Abstract
A topological crossover, associated with the collapse of the Fermi surface in strongly correlated Fermi systems, is examined. It is demonstrated that in these systems, the temperature domain where standard Ferrai liquid results hold dramatically narrows, because the Landau regime is replaced by a classical one. The impact of the collapse of the Fermi surface on pairing correlations is analyzed. In the domain of the Lifshitz phase diagram where the Fermi surface collapses, splitting of the BCS superconducting phase transition into two different ones of the same symmetry is shown to occur.
Similar content being viewed by others
References
I. M. Lifshitz, Sov. Phys. JETP 11, 1130 (1960.
N. Doiron-Leyrand et al., Nature 447, 545 (2007).
D. LeBoeuf et al., Nature 450, 533 (2007).
V. A. Khodel, J. W. Clark, and M. V. Zverev, Phys. Rev. B 78, 075120 (2008).
M. R. Norman, J. Lin, and A. J. Millis, Phys. Rev. B 81, 180513 (2010).
G. E. Volovik, JETP Lett. 93, 66 (2011).
N. B. Kopnin, T. T. Heikkilä, and G. E. Volovik, Phys. Rev. B 83, 220503(R) (2011).
N. B. Kopnin, T. T. Heikkilä, and G. E. Volovik, JETP Lett. 94, 233 (2011).
N. B. Kopnin, Pis’ma Zh. Eksp. Teor. Fiz. 94, 81 (2011); arXiv:1105.1883.
D. LeBoeuf et al., Phys. Rev. B 83, 054506 (2011).
V. R. Shaginyan, A. Z. Mzezane, and K. G. Popov, Phys. Rev. B 84, 060401(R) (2011).
S. S. Pankratov, M. V. Zverev, and M. Baldo, JETP Lett. 93, 591 (2011).
V. A. Khodel, J. W. Clark, and M. V. Zverev, JETP Lett. 94, 73 (2011).
A. P. Schnyder and S. Ryu, Phys. Rev. B 84, 060504 (2011).
P. M. R. Brydon, A. P. Schnyder, and C. Timm, Phys. Rev. B 84, 020501 (2011).
J. W. Clark, V. A. Khodel, and M. V. Zverev, Phys. Rev. B 71, 012401 (2005).
V. A. Khodel, M. V. Zverev, and V. M. Yakovenko, Phys. Rev. Lett. 95, 236402 (2005).
G. E. Volovik, Springer Lecture Notes in Physics 718, 31 (2007); arXiv:0601372.
V. A. Khodel and V. R. Shaginyan, JETP Lett. 51, 553 (1990).
G. E. Volovik, JETP Lett. 53, 222 (1991).
P. Nozières, J. Phys. I France 2, 443 (1992).
M. V. Zverev and M. Baldo, J. Exp. Theor. Phys. 87, 1129 (1998); J. Phys.: Condens. Matter 11, 2059 (1999).
S. A. Artamonov, V. R. Shaginyan, and Yu. G. Pogorelov, JETP Lett. 68, 942 (1998).
V. R. Shaginyan et al., Phys. Rep. 492, 31 (2010).
H. v. Löhneysen et al., Rev. Mod. Phys. 79, 1015 (2007).
P. Gegenwart, Q. Si, and F. Steglich, Nature Phys. 4, 186 (2008).
E. Krotscheck and J. Springer, J. Low Temp. Phys. 132, 281 (2003).
D. Pines and P. Nozières, Theory of Quantum Liquids (W. A. Benjamin, New York, Amsterdam, 1966), Vol. 1.
A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Wiley, New York, 1967).
C. Klingner et al., Phys. Rev. B 83, 144405 (2011).
D. M. Eagles, Phys. Rev. 186, 456 (1969).
A. J. Leggett, in Modern Trends in the Theory of Condensed Matter, Ed. by A. Pekalski and J. Przystawa (Spriger, Berlin, 1980).
P. Nozières and S. Schmitt-Rink, J. Low Temp. Phys. 59, 980 (1985).
M. Schmidt, G. Röpke, and H. Schulz, Ann. Phys. (N.Y.) 202, 57 (1990).
M. Baldo, U. Lombardo, and P. Schuck, Phys. Rev. C 52, 975 (1995).
A. S. Alexandrov and N. Mott, Polarons and Bipolarons (World Scientific, Singapore, 1996).
A. S. Alexandrov, Phys. Rev. Lett. 96, 147003 (2006); J. Phys. Condens. Matter 22, 426004 (2010).
R.-H. He et al., Science 331, 1579 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Khodel, V.A. Low-temperature collapse of the Fermi surface and phase transitions in correlated Fermi systems. Jetp Lett. 94, 653–659 (2011). https://doi.org/10.1134/S0021364011200069
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364011200069