Symmetry-Protected Topological Phases in the Triangular Majorana-Hubbard Ladder

TL;DR

This paper explores the phase diagram of a Majorana-Hubbard ladder, revealing multiple symmetry-protected topological phases using advanced numerical methods, with potential realization in topological superconductor vortex arrays.

Contribution

It maps the phase diagram of the triangular-lattice Majorana-Hubbard model on a four-leg ladder, identifying new SPT phases with detailed analysis.

Findings

Revealed a richer variety of phases than previously known.

Identified multiple symmetry-protected topological phases.

Potential realization in vortex-bound Majorana modes on topological superconductors.

Abstract

We map the phase diagram of the triangular-lattice Majorana-Hubbard model on a four-leg ladder using DMRG and variational uniform matrix product states, revealing a richer variety of phases than previously known. Analysis of entanglement-spectrum degeneracies and adiabatic connections identifies multiple symmetry-protected topological (SPT) phases. These phases could be realized in arrays of vortex-bound Majorana modes on the surface of a topological superconductor.