Superoperator nonequilibrium Green's function theory of many-body systems; applications to charge transfer and transport in open junctions

Physics Reports

Volumn 465, Issue 5, 2008, Pages 191-222

  Harbola, U ^a   Mukamel, S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Charge transfer; Keldysh Greens functions; Liouville space; Physical representation; Superoperators

Indexed keywords

EID: 49449098332     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2008.05.003     Document Type: Review

References (110)

1. Schwinger J. J. Math. Phys. 2 (1961) 407-432
2. Keldysh L.V. Sov. Phys. J. 20 (1965) 1018-1026
3. Langreth D.C. In: Devreese J.T., and van Doren V.E. (Eds). Linear and Non-Linear Transport in Solids. Nato Advanced Study Institute, Series B: Physics vol. 17 (1976), Plenum, New York
4. Rammer J. Quantum Theory of Non-Equilibrium States (2007), Cambridge University Press, New York
5. Kadanoff L.P., and Byam G. Quantum Statistical Mechanics (1962), Bejamin, New York
6. Zagoskin A.M. Quantum Theory of Many-Body Systems. Techniques and Applications (1998), Springer-Verlag, New York
7. Mahan G.D. Many Particle Physics (1993), Plenum Press, New York p. 95
8. Haug H., and Jauho A.-P. Quantum Kinetics in Transport and Optics of Semiconductors (1996), Springer-Verlag, Berlin, Heidelberg p. 59
9. Rammer J., and Smith H. Rev. Modern Phys. 58 (1986) 323-359
10. Datta S. Electronic Transport in Mesoscopic Systems (1997), Cambridge University Press, Cambridge (chapter 8)
11. Arai H., and Fujikawa T. Phys. Rev. B 72 (2005) 075102-075117
12. Caroli C., Lederer-Rozenblatt D., Roulet B., and Saint-James D. Phys. Rev. B 8 (1973) 4552-4569
13. Fujikawa T., and Arai H. Chem. Phys. Lett. 368 (2003) 147-152
14. Chou K.-c., Su Z.-b., Hao B.-l., and Yu L. Phys. Rep. 118 (1985) 1-131
15. Wang E., and Heinz U. Phys. Rev. D 66 (2002) 025008
16. Mills R. Propagators for Many-Particle Systems; An Elementary Treatment (1969), Gordon and Breach, New York
17. Mukamel S. Phys. Rev. A 77 (2008) 023801
18. Mukamel S. Phys. Rev. A. 76 (2007) 021803
19. Hao B.-l. Physica 109A (1981) 221-236
20. Wai-Yong W., Heng L.Z., Bin S.Z., and Bai-Lin H. Chinese Phys. 3 (1983) 813-820
21. Mukamel S. Principles of Nonlinear Optical Spectroscopy (1995), Oxford University Press, New York p. 45
22. Harbola U., and Mukamel S. J. Chem. Phys. 124 (2006) 044106-044117
23. Hedin L. Phys. Rev. 139 (1965) 796-823
24. Hedin L. J. Phys.: Condens. Matter 11 (1999) R489-R528
25. Onida G., Reining L., and Rubio A. Rev. Modern Phys. 74 (2002) 601-659
26. Aryasetiawan F., and Gunnarsson O. Rep. Progr. Phys. 61 (1998) 237-312
27. Harbola U., Maddox J., and Mukamel S. Phy. Rev. B 73 (2006) 205404-205418
28. Harbola U., Maddox J., and Mukamel S. Phy. Rev. B 73 (2006) 075211-075229
29. Chernyak V., Wang N., and Mukamel S. Phys. Rep. 263 (1995) 213-309
30. Mukamel S. Phys. Rev. E 68 (2003) 021111
31. Cohen A.E., and Mukamel S. J. Phys. Chem. A 107 (2003) 3633-3638
