Triangular lattice Majorana-Hubbard model: Mean field theory and DMRG on a width-4 torus
arXiv:2008.09963 · doi:10.1103/PhysRevB.103.115128
Abstract
Majorana modes can arise as zero energy bound states in a variety of solid state systems. A two-dimensional phase supporting these quasiparticles, for instance, emerges on the surface of a topological superconductor with the zero modes localized at the cores of vortices. At low energies, such a setup can be modeled by Majorana modes that interact with each other on the Abrikosov lattice. In experiments, the lattice is usually triangular. Motivated by the practical relevance, we explore the phase diagram of this Hubbard-like Majorana model using a combination of mean field theory and numerical simulation of thin torus geometries through the density matrix renormalization group algorithm. Our analysis indicates that attractive interactions between Majoranas can drive a phase transition in an otherwise gapped topological state.
arXiv comment8 pages, 9 figures
References in corpus (40)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- The density-matrix renormalization group in the age of matrix product states
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Entanglement entropy and conformal field theory
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Evidence for Majorana bound state in an iron-based superconductor
- Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
- Quantized Majorana conductance
- Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
- Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
- Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
- Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
- Phase Diagram of the Interacting Majorana Chain Model
- Majorana Fermion Surface Code for Universal Quantum Computation
- Tunneling of anyonic Majorana excitations in topological superconductors
- Majorana Fermion Codes
- Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model
- Scalable Majorana vortex modes in iron-based superconductors
- All Majorana Models with Translation Symmetry are Supersymmetric
- Strongly interacting Majorana fermions
- Electronic transport in an array of quasi-particles in the nu=5/2 non-abelian quantum Hall state
- Disorder-induced Majorana metal in interacting non-Abelian anyon systems
- Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
- Electronic structure of topological superconductors in the presence of a vortex lattice
- Perturbed vortex lattices and the stability of nucleated topological phases
- Interacting Majorana Fermions
- Majorana-Hubbard model on the square lattice
- Supersymmetry Breaking and Nambu-Goldstone Fermions in Interacting Majorana Chains
- Majorana fermions on a disordered triangular lattice
- Majorana-Hubbard model on the honeycomb lattice
- Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
- Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
- Supersymmetry in an interacting Majorana model on the kagome lattice
- Majorana stripe order on the surface of a three-dimensional topological insulator