Long-wavelength correlations and transport in a marginal Fermi liquid

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 4, 2009, Pages

  Shekhter, A ^a   Varma, C M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

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EID: 60349130185     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.045117     Document Type: Article

References (26)

1. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 2, Course of Theoretical Physics Vol. 9, edited by, E. M. Lifshitz, and, L. P. Pitaevskii,, (Pergamon, Oxford, 1980).
2. G. M. Eliashberg, Sov. Phys. JETP 41, 1241 (1961)
3. G. M. Eliashberg, Sov. Phys. JETP 42, 1658 (1962).
4. C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. E. Ruckenstein, Phys. Rev. Lett. 63, 1996 (1989). 10.1103/PhysRevLett.63.1996
5. C. M. Varma and E. Abrahams, Phys. Rev. Lett. 86, 4652 (2001) 10.1103/PhysRevLett.86.4652
6. E. Abrahams and C. M. Varma, Phys. Rev. B 68, 094502 (2003). 10.1103/PhysRevB.68.094502
7. A. Kaminski, S. Rosenkranz, H. Fretwell, J. C. Campuzano, Z. Li, H. Raffy, W. G. Cullen, H. You, C. G. Olson, and H. Hoechst, Nature (London) 416, 610 (2002) 10.1038/416610a
8. A. Kaminski, H. Fretwell, M. R. Norman, N. Randeria, S. Rosenkranz, U. Chatterjee, J. C. Campuzano, J. Mesot, T. Sato, T. Takahashi, T. Terashima, M. Takano, K. Kadowaki, Z. Z. Li, and H. Raffy, Phys. Rev. B 71, 014517 (2005). 10.1103/PhysRevB.71.014517
9. T. Valla, T. E. Kidd, W. G. Yin, G. D. Gu, P. D. Johnson, Z. H. Pan, and A. V. Fedorov, Phys. Rev. Lett. 98, 167003 (2007). 10.1103/PhysRevLett.98.167003
10. L. Zhu, V. Aji, A. Shekhter, and C. M. Varma, Phys. Rev. Lett. 100, 057001 (2008). 10.1103/PhysRevLett.100.057001
11. F. Slakey, M. V. Klein, J. P. Rice, and D. M. Ginsberg, Phys. Rev. B 43, 3764 (1991) 10.1103/PhysRevB.43.3764
12. E. Abrahams, J. Phys. I 6, 2191 (1996). 10.1051/jp1:1996204
13. G. Kotliar, E. Abrahams, A. E. Ruckenstein, C. M. Varma, P. B. Littlewood, and S. Schmitt-Rink, Europhys. Lett. 15, 655 (1991). 10.1209/0295-5075/15/6/016
14. C. M. Varma, Z. Nussinov, and W. van Saarloos, Phys. Rep. 267, 36 (2002).
15. V. Aji and C. M. Varma, Phys. Rev. Lett. 99, 067003 (2007). 10.1103/PhysRevLett.99.067003
16. C. M. Varma, Phys. Rev. B 55, 14554 (1997). 10.1103/PhysRevB.55.14554
17. B. Fauqué, Y. Sidis, V. Hinkov, S. Pailhès, C. T. Lin, X. Chaud, and P. Bourges, Phys. Rev. Lett. 96, 197001 (2006) 10.1103/PhysRevLett. 96.197001
18. H. Mook, in Bulletin of American Physical Society March Meeting, 2008
19. Y. Li, V. Balédent, N. Baril, Y. Cho, B. Fauqué, Y. Sidis, G. Yu, X. Zhao, P. Bourges, and M. Greven, Nature (London) 455, 372 (2008) 10.1038/nature07251
20. V. Aji, A. Shekhter, and C. M. Varma, arXiv:0807.3741 (unpublished).
21. In this paper we assume γ to be constant on the Fermi surface. Recently the form of the coupling constant has been found (see Ref.). The angular dependence of the coupling constant has the form γ (k k′) ik× k′. In the particle-hole channel its angular decomposition contains only even harmonics. For instance, using the above form in the singular vertex, Eq. 7, we obtain (ik× k′) 2 1-cos (2θ-2 θ′). Only the zero harmonic is important in the analysis of density correlation function.
22. A. J. Leggett, Phys. Rev. 140, A1869 (1965). 10.1103/PhysRev.140.A1869
23. G. Baym, Phys. Rev. 127, 1391 (1962). 10.1103/PhysRev.127.1391
24. There is another branch cut at Im ε1 +Im ε2 =0 which follows from the absorptive part in the Cooper channel. This other channel will not be considered here.
25. A. M. Finkel'stein, in Electron Liquid in Disordered Conductors, Soviet Scientific Reviews Vol. 14, edited by, I. M. Khalatnikov,, (Harwood Academic, London, 1990).
26. This notation is motivated by apparent similarity with diffusive system where d (ω) = vf2 τ/2=D because S0 -iτ when ω,q vF τ-1. The similarity does not go beyond notation: in marginal Fermi liquid the motion of quasiparticles is not diffusive because Eq. 29 is valid only at ultrasmall momenta q vF ω.