassetto, L. Poletto, S.S. Dhesi, H. Berger, and A. Cavalleri Clocking the melting transition of charge and lattice order in 1T-TaS2 with ultrafast extreme-ultraviolet angle-resolved photoemission spectroscopy Phys. Rev. Lett. 107 2011 177402
102. I. Gierz, J.C. Petersen, M. Mitrano, C. Cacho, I.C.E. Turcu, E. Springate, A. Stöhr, A. Köhler, U. Starke, and A. Cavalleri Snapshots of non-equilibrium Dirac carrier distributions in graphene Nat. Mater. 12 2013 1119 1124
103. S. Passlack, S. Mathias, O. Andreyev, D. Mittnacht, M. Aeschlimann, and M. Bauer Space charge effects in photoemission with a low repetition, high intensity femtosecond laser source J. Appl. Phys. 100 2006 024912
104. J. Graf, S. Hellmann, C. Jozwiak, C.L. Smallwood, Z. Hussain, R.A. Kaindl, L. Kipp, K. Rossnagel, and A. Lanzara Vacuum space charge effect in laser-based solid-state photoemission spectroscopy J. Appl. Phys. 107 2010 014912
105. E. Knoesel, A. Hotzel, and M. Wolf Ultrafast dynamics of hot electrons and holes in copper: excitation, energy relaxation, and transport effects Phys. Rev. B 57 1998 12812 12824
106. U. Höfer, I.L. Shumay, C. Reuß, U. Thomann, W. Wallauer, and T. Fauster Time-resolved coherent photoelectron spectroscopy of quantized electronic states on metal surfaces Science 277 1997 5331
107. M. Weinelt, A.B. Schmidt, M. Pickel, and M. Donath Spin-polarized image-potential-state electrons as ultrafast magnetic sensors in front of ferromagnetic surfaces Prog. Surf. Sci. 82 2007 388 406
108. E. Knoesel, T. Hertel, M. Wolf, and G. Ertl Femtosecond dynamics of electronic excitations of adsorbates studied by two-photon photoemission pulse correlation: CO/Cu(1 1 1) Chem. Phys. Lett. 240 1995 409 416
109. M. Bauer, S. Pawlik, and M. Aeschlimann The resonance lifetime and energy of an excited Cs-state on Cu(1 1 1) Phys. Rev. B. 55 1997 10040
110. S. Ogawa, H. Nagano, and H. Petek Phase and energy relaxation in an antibonding surface state: Cs/Cu(1 1 1) Phys. Rev. Lett. 82 1999 1931
111. H. Petek, H. Nagano, and S. Ogawa Hot-electron dynamics in copper revisited: the d-band effect Appl. Phys. B 68 1999 369 375
112. E. Knoesel, A. Hotzel, and M. Wolf Temperature dependence of surface state lifetimes, dephasing rates and binding energies on Cu(1 1 1) studied with time resolved photoemission J. Electron Spectrosc. Relat. Phenom. 88-91 1998 577 584
113. M.J. Weida, S. Ogawa, H. Nagano, and H. Petek Ultrafast interferometric pump/probe correlation measurements in systems with broadened bands or continua J. Opt. Soc. Am. B 17 2000 1443
114. W. Ekardt, W.-D. Schöne, and R. Keyling The determination of the lifetime of hot electrons in metals by time-resolved two-photon photoemission: the role of transport effects, virtual states, and transient excitons Appl. Phys. A 71 2000 529 535
115. J. Hohlfeld, J.G. Müller, S.S. Wellershoff, and E. Matthias Time-resolved thermoreflectivity of thin gold films and its dependence on film thickness Appl. Phys. B 64 1997 387 390
116. J. Garduno, M.P. Higlett, and S.R. Meech Modeling the influence of nonthermal electron dynamics in thin and ultrathin gold films Chem. Phys. 341 2007 276 284
117. E. Carpene Ultrafast laser irradiation of metals: beyond the two-temperature model Phys. Rev. B 74 2006 024301
118. X. Liu, R. Stock, and W. Rudolph Ballistic electron transport in Au films Phys. Rev. B 72 2005 195431
119. Y.V. Sharvin, and L.M. Fisher Observation of focused electron beams in a metal JETP Lett. 1 1965 152
120. J. Heil, M. Primke, K.U. Würz, and P. Wyder Real space imaging of ballistic carrier propagation in bi single crystals Phys. Rev. Lett. 74 1995 146 149