32. Cohen A.E., and Mukamel S. Phys. Rev. Lett. 91 (2003) 233202-233205
33. Harbola U., and Mukamel S. Phys. Rev. A 70 (2004) 052506-052521
34. Mukamel S. Phys. Rev. A 71 (2005) 024503-024506
35. Leeuwen R.V. Internat. J. Modern Phys. B 15 (2001) 1969-2023
36. Kohn W., and Sham J.L. Phys. Rev. 140 (1965) 1133-1138
37. Hohenberg P., and Kohn W. Phys. Rev. 136 (1964) 864-871
38. Marcus R.A. Rev. Modern Phys. 65 (1993) 599-610
39. Electron Transfer-From Isolated Molecules To Biomolecules. In: Jortner J., and Bixon M. (Eds). Adv. Chem. Phys. (1999), John Wiley and Sons Ltd 106
40. Wu Q., and Van Voorhis T. J. Chem. Phys. 25 (2006) 164105
41. Cheng C.L., Evans J.S., and Van Voorhis T. Phys. Rev. B 74 (2006) 155112
42. Rammer J., Shelankov A.L., and Wabnig J. Phys. Rev. B 70 (2004) 115327
43. Shelankov A., and Rammer J. Europhys. Lett. 63 (2003) 485-491
44. Levitov L.S., Lee H., and Lesovik G.B. J. Math. Phys. 37 (1996) 4845
45. Buttiker M. Science 313 (2006) 1587
46. Texier C., and Buttiker M. Phys. Rev. B 62 (2000) 7454-7458
47. Fujisawa T., Hayashi T., Tomita R., and Hirayama Y. Science 312 (2006) 1634
48. Kiesel H., Renz A., and Hasselbach F. Nature 418 (2002) 392
49. Glauber R.J. Phys. Rev. 131 (1963) 2766
50. Jeltes T., McNamara J.M., Hogervorst W., Vassen W., Krachmalnicoff V., Schellekens M., Perrin A., Chang H., Boiron D., Aspect A., and Westbrook C.I. Nature 445 (2007) 402
51. Glauber R.J. Quantum Theory of Optical Coherence (2007), Wiley-VCH Verlag GmbH & Co.
52. Mukamel S. Phys. Rev. A 68 (2003) 063821
53. Jansen T.l.C., and Mukamel S. J. Chem. Phys. 119 (2003) 7979
54. Landauer R. IBM J. Res. Dev. 1 (1957) 223
55. Büttiker M. Phys. Rev. Lett. 57 (1986) 1761
56. Bardeen J. Phys. Rev. Lett. 6 (1961) 57-59
57. Tersoff J., and Hamann D.R. Phys. Rev. Lett. 50 (1983) 1998-2001
58. Tersoff J., and Hamann D.R. Phys. Rev. B 31 (1985) 805-815
59. Marx C., Harbola U., and Mukamel S. Phys. Rev. A 77 (2008) 022110
60. Ho W. J. Chem. Phys. 117 (2002) 11033-11061
61. Caroli C., Combescot R., Noziér P., and James D.S. J. Phys. C 5 (1972) 21
62. Faraday Discuss 117 (2000) 277-290
63. Lorente N., Persson M., Lauhon L.J., and Ho W. Phys. Rev. Lett. 86 (2001) 2593-2596
64. Lorente N., and Persson M. Phys. Rev. Lett. 85 (2000) 2997
65. Blanco J.M., Gonzalez C., Jelinek P., Ortega J., Flores F., and Perez R. Phys. Rev. B 70 (2004) 085405-085414
66. Asai Y. Phys. Rev. Lett. 93 (2004) 246102-246105 94 (2005) 099901E-099902
67. Frederiksen T., Brandbyge M., Lorente N., and Jauho A.-P. Phys. Rev. Lett. 93 (2004) 256601(1)-256601(4)
68. Tikhodeev S., Natario M., Makoshi K., Mii T., and Ueba H. Surf. Sci. 493 (2001) 63-70
69. Galperin M., Ratner M.A., and Nitzan A. J. Chem. Phys. 121 (2004) 11965-11980
70. Karzazi Y., Cornil J., and Br/'edas J.L. J. Am. Chem. Soc. 123 (2001) 10076-10084
71. Karzazi Y., Cornil J., and Br/'edas J.L. Nanotechnology 14 (2003) 165-171
72. Cornil J., Karzazi Y., and Bredas J.L. J. Am. Chem. Soc.; (Communication) 124 14 (2002) 3516-3517
