Phase diagrams of Majorana-Hubbard ladders

TL;DR

This paper explores the phase diagrams of Majorana-Hubbard ladder models, combining field theory and DMRG techniques to understand their behavior in strongly interacting regimes relevant to topological quantum systems.

Contribution

It extends previous studies by analyzing two- and four-leg ladder models of interacting Majorana modes using both analytical and numerical methods.

Findings

Identified various phases in Majorana-Hubbard ladders

Mapped phase diagrams for two- and four-leg configurations

Demonstrated the effectiveness of combined field theory and DMRG approaches

Abstract

Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong-interaction regime by adjusting the chemical potential. Extending the results on one- and two-dimensional Majorana-Hubbard models, here we determine the phase diagrams of two- and four-leg ladders using both field theory and the density-matrix renormalization group (DMRG) methods.