121. J. Heil, M. Primke, A. Böhm, P. Wyder, B. Wolf, J. Major, and P. Keppler Electron focusing in Ag and W single crystals Phys. Rev. B 54 1996 R2280 R2283
122. R. Knorren, K.H. Bennemann, R. Burgermeister, and M. Aeschlimann Dynamics of excited electrons in copper and ferromagnetic transition metals: theory and experiment Phys. Rev. B 61 2000 9427 9440
123. M. Aeschlimann, M. Bauer, S. Pawlik, R. Knorren, G. Bouzerar, and K.H. Bennemann Transport and dynamics of optically excited electrons in metals Appl. Phys. A 71 2000 485 491
124. J. Hohlfeld, S. Wellershoff, J. Güdde, U. Conrad, V. Jähnke, and E. Matthias Electron and lattice dynamics following optical excitation of metals Chem. Phys. 251 2000 237 258
125. J. Cao, Y. Gao, H.E. Elsayed-Ali, R.J.D. Miller, and D.A. Mantell Femtosecond photoemission study of ultrafast electron dynamics in single-crystal Au(1 1 1) films Phys. Rev. B 58 1998 10948 10952
126. R. Knorren, G. Bouzerar, and K.H. Bennemann Theory for transport and temperature effects on two-photon photoemission: application to Cu Phys. Rev. B 63 2001 125122
127. J. Cao, Y. Gao, R.J.D. Miller, H.E. Elsayed-Ali, and D.A. Mantell Femtosecond photoemission study of ultrafast electron dynamics on Cu(1 0 0) Phys. Rev. B 56 1997 1099 1102
128. M. Lisowski, P.A. Loukakos, U. Bovensiepen, and M. Wolf Femtosecond dynamics and transport of optically excited electrons in epitaxial Cu films on Si (1 1 1)-7×7 Appl. Phys. A 79 2004 739 741
129. H. Ehrenreich, and H.R. Philipp Optical properties of Ag and Cu Phys. Rev. 128 1962 1622 1629
130. P.B. Johnson, and R.W. Christy Optical Constants of the Noble Metals Phys. Rev. B 6 1972 4370 4379
131. M.A. Cazalilla, J.S. Dolado, A. Rubio, and P.M. Echenique Plasmonic excitations in noble metals: the case of Ag Phys. Rev. B 61 2000 8033 8042
132. E. Knoesel, A. Hotzel, T. Hertel, M. Wolf, and G. Ertl Dynamics of photoexcited electrons in metals studied with time-resolved two-photon photoemission Surf. Sci. 368 1996 76 81
133. M.J. Weida, S. Ogawa, H. Nagano, and H. Petek Parallel excitation pathways in ultrafast interferometric pump-probe correlation measurements of hot-electron lifetimes in metals Appl. Phys. A 71 2000 553 559
134. R.H.M. Groeneveld, R. Sprik, and A. Lagendijk Effect of a nonthermal electron distribution on the electron-phonon energy relaxation process in noble metals Phys. Rev. B 45 1992 5079 5082
135. T. Fauster, and M. Weinelt Time-resolved photoemission from image-potential states J. Electron Spectrosc. Relat. Phenom. 114-116 2001 269 275
136. J.C. Diels, W. Rudolph, and S.A. Miller Ultrashort laser pulse phenomena Opt. Eng. 36 1997 2362
137. J.D. Kafka, and T. Baer Prism-pair dispersive delay lines in optical pulse compression Opt. Lett. 12 1987 401 403
138. T. Hertel, E. Knoesel, M. Wolf, and G. Ertl Ultrafast electron dynamics at Cu(1 1 1): response of an electron gas to optical excitation Phys. Rev. Lett. 76 1996 535 538
139. M. Bauer, S. Pawlik, and M. Aeschlimann Decay dynamics of photoexcited alkali chemisorbates: real-time investigations in the femtosecond regime Phys. Rev. B 60 1999 5016 5028
140. J.P. Gauyacq, A.G. Borisov, and M. Bauer Excited states in the alkali/noble metal surface systems: a model system for the study of charge transfer dynamics at surfaces Prog. Surf. Sci. 82 2007 244 292
141. M. Bauer, S. Pawlik, R. Burgermeister, and M. Aeschlimann Symmetry properties of an alkali excitation at a noble metal surface as investigated by two-photon photoemission Surf. Sci. 402-404 1998 62
142. F. Ladstädter, U. Hohenester, P. Puschnig, and C. Ambrosch-Draxl First-principles calculation of hot-electron scattering in metals Phys. Rev. B 70 2004 235125
143. A. vom Felde, J. Sprösser-Prou, and J. Fink Valence-electron excitations in the alkali metals Phys. Rev. B 40 1989 10181 10193
