Majorana-Hubbard model on the square lattice

Abstract

We study a tight-binding model of interacting Majorana (Hermitian) modes on a square lattice. The model may have an experimental realization in a superconducting-film--topological-insulator heterostructure in a magnetic field. We find a rich phase diagram, as a function of interaction strength, including a superfluid phase with spontaneous breaking of an emergent $U(1)$ symmetry, separated by a supersymmetric transition from a gapless normal phase.

17 pages, 12 figures

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Cited by in corpus (5)

• Majorana bound states in vortex lattices on iron-based superconductors
• Searching for Majorana quasiparticles at vortex cores in iron-based superconductors
• Transport properties of an interacting Majorana chain
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Symmetry-Enforced Fermi Surfaces