Mean-field description of odd-frequency superconductivity with staggered ordering vector

Shintaro Hoshino
Phys. Rev. B 90, 115154 – Published 29 September 2014

Abstract

A low-energy fixed-point Hamiltonian is constructed for the s-wave odd-frequency pairing state with staggered ordering vector in the two-channel Kondo lattice. The effective model is justified because it reproduces low-energy behaviors of self-energy obtained by the dynamical mean-field theory. The retardation effect is essential for the odd-frequency pairing, which comes from the hybridization process between conduction electrons and pseudofermions originating from localized spins at low energies. Using the effective Hamiltonian, the electromagnetic response functions are microscopically calculated. The present system shows a “weak” Meissner effect, where both paramagnetic and diamagnetic parts contribute to the Meissner kernel to give a small total diamagnetic response in the superconducting state. This feature is in contrast to the ordinary s-wave BCS pairing where only the diamagnetic kernel is finite in the ground state. The staggered nature of the odd-frequency order parameter plays an important role for the sign of the Meissner kernel.

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  • Received 8 June 2014

DOI:https://doi.org/10.1103/PhysRevB.90.115154

©2014 American Physical Society

Authors & Affiliations

Shintaro Hoshino

  • Department of Basic Science, The University of Tokyo, Meguro, Tokyo 153-8902, Japan

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Issue

Vol. 90, Iss. 11 — 15 September 2014

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