144. Y. Baer, and G. Busch X-ray photoemission from aluminum Phys. Rev. Lett. 30 1973 280 282
145. N.W. Ashcroft, and K. Sturm Interband absorption and the optical properties of polyvalent metals Phys. Rev. 3 1971 1898 1910
146. N.W. Ashcroft The Fermi surface of aluminium Phys. Lett. 4 1963 202 205
147. H.J. Levinson, F. Greuter, and E.W. Plummer Experimental band structure of Aluminum Phys. Rev. B 27 1983 727 747
148. H. Ehrenreich, H.R. Philipp, and B. Segall Optical properties of aluminum Phys. Rev. 132 1963 1918 1928
149. F. Szmulowicz, and B. Segall Calculation of optical spectra of aluminum Phys. Rev. B 24 1981 892 903
150. J. Callaway, and D.G. Laurent Optical conductivity of aluminum Phys. Lett. A 84 1981 499 500
151. L.W. Bos, and D.W. Lynch Low-energy optical absorption peak in aluminum and Al-Mg alloys Phys. Rev. Lett. 25 1970 156 158
152. K.-H. Lee, and K.J. Chang First-principles study of the optical properties and the dielectric response of Al Phys. Rev. B 49 1994 2362 2367
153. I. Campillo, V.M. Silkin, J.M. Pitarke, E.V. Chulkov, A. Rubio, and P.M. Echenique First-principles calculations of hot-electron lifetimes in metals Phys. Rev. B 61 2000 13484 13492
154. I. Campillo, J.M. Pitarke, and A.G. Eguiluz Electronic stopping power of aluminum crystal Phys. Rev. B 58 1998 10307 10314
155. W.-D. Schöne, R. Keyling, M. Bandić, and W. Ekardt Calculated lifetimes of hot electrons in aluminum and copper using a plane-wave basis set Phys. Rev. B 60 1999 8616 8623
156. M. Bauer, S. Pawlik, and M. Aeschlimann Electron dynamics of aluminum investigated by means of time-resolved photoemission Proc. SPIE 3272 1998 201 210
157. L.P.H. Jeurgens, W.G. Sloof, F.D. Tichelaar, and E.J. Mittemeijer Growth kinetics and mechanisms of aluminum-oxide films formed by thermal oxidation of aluminum J. Appl. Phys. 92 2002 1649
158. R.E. Leuchtner, A.C. Harms, and A.W. Castleman Jr. Thermal metal cluster anion reactions: behavior of aluminum clusters with oxygen J. Chem. Phys. 91 1989 2753
159. R. Lässer, N.V. Smith, and R.L. Benbow Empirical band calculations of the optical properties of d-band metals. I. Cu, Ag, and Au Phys. Rev. B 24 1981 1895 1909
160. S. Pawlik, M. Bauer, and M. Aeschlimann Lifetime difference of photoexcited electrons between intraband and interband transitions Surf. Sci. 377 1997 206 209
161. H. Petek, H. Nagano, M.J. Weida, and S. Ogawa The role of Auger decay in hot electron excitation in copper Chem. Phys. 251 2000 71 86
162. A. Goldmann, R. Matzdorf, and F. Theilmann Experimental hot-electron and photohole lifetimes at metal surfaces - what do we know? Surf. Sci. 414 1998 932 937
163. R. Keyling, W.-D. Schöne, and W. Ekardt Comparison of the lifetime of excited electrons in noble metals Phys. Rev. B 61 2000 1670 1673
164. R. Knorren, G. Bouzerar, and K.H. Bennemann Dynamics of excited electrons in copper: the role of Auger electrons Phys. Rev. B 63 2001 094306
165. R. Knorren, G. Bouzerar, and K.H. Bennemann Theory for the dynamics of excited electrons in noble and transition metals J. Phys. Condens. Matter. 14 2002 R739 R765
166. V.P. Zhukov, E.V. Chulkov, and P.M. Echenique Lifetimes of d holes in Cu and Au: full-potential LMTO approach Phys. Rev. B 68 2003 045102
167. M. Wolf, and M. Aeschlimann Femtosekunden-Dynamik in Metallen - das kurze Leben heißer Elektronen Phys. Bl. 54 1998 145
168. S. Ogawa, H. Nagano, and H. Petek Optical intersubband transitions and femtosecond dynamics in Ag/Fe(1 0 0) quantum wells Phys. Rev. Lett. 88 2002 116801
169. M. Aeschlimann, Time resolved studies of electron relaxation at metal surfaces, habilitation thesis, ETH Zürich, 1996.
