Initial stage of quasiparticle decay in fermionic systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 12, 2013, Pages

  Pavlyukh, Y ^a   Berakdar, J ^a   Rubio, A ^b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84874830357     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.125101     Document Type: Article

References (42)

1. R. Cerbino, L. Peverini, M. A. C. Potenza, A. Robert, P. Bösecke, and M. Giglio, Nat. Phys. 1745-2473 10.1038/nphys837 4, 238 (2008).
2. I. A. Walmsley, Science SCIEAS 0036-8075 10.1126/science.1152495 319, 1211 (2008). (Pubitemid 351322989)
3. F. Krausz and M. Ivanov, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.163 81, 163 (2009).
4. A. Cavalieri, Nature (London) NATUAS 0028-0836 10.1038/nature06229 429, 1029 (2007). (Pubitemid 350014600)
5. M. Schultze, M. Fieß, N. Karpowicz, J. Gagnon, M. Korbman, M. Hofstetter, S. Neppl, A. L. Cavalieri, Y. Komninos, T. Mercouris, C. A. Nicolaides, R. Pazourek, S. Nagele, J. Feist, J. Burgdörfer, A. M. Azzeer, R. Ernstorfer, R. Kienberger, U. Kleineberg, E. Goulielmakis, F. Krausz, and V. S. Yakovlev, Science SCIEAS 0036-8075 10.1126/science.1189401 328, 1658 (2010).
6. Collected Papers of L. D. Landau, edited by D. ter Haar (Gordon and Breach Science Publishers, New York, 1965), Chaps. 90 and 91.
7. P. Nozières and D. Pines, The Theory of Quantum Liquids (Westview Press, Boulder, CO, 1999), p. 309.
8. M. Vogt, R. Zimmermann, and R. J. Needs, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.045113 69, 045113 (2004).
9. M. Bonitz, D. Semkat, and H. Haug, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050770 9, 309 (1999).
10. H. Haug and L. Bányai, Sol. State. Commun. SSCOA4 0038-1098 10.1016/0038-1098(96)00504-2 100, 303 (1996). (Pubitemid 126366491)
11. B. Gumhalter, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.165406 72, 165406 (2005). (Pubitemid 43022050)
12. Y. Pavlyukh, A. Rubio, and J. Berakdar, arXiv: 1212.3486.
13. K. S. Thygesen and A. Rubio, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.115333 77, 115333 (2008).
14. K. Balzer, M. Bonitz, R. van Leeuwen, A. Stan, and N. E. Dahlen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.245306 79, 245306 (2009).
15. M. Puig von Friesen, C. Verdozzi, and C.-O. Almbladh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.176404 103, 176404 (2009).
16. A typical approach to establish the positivity of a Fourier transform is to use the convexity of the function. Obviously, in our case the function is not convex everywhere, but this can be circumvented by shifting the contour of integration to the region where this condition is fulfilled.
17. E. O. Tuck, Bull. Austr. Math. Soc. ALNBAB 0004-9727 10.1017/ S0004972700047511 42, 133 (2006).
18. B. L. Altshuler, Y. Gefen, A. Kamenev, and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2803 78, 2803 (1997).
19. J. Schirmer, L. S. Cederbaum, and O. Walter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.1237 28, 1237 (1983).
20. M. Altarelli, D. L. Dexter, H. M. Nussenzveig, and D. Y. Smith, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.6.4502 6, 4502 (1972).
21. J. Winter, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(72)91000-7 194, 535 (1972).
22. C. Barbieri, D. Van Neck, and W. H. Dickhoff, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.052503 76, 052503 (2007). (Pubitemid 350085078)
23. Y. Pavlyukh and W. Hübner, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2002-00177-0 21, 239 (2002). (Pubitemid 36185314)
24. Y. Pavlyukh and W. Hübner, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.05.025 327, 241 (2004).
25. G. Pal, Y. Pavlyukh, H. C. Schneider, and W. Hübner, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00253-9 70, 483 (2009).
26. Y. Pavlyukh and W. Hübner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.205129 75, 205129 (2007).
27. Y. Pavlyukh, J. Berakdar, and W. Hübner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.116103 100, 116103 (2008). (Pubitemid 351457200)
28. J. Olsen, B. Roos, P. Jorgensen, and H. Jensen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.455063 89, 2185 (1988).
29. P. Knowles and N. Handy, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(84)85513-X 111, 315 (1984).
30. R. Pauncz, Spin Eigenfunctions (Plenum, New York, 1979).
31. G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.601 74, 601 (2002).
32. C.-O. Almbladh, U. von Barth, and R. van Leeuwen, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979299000436 13, 535 (1999).
33. L. Hedin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.139.A796 139, A796 (1965).
34. D. H. Kobe, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(62)90184-7 19, 448 (1962).
35. A. Barth and L. S. Cederbaum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.1038 23, 1038 (1981).
36. Y. Pavlyukh and J. Berakdar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3665089 135, 201103 (2011).
37. M. Guzzo, G. Lani, F. Sottile, P. Romaniello, M. Gatti, J. J. Kas, J. J. Rehr, M. G. Silly, F. Sirotti, and L. Reining, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.166401 107, 166401 (2011).
38. P. Lipavský, V. Špička, and B. Velický, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.34.6933 34, 6933 (1986).
39. T. Kita, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.123.581 123, 581 (2010).
40. F. Aryasetiawan, L. Hedin, and K. Karlsson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2268 77, 2268 (1996).
41. M. H. Cohen and A. Wasserman, Isr. J. Chem. ISJCAT 0021-2148 10.1560/3R9J-FHB5-51UV-C4BJ 43, 219 (2003). (Pubitemid 38788253)
42. L. Hedin and S. Lundqvist, in Solid State Physics, Vol. 23, edited by, D. T. Frederick Seitz, and, H. Ehrenreich, (Academic Press, New York, 1970), pp. 1-181.