Theory of Nonlinear Meissner Effect in High-Tc Superconductors

TL;DR

This paper provides a microscopic theory of the nonlinear Meissner effect in high-Tc superconductors, incorporating interaction effects and using the Hubbard model to explain temperature and angle dependencies.

Contribution

It introduces a renormalized scattering amplitude considering interaction effects, solving key issues in the nonlinear Meissner effect analysis.

Findings

Quantitative agreement with experimental data

Temperature and angle dependence explained

Nonlocal effects ensure convergence of perturbation expansion

Abstract

We investigate the nonlinear Meissner effect microscopically. Previous studies did not consider a certain type of interaction effect on the nonlinear phenomena. The scattering amplitude barely appears without being renormalized into the Fermi-liquid parameter. With this effect we can solve the outstanding issues (the quantitative problem, the temperature and angle dependences). The quantitative calculation is performed with use of the fluctuation-exchange approximation on the Hubbard model. It is also shown that the perturbation expansion on the supercurrent by the vector potential converges owing to the nonlocal effect.