170. H. Petek, H. Nagano, and S. Ogawa Hole decoherence of d bands in copper Phys. Rev. Lett. 83 1999 832 835
171. N.V. Smith Photoemission spectra and band structures of d-band metals. III. Model band calculations on Rh, Pd, Ag, Ir, Pt, and Au Phys. Rev. B 9 1974 1365 1376
172. R.L. Benbow, and N.V. Smith Photoemission spectra and band structures of d-band metals. X. Relativistic momentum matrix elements Phys. Rev. B 27 1983 3144 3151
173. N.V. Smith, G.K. Wertheim, S. Hüfner, and M.M. Traum Photoemission spectra and band structures of d-band metals. IV. X-ray photoemission spectra and densities of states in Rh, Pd, Ag, Ir, Pt, and Au Phys. Rev. B 10 1974 3197 3206
174. A. Goldmann, H. Landolt, and R. Börnstein Electronic Structure of Solids: Photoemission Spectra and Related Data: Subvolume C1 Noble Metals, Noble Metal Halides and Nonmagnetic Transition Metals 1999 Springer
175. S. Ogawa, H. Nagano, and H. Petek Hot-electron dynamics at Cu(1 0 0), Cu(1 1 0), and Cu(1 1 1) surfaces: comparison of experiment with Fermi-liquid theory Phys. Rev. B 55 1997 10869 10877
176. S. Ogawa, and H. Petek Femtosecond dynamics of hot-electron relaxation in Cu(1 1 0) and Cu (1 0 0) Surf. Sci. 357 1996 585 594
177. I. Campillo, J.M. Pitarke, A. Rubio, E. Zarate, and P.M. Echenique Inelastic lifetimes of hot electrons in real metals Phys. Rev. Lett. 83 1999 2230 2233
178. I.G. Gurtubay, J.M. Pitarke, and P.M. Echenique Exchange and correlation effects in the relaxation of hot electrons in noble metals Phys. Rev. B 69 2004 245106
179. R. Knorren, and K.H. Bennemann Calculation of the short-time dynamics of the hot-electron distribution in noble and transition metals Appl. Phys. B 68 1999 401 404
180. I. Campillo, A. Rubio, and J.M. Pitarke Ab initio calculations of the dynamical response of copper Phys. Rev. B 59 1999 12188 12191
181. I. Campillo, A. Rubio, J.M. Pitarke, A. Goldmann, and P.M. Echenique Hole dynamics in noble metals Phys. Rev. Lett. 85 2000 3241 3244
182. M. Wolf, Ultrakurzzeitdynamik elektronischer Anregungen an Festkörperoberflächen, habilitation thesis, FU Berlin, 1998.
