Magnetically mediated superconductivity: Crossover from cubic to tetragonal lattice

TL;DR

This paper investigates how magnetic fluctuations influence superconductivity in metals with cubic and tetragonal lattices, revealing increased pairing robustness with lattice anisotropy.

Contribution

It provides a comparative mean-field analysis of superconductivity in cubic versus tetragonal lattices considering magnetic fluctuation-mediated pairing.

Findings

Superconductivity robustness increases with lattice anisotropy.

Magnetic pairing is more stable in tetragonal structures.

Results apply to both antiferromagnetic and ferromagnetic regimes.

Abstract

We compare predictions of the mean-field theory of superconductivity for nearly antiferromagnetic and nearly ferromagnetic metals for cubic and tetragonal lattices. The calculations are based on the parametrization of an effective interaction arising from the exchange of magnetic fluctuations and assume that a single band is relevant for superconductivity. The results show that for comparable model parameters, the robustness of magnetic pairing increases gradually as one goes from a cubic structure to a more and more anisotropic tetragonal structure either on the border of antiferromagnetism or ferromagnetism.