# Topological Phase Transition in Superconductors with Mirror Symmetry

## TL;DR

This paper investigates a novel topological phase transition in a 2D mirror-symmetric Kitaev superconductor model, revealing an unconventional 'intrinsic' phase with a continuum of Cooper pair condensates at the phase boundary.

## Contribution

It introduces an analytical and numerical study of a new topological phase in a mirror-symmetric Kitaev model, highlighting a unique Cooper pair condensation mechanism distinct from known superconducting states.

## Key findings

- Identification of an 'intrinsic' phase at the boundary of topological superconductors.
- Discovery of a continuum of Cooper pairs condensing along two lines in the Brillouin zone.
- Evidence of a phase transition driven by mirror symmetry and topological considerations.

## Abstract

We provide analytical and numerical evidence that the attractive two-dimensional Kitaev model on a lattice with mirror symmetry demonstrates unusual 'intrinsic' phase at half filling. This phase emerges in the phase diagram at the boundary separating two topological superconductors with opposite Chern numbers and exists due to condensation of non-zero momentum Cooper pairs. Unlike Fulde-Ferrell-Larkin-Ovchinnikov superconductivity, the Cooper pairs momenta are lying along two lines in the Brillouin zone meaning simultaneous condensation of a continuum of Cooper pairs.