183. X. Cui, C. Wang, A. Argondizzo, S. Garrett-Roe, B. Gumhalter, and H. Petek Transient excitons at metal surfaces Nat. Phys. 10 2014 505
184. W.-D. Schöne, and W. Ekardt Time-dependent screening of a positive charge distribution in metals: excitons on an ultrashort time scale Phys. Rev. B 62 2000 13464 13471
185. W.-D. Schöne, and W. Ekardt Transient excitonic states in noble metals and Al Phys. Rev. B 65 2002 113112
186. V.P. Zhukov, F. Aryasetiawan, E.V. Chulkov, I.G. de Gurtubay, and P.M. Echenique Corrected local-density approximation band structures, linear-response dielectric functions, and quasiparticle lifetimes in noble metals Phys. Rev. B 64 2001 195122
187. N.E. Christensen, and B.O. Seraphin Relativistic band calculation and the optical properties of gold Phys. Rev. B 4 1971 3321 3344
188. P. Pyykko Relativistic effects in structural chemistry Chem. Rev. 88 1988 563 594
189. I. Campillo, J.M. Pitarke, A. Rubio, and P.M. Echenique Role of occupied d states in the relaxation of hot electrons in Au Phys. Rev. B 62 2000 1500 1503
190. V.P. Zhukov, E.V. Chulkov, and P.M. Echenique Lifetimes and inelastic mean free path of low-energy excited electrons in Fe, Ni, Pt, and Au: Ab initio GW + T calculations Phys. Rev. B 73 2006 125105
191. K. Reuter, U. Hohenester, P.L. de Andres, F.J. Garcia-Vidal, F. Flores, K. Heinz, and P. Kocevar Electron energy relaxation times from ballistic-electron-emission spectroscopy Phys. Rev. B 61 2000 4522 4525
192. F. Ladstädter, P.F. de Pablos, U. Hohenester, P. Puschnig, C. Ambrosch-Draxl, P.L. de Andrés, F.J. García-Vidal, and F. Flores Hot-electron lifetimes in metals: a combined ab initio calculation and ballistic electron emission spectroscopy analysis Phys. Rev. B 68 2003 085107
193. K. Reuter, P.L. de Andres, F.J. Garcia-Vidal, F. Flores, U. Hohenester, and P. Kocevar Hot electron transport in ballistic electron emission spectroscopy: band structure effects and k//-space currents Europhys. Lett. 45 1999 181 187
194. M. Merschdorf, C. Kennerknecht, and W. Pfeiffer Collective and single-particle dynamics in time-resolved two-photon photoemission Phys. Rev. B 70 2004 193401
195. A. Mönnich, J. Lange, M. Bauer, M. Aeschlimann, I.A. Nechaev, V.P. Zhukov, P.M. Echenique, and E.V. Chulkov Experimental time-resolved photoemission and ab initio study of lifetimes of excited electrons in Mo and Rh Phys. Rev. B 74 2006 035102
196. I.A. Nechaev, V.P. Zhukov, P.M. Echenique, and E.V. Chulkov GW-lifetime of quasiparticle excitations in paramagnetic d-transition metals Phys. Rev. B 76 2007 245125
197. I.A. Nechaev, V.P. Zhukov, and E.V. Chulkov Ab initio calculation of the lifetime of quasiparticle excitations in transition metals within the framework of the GW approximation Phys. Sol. State 49 2007 1811 1819
198. D.A. Papaconstantopoulos Handbook of the Band Structure of Elemental Solids 1986 Plenum Press New York
199. V.P. Zhukov, O. Andreyev, D. Hoffmann, M. Bauer, M. Aeschlimann, E.V. Chulkov, and P.M. Echenique Lifetimes of excited electrons in Ta: experimental time-resolved photoemission data and first-principles GW + T theory Phys. Rev. B 70 2004 233106
200. L.F. Mattheiss Electronic structure of niobium and tantalum Phys. Rev. B 1 1970 373 380
201. A. Goris, K.M. Döbrich, I. Panzer, A.B. Schmidt, M. Donath, and M. Weinelt Role of spin-flip exchange scattering for hot-electron lifetimes in cobalt Phys. Rev. Lett. 107 2011 026601
202. J. Hong, and D.L. Mills Theory of the spin dependence of the inelastic mean free path of electrons in ferromagnetic metals: a model study Phys. Rev. B 59 1999 13840 13848
203. V.P. Zhukov, E.V. Chulkov, and P.M. Echenique First-principles multiple scattering theory of quasiparticle lifetimes in ferromagnetic materials J. Magn. Magn. Mater. 272-276 2004 466 467
204. V.L. Moruzzi, J.F. Janak, and A.R. Williams Calculated Electronic Properties of Metals 1978 Elsevier
205. J. Callaway, and C.S. Wang Energy bands in ferromagnetic iron Phys. Rev. B 16 1977 2095 2105
206. M. Sánchez Albaneda, Femtosecond spin-dependent electron dynamics in Co and Fe thin films, PhD thesis, TU Kaiserslautern, 2007.
