Kohn-Luttinger instability of the tt Hubbard model in two dimensions: Variational approach

J. Mráz and R. Hlubina
Phys. Rev. B 67, 174518 – Published 22 May 2003
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Abstract

An effective Hamiltonian for the Kohn-Luttinger superconductor is constructed and solved in the BCS approximation. The method is applied to the tt Hubbard model in two dimensions with the following results: (i) The superconducting phase diagram at half filling is shown to provide a weak-coupling analog of the recently proposed spin liquid state in the J1J2 Heisenberg model. (ii) In the parameter region relevant for the cuprates, we have found a nontrivial energy dependence of the gap function in the dominant d-wave pairing sector. The hot spot effect in the angular dependence of the superconducting gap is shown to be quite weak.

  • Received 6 December 2002

DOI:https://doi.org/10.1103/PhysRevB.67.174518

©2003 American Physical Society

Authors & Affiliations

J. Mráz and R. Hlubina

  • Department of Solid State Physics, Comenius University, Mlynská Dolina F2, 842 48 Bratislava, Slovakia

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Vol. 67, Iss. 17 — 1 May 2003

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