# Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices

## TL;DR

This paper proposes a method to realize Majorana corner modes in cold atom systems using a Hubbard-Hofstadter model with solitons, enabling the study of higher order topological superfluidity with conventional s-wave superfluids.

## Contribution

It introduces a novel approach to generate Majorana corner modes in cold atom lattices with solitons, expanding the possibilities for topological quantum states.

## Key findings

- Majorana corner modes can be realized in cold atom Hubbard-Hofstadter systems.
- Interaction-induced MKPs emerge at intersections of solitons and edges.
- The scheme leverages existing cold atom lattice experiments.

## Abstract

Higher order topological superconductors hosting Majorana-Kramers pairs (MKPs) as corner modes have recently been proposed in a two-dimensional (2D) quantum spin Hall insulator (QSHI) proximity-coupled to unconventional cuprate or iron-based superconductors. Here, we show that such MKPs can be realized using a conventional s-wave superfluid with a soliton in cold atom systems governed by the Hubbard-Hofstadter model. The MKPs emerge in the presence of interaction at the "corners" defined by the intersections of line solitons and the one-dimensional edges of the system. Our scheme is based on the recently realized cold atom Hubbard-Hofstadter lattice and will pave the way for observing Majorana corner modes and possible higher order topological superfluidity with conventional s-wave superfluids/superconductors.