207. V. P. Zhukov (private communication).
208. D.R. Penn, S.P. Apell, and S.M. Girvin Spin polarization of secondary electrons in transition metals: theory Phys. Rev. B 32 1985 7753 7768
209. J.B. Mann Atomic Structure Calculations 1967 Los Alamos Scientific Laboratory of the University of California
210. M. Cinchetti, M. SánchezAlbaneda, D. Hoffmann, T. Roth, J.-P. Wüstenberg, M. Krauß, O. Andreyev, H.C. Schneider, M. Bauer, and M. Aeschlimann Spin-flip processes and ultrafast magnetization dynamics in Co: unifying the microscopic and macroscopic view of femtosecond magnetism Phys. Rev. Lett. 97 2006 177201
211. A. Bauer, A. Mühlig, D. Wegner, and G. Kaindl Lifetime of surface states on (0 0 0 1) surfaces of lanthanide metals Phys. Rev. B 65 2002 075421
212. P.A. Loukakos, M. Lisowski, G. Bihlmayer, S. Blügel, M. Wolf, and U. Bovensiepen Dynamics of the self-energy of the Gd(0 0 0 1) surface state probed by femtosecond photoemission spectroscopy Phys. Rev. Lett. 98 2007 097401
213. V.P. Zhukov, E.V. Chulkov, P.M. Echenique, A. Marienfeld, M. Bauer, and M. Aeschlimann Is the excited electron dynamics in Yb free-electron-gas-like? Phys. Rev. B 76 2007 193107
214. A. Marienfeld, M. Cinchetti, M. Bauer, M. Aeschlimann, V.P. Zhukov, E.V. Chulkov, and P.M. Echenique Experimental time-resolved photoemission and ab initio GW+T study of lifetimes of excited electrons in ytterbium J. Phys. Condens. Matter. 19 2007 496213
215. A.V. Fedorov, T. Valla, F. Liu, P.D. Johnson, M. Weinert, and P.B. Allen Spin-resolved photoemission study of photohole lifetimes in ferromagnetic gadolinium Phys. Rev. B 65 2002 212409
216. A.O. Shorikov, A.V. Lukoyanov, M.A. Korotin, and V.I. Anisimov Magnetic state and electronic structure of the delta and alpha phases of metallic Pu and its compounds Phys. Rev. B 72 2005 024458
217. C. Ma, L. Ye, and Z. Yang Electronic structures of perovskite BaTbO3 studied by the LSDA + U method J. Phys. Condens. Matter. 17 2005 7963 7969
218. M. Bodenbach, A. Höhr, C. Laubschat, G. Kaindl, and M. Methfessel Surface electronic structure of Tm(0 0 0 1) and Yb(1 1 1) Phys. Rev. B 50 1994 14446 14451
219. O.K. Andersen, O. Jepsen, M. Sob, in: M. Yussouff (ed.), Electronic band structure and its applications, Vol. 283 of the Lecture Notes in Physics, Springer, Heidelberg, 1987.
