Abstract
The damping γ(ε) of electron states in crystals is investigated beyond the phase transition point related to a rearrangement of the Fermi surface. Attention is focused on the alteration of the standard Landau theory due to the emergence of a flat portion in the spectrum ξ(p) of single-particle excitations as a result of the rearrangement. In the limit ε →0, the width γ(ε) of the states in the region of the Brillouin zone where the dispersion of ξ(p) is of an ordinary order of magnitude is found to depend on ε almost linearly, in contrast to the Fermi-liquid-theory result γ(ε)∼ε2.
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References
V. A. Khodel and V. R. Shaginyan, JETP Lett. 51, 553 (1990); Condens. Matter Theor. 12, 222 (1997).
P. Nozières, J. Phys. France I 2, 443 (1992).
V. A. Khodel, V. R. Shaginyan, and V. V. Khodel, Phys. Rep. 249, 1 (1994).
G. E. Volovik, JETP Lett. 59, 830 (1994).
V. A. Khodel, J. W. Clark, and V. R. Shaginyan, Solid State Commun. 96, 353 (1995).
Z.-X. Shen and D. S. Dessau, Phys. Rep. 253, 1 (1995).
J. C. Campuzano et al., Phys. Rev. Lett. 83, 3709 (1999).
Z.-X. Shen and J. R. Schrieffer, Phys. Rev. Lett. 78, 1771 (1997).
A. Kaminski et al., http://xxx.lanl.gov/abs/cond-mat/9904390.
A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics, Prentice-Hall, Englewood Cliffs, N.J. (1963).
C. M. Varma, P. B. Littlewood, S. Scmitt-Rink et al., Phys. Rev. Lett. 63, 1996 (1989).
V. A. Khodel and M. V. Zverev, http://xxx.lanl.gov/abs/cond-mat/9907061.
A. M. Dyugaev, Zh. Éksp. Teor. Fiz. 70, 2390 (1976) [Sov. Phys. JETP 43, 1247 (1976)]; A. J. Millis, Phys. Rev. B 45, 13047 (1992).
P. W. Anderson, Phys. Rev. Lett. 64, 1839 (1990).
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Pis’ma Zh. Éksp. Teor. Fiz. 70, No. 11, 759–765 (10 December 1999)
Published in English in the original Russian journal. Edited by Steve Torstveit.
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Khodel, V.A., Zverev, M.V. The widths of single-particle states of anisotropic, strongly correlated electron systems in solids. Jetp Lett. 70, 772–779 (1999). https://doi.org/10.1134/1.568261
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DOI: https://doi.org/10.1134/1.568261