73. Rashkeev S.N., Di Ventra M., and Pantelides S.T. Phys. Rev. B 66 (2002) 033301
74. Maddox J.B., Harbola U., Mayoral K., and Mukamel S. J. Phys. Chem. C 111 (2007) 9516-9522
75. S.W. Wu, N. Ogawa, W. Ho, 312 (2006) 1362-1365
76. Martin P.C., Siggia E.D., and Rose H.A. Phys. Rev. A 8 (1973) 423-442
77. Wagnmer M. Phys. Rev. B 44 (1991) 6104-6117
78. Fano U. Phys. Rev. 131 (1963) 259-268
79. Zwanzig R. Nonequilibrium Statistical Mechanics (2001), Oxford University Press, New York
80. Reuven A.B. Adv. Chem. Phys. 33 (1975) 235-293
81. Schmutz M. Z. Phys. B 30 (1978) 97
82. Slifkin M.A. Charge Transfer Interactions of Biomolecules (1971), Academic Press, London, New York
83. Lifshitz E.M., and Pitaevskii L.P. Physical Kinetics (1981), Pergamon, Oxford
84. van Eijck M.A., Kobes R., and van Weert C.G. Phys. Rev. D 50 (1994) 4097-4109
85. McLachlan A.D. Proc. R. Soc. London, Ser. A 271 (1963) 387-401 274 (1963) 80-90
86. Stone A.J. The Theory of Intermolecular Forces (1996), Clarendon Press, Oxford
87. Perdew J.P., Parr R.G., Levy M., and Balduz Jr. J.R. Phys. Rev. Lett. 49 (1982) 1691
88. Perdew J.P. In: Dreizler R.M., and da providencia J. (Eds). Density Functional Methods in Physics (1985), Plenum, New York 265
89. Cohen M., and Wasserman A. Isr. J. Chem. 43 (2003) 219
90. Cohen M., and Wasserman A. A. J. Stat. Phys. 125 (2006) 1125
91. Cohen M., and Wasserman A. J. Phys. Chem. A 111 (2007) 2229
92. Parr R., and Yang W. Density Functional Theory of Atoms and Molecules (1989), Oxford University Press, New York
93. Mermin N.D. Phys. Rev. A 137 (1965)
94. Rammer J. Quantum Transport Theory (2004), Westview Press, USA
95. Braggio A., Ko{double acute}nig J., and Fazio R. Phys. Rev. Lett. 96 (2006) 026805
96. Esposito M., Harbola U., and Mukamel S. Phys. Rev. B 75 (2007) 155316
97. Levitov L.S., and Reznikov M. Phys. Rev. B 70 (2004) 115305
98. Rammer J., Shelenkov A.L., and Wabing J. Phys. Rev. B 70 (2004) 115327
99. Begrets D.A., and Nazarov Yu.V. Phys. Rev. B 67 (2003) 085316
100. Fujisawa T., Hayashi T., Tomita R., and Hiriyama Y. Science 312 (2006) 1634
101. Fujisawa T., Hayashi T., Hiriyama Y., and Cheong H.D. Appl. Phys. Lett. 84 (2004) 2343
102. Lu W., Ji Z., Pfeiffer L., West K.W., and Rimberg A.J. Nature 423 (2003) 422
103. Bylander J., Duty T., and Delsing P. Nature 434 (2005) 361
104. Kindermann M., Nazarov Y.V., and Beenakker C.W.J. Phys. Rev. Lett. 90 (2003) 246805
105. M. Esposito, U. Harbola, S. Mukamel, Rev. Modern Phys. 2008 (submitted for publication)
106. Thouless D.J. The Quantum Mechanics of Many-Body Systems (1961), Academic Press, Inc
107. Negele J., and Orland H. Quantum Many Particle Physics (1998), Westview Press, Boulder, Colorado
108. Zinn-Justin J. Path Integrals in Quantum Mechanics (2005), Oxford University Press, New York
109. L. Mühlbacher, Eran Rabani, Real-time path integral approach to nonequilibrium many-body quantum system. Cond-mat/arXiv:0707.0956
110. Harbola U., Esposito M., and Mukamel S. Phys. Rev. B 74 (2006) 235309