Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants

TL;DR

This paper explores the magnetic responses of Majorana Kramers pairs in topological superconductors, revealing a novel biaxial (quadrupolar) anisotropic response linked to crystalline symmetry and Z2 invariants.

Contribution

It introduces a new type of magnetic response for Majorana Kramers pairs, expanding understanding of their anisotropic behaviors under crystalline symmetries.

Findings

Prediction of biaxially (quadrupolar) anisotropic magnetic response.

Identification of magnetic responses linked to Z2 invariants.

Proposal of a novel magnetic response type rarely observed in similar systems.

Abstract

On the surface of time-reversal-invariant topological superconductors, Kramers pairs of Majorana fermions with chiral and crystalline symmetries exhibit completely uniaxial or octupole anisotropic magnetic response. This paper reports possible types of magnetic responses of Majorana Kramers pairs with one-dimensional Z2 invariants defined by crystalline symmetry. In particular, the general theory predicts a new type of magnetic response where two Majorana Kramers pairs associated with the Z2 invariant show biaxially (quadrupolar) anisotropic magnetic response, which is a novel type of response that is rarely observed in conventional and Majorana fermions.