220. W.-D. Schneider, C. Laubschat, and B. Reihl Temperature-dependent microstructure of evaporated Yb surfaces Phys. Rev. B 27 1983 6538 6541
221. V.I. Anisimov, F. Aryasetiawan, and A.I. Liechtenstein First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA + U method J. Phys. Condens. Matter. 9 1997 767 808
222. M.A. Ruderman, and C. Kittel Indirect exchange coupling of nuclear magnetic moments by conduction electrons Phys. Rev. 96 1954 99
223. T. Kasuya A theory of metallic ferro- and antiferromagnetism on Zener's model Prog. Theor. Phys. 16 1956 45
224. K. Yosida Magnetic properties of Cu-Mn alloys Phys. Rev. 106 1957 893 898
225. H.E. Nigh, S. Legvold, and F.H. Spedding Magnetization and electrical resistivity of gadolinium single crystals Phys. Rev. 132 1963 1092
226. Ph. Kurz, G. Bihlmayer, and S. Blügel Magnetism and electronic structure of hcp Gd and the Gd (0 0 0 1) surface J. Phys. Condens. Matter. 14 2002 6353 6371
227. A.B. Shick, A.I. Liechtenstein, and W.E. Pickett Implementation of the LDA + U method using the full-potential linearized augmented plane-wave basis Phys. Rev. B 60 1999 10763 10769
228. S.C. Wu, H. Li, D. Tian, J. Quinn, Y.S. Li, F. Jona, J. Sokolov, and N.E. Christensen Electron band structure of a rare-earth metal: Tb(0 0 0 1) Phys. Rev. B 41 1990 11911 11918
229. S.C. Wu, H. Li, D. Tian, J. Quinn, Y.S. Li, F. Jona, J. Sokolov, and N.E. Christensen Erratum: electron band structure of a rare-earth metal: Tb(0 0 0 1) Phys. Rev. B 43 1991 12060
230. S.C. Wu, H. Li, Y.S. Li, D. Tian, J. Quinn, F. Jona, D. Fort, and N.E. Christensen Reexamination of the electron band structure of Tb along the ΓΔ A line Phys. Rev. B 45 1992 8867 8872
231. C. Jackson Electronic structure of terbium using the relativistic augmented-plane-wave method Phys. Rev. 178 1969 949 952
232. K.M. Döbrich, G. Bihlmayer, K. Starke, J.E. Prieto, K. Rossnagel, H. Koh, E. Rotenberg, S. Blugel, and G. Kaindl Electronic band structure and Fermi surface of ferromagnetic Tb: experiment and theory Phys. Rev. B 76 2007 035123
233. D. Wegner, A. Bauer, and G. Kaindl Magnon-broadening of exchange-split surface states on lanthanide metals Phys. Rev. B 73 2006 165415
234. F.P. Netzer, and J.A.D. Mattew Surfaces of rare earth metals Rep. Prog. Phys. 49 1986 621 681
235. R.G. Musket, W. McLean, C.A. Colmenares, D.M. Makowiecki, and W.J. Siekhaus Preparation of atomically clean surfaces of selected elements: a review Appl. Surf. Sci. 10 1982 143 207
236. A. Ruffing, S. Vollmar, S. Jakobs, S. Kaltenborn, A. Baral, M. Cinchetti, S. Mathias, H.C. Schneider, and M. Aeschlimann Ultrafast electron dynamics in a metallic quantum well nanofilm with spin splitting Phys. Rev. B 88 2013 075148
237. M. Battiato, K. Carva, and P.M. Oppeneer Superdiffusive spin transport as a mechanism of ultrafast demagnetization Phys. Rev. Lett. 105 2010 027203
238. E. Turgut, C. La-o-vorakiat, J.M. Shaw, P. Grychtol, H.T. Nembach, D. Rudolf, R. Adam, M. Aeschlimann, C.M. Schneider, T.J. Silva, M.M. Murnane, H.C. Kapteyn, and S. Mathias Controlling the competition between optically induced ultrafast spin-flip scattering and spin transport in magnetic multilayers Phys. Rev. Lett. 110 2013 197201
239. S. Mathias, A. Ruffing, F. Deicke, M. Wiesenmayer, M. Aeschlimann, and M. Bauer Band structure dependence of hot-electron lifetimes in a Pb/Cu(1 1 1) quantum-well system Phys. Rev. B 81 2010 155429
240. P.S. Kirchmann, and U. Bovensiepen Ultrafast electron dynamics in Pb/Si(1 1 1) investigated by two-photon photoemission Phys. Rev. B 78 2008 035437
241. P.S. Kirchmann, L. Rettig, X. Zubizarreta, V.M. Silkin, E.V. Chulkov, and U. Bovensiepen Quasiparticle lifetimes in metallic quantum-well nanostructures Nat. Phys. 6 2010 782
242. R. Porath, T. Ohms, M. Scharte, J. Beelsey, M. Wessendorf, O. Andreyev, C. Wiemann, and M. Aeschlimann Relaxation of hot electrons in solids of reduced dimensions L.M. Liz-Marzan, M. Giersing, Low-Dimensional Systems: Theory, Preparation, and Some Applications 2003 Kluwer Academic Publishers