Altermagnetic and Noncentrosymmetric Metals

TL;DR

This paper develops a theoretical framework for altermagnetic and noncentrosymmetric metals, analyzing their normal and superconducting states, with a focus on the anomalous Hall effect and electron pairing mechanisms.

Contribution

It introduces a comparative theory for altermagnetic and noncentrosymmetric metals, highlighting the absence of the anomalous Hall effect and the challenges for superconductivity in altermagnets.

Findings

No anomalous Hall effect in altermagnetic and non-centrosymmetric metals.

Superconductivity in altermagnets involves pairing electrons from spin-orbit split zones.

Superconducting states in altermagnets are unlikely due to electron pairing constraints.

Abstract

A theory of the normal and superconducting states of piezomagnetic metals, which are altermagnetic materials, has been developed. This has been done in comparison with the corresponding theoretical description for metals that do not have spatial inversion symmetry. Particular attention has been paid to the problem of the anomalous Hall effect, and its absence has been demonstrated in both altermagnetic and non-centrosymmetric metals. It has been shown that the superconducting state in altermagnets always arises by pairing electrons from zones split by spin-orbit interaction, which makes the existence of such superconductors unlikely.