Phase diagrams of Majorana-Hubbard ladders

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.

arXiv comment16 pages, 15 figures

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Cited by in corpus (10)

• Interacting Majorana Fermions
• Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
• $\text{Draiding}$ majoranas to dynamically engineer Hamiltonians
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Majorana bound states in vortex lattices on iron-based superconductors
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Exactly solvable Majorana-Anderson impurity models
• Interacting Majorana fermions in strained nodal superconductors