The Kohn-Luttinger mechanism and phase diagram of the superconducting state in the Shubin-Vonsovsky model
Using the Shubin-Vonsovsky model in the weak-coupling regime W > U > V (W is the bandwidth, U is the Hubbard onsite repulsion, and V is the Coulomb interaction at neighboring sites) based on the Kohn-Luttinger mechanism, we determined the regions of the existence of the superconducting phases with the d{sub xy}, p, s, and <##> $$ d{sub {x^2 - y^2 }} $$d{sub x{sup 2}−y{sup 2}} symmetry types of the order parameter. It is shown that the effective interaction in the Cooper channel considerably depends not only on single-site but also on intersite Coulomb correlations. This is demonstrated by the example of the qualitative change and complication of the phase diagram of the superconducting state. The superconducting (SC) phase induction mechanism is determined taking into account polarization contributions in the second-order perturbation theory in the Coulomb interaction. The results obtained for the angular dependence of the superconducting gap in different channels are compared with angule-resolved photoemission spectroscopy (ARPES) results. The influence of long-range hops in the phase diagram and critical superconducting transition temperature in different channels is analyzed. The conditions for the appearance of the Kohn-Luttinger superconductivity with the <##> $$ d{sub {x^2 - y^2 }} $$d{sub x{sup 2}−y{sup 2}} symmetry and high critical temperatures T{sub c} ∼ 100 K near the half-filling are determined.
- OSTI ID:
- 22210398
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 117, Issue 4; Other Information: Copyright (c) 2013 Pleiades Publishing, Inc.; http://www.springer-ny.com; This record replaces 45031324; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
Similar Records
A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics
Neutrino self-energy operator in plasmas at ultrahigh energies