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.

arXiv comment17 pages, 12 figures

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• Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
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• Hierarchical Majoranas in a Programmable Nanowire Network
• Probing Majorana zero modes by measuring transport through an interacting magnetic impurity
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Majorana bound states in vortex lattices on iron-based superconductors
• Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on site-diluted bipartite lattices
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Majorana stripe order on the surface of a three-dimensional topological insulator
• Searching for Majorana quasiparticles at vortex cores in iron-based superconductors
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Supersymmetry in an interacting Majorana model on the kagome lattice
• Transport properties of an interacting Majorana chain
• Specific heat of 2D interacting Majorana fermions from holography
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Exactly solvable Majorana-Anderson impurity models
• Triangular lattice Majorana-Hubbard model: Mean field theory and DMRG on a width-4 torus
• Symmetry-Enforced Fermi Surfaces
• Fibonacci topological phase in arrays of anyonic chains
• Interacting Majorana fermions in strained nodal superconductors
• Theory of collective topologically-protected Majorana fermion excitations of networks of localized Majorana modes