Coupled wire model of symmetric Majorana surfaces of topological superconductors

TL;DR

This paper constructs coupled wire models to simulate the surface Majorana fermions of 3D topological superconductors, demonstrating how many-body interactions can induce topological order and anyonic excitations while preserving time reversal symmetry.

Contribution

It introduces explicit many-body interwire interactions in coupled wire models that gap out surface Majorana modes without breaking symmetry, revealing new topological phases.

Findings

Gapped models support non-trivial topological order

Models host anyonic excitations

Time reversal symmetry is preserved in the gapped phases

Abstract

Time reversal symmetric topological superconductors in three spatial dimensions carry gapless surface Majorana fermions. They are robust against any time reversal symmetric single-body perturbation weaker than the bulk energy gap. We mimic the massless surface Majorana's by coupled wire models in two spatial dimensions. We introduce explicit many-body interwire interactions that preserve time reversal symmetry and give energy gaps to all low energy degrees of freedom. We show the gapped models generically carry non-trivial topological order and support anyonic excitations.