Majorana-Hubbard model on the square lattice

2017/06/30 by Ian Affleck, Armin Rahmani, Dmitry I. Pikulin +1 · 37 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Gapless playback #Geometry #Hubbard model #Ising model #Lattice (music) #MAJORANA #Mathematics #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Square (algebra) #Square lattice #Superconductivity #Topological Materials and Phenomena #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.96.125121

published in Physical review. B./Physical review. B 96(12) (American Physical Society) · 17 pages, 12 figures

openalex publication_date 2017/09/13 · arxiv created 2017/12/12 · arxiv updated 2017/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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 an emergent superfluid phase with spontaneous breaking of an emergent U(1) symmetry, separated by a supersymmetric transition from a gapless normal phase.

Citations

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Absence of neutrinos on a lattice
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Helical Liquids and Majorana Bound States in Quantum Wires
• Search for Majorana Fermions in Superconductors
• Emergence of supersymmetry at a critical point of a lattice model
• Non-Abelian anyons and topological quantum computation
• Unpaired Majorana fermions in quantum wires

Cited by

• Interacting Majorana chain: Transport properties and signatures of an emergent two-dimensional weak topological phase