Low Temperature Physics: 38, 874 (2012); https://doi.org/10.1063/1.4752091 (6 pages)
Физика Низких Температур: Том 38, Выпуск 9 (Сентябрь 2012), c. 1102-1108    ( к оглавлению , назад )

Kohn-Luttinger effect and anomalous pairing in repulsive Fermi-systems at low density (Review Article)

M.Yu. Kagan1, D.V. Efremov2, M.S. Mar’enko3, and V.V. Val’kov4

1Kapitza Institute for Physical Problems, Kosygin Str. 2, Moscow 19334, Russia
E-mail: kagan@kapitza.ras.ru

2Max -Planck-Institut für Festkörperforschung, Stuttgart D-70569, Germany

3Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549, USA

4Kirenskii Institute of Physics, Krasnoyarsk 660036, Russia

Received April 11, 2012


In the large variety of models such as 3D and 2D Fermi-gas model with hard-core repulsion, 3D and 2D Hubbard model, and Shubin–Vonsovsky model we demonstrate the possibility of triplet p-wave pairing at low electron density. We show that the critical temperature of the p-wave pairing can be strongly increased in a spinpolarized case or in a two-band situation already at low density and reach experimentally observable values of (1–5) K. We also discuss briefly d-wave pairing and high-Tc superconductivity with Tc ~ 100 K which arises in the extended Hubbard model and in the generalized t-J model close to half-filling.

PACS: 71.27.+а Strongly correlated electron systems; heavy fermions;
PACS: 71.10.–w Theories and models of many-electron systems.

Key words: Fermi-gas model, superconductivity, 3D and 2D Hubbard model.