Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
arXiv:2402.12897 · doi:10.1140/epjb/s10051-024-00690-8
Abstract
We document the ground state phase diagram of the one-dimensional Kitaev chain with quasi-periodic disorder in the presence of two-body interactions. Our data was obtained for systems of sites using large-scale density matrix renormalization group numerics and is benchmarked against known results for the clean system. We demonstrate that moderate quasi-periodic disorder stabilizes the topological phase both for repulsive and attractive interactions. For larger disorder strengths, the system features re-entrance behavior and multiple phase transitions.
References in corpus (62)
- Quantum entanglement
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- The density-matrix renormalization group in the age of matrix product states
- Quantum Computing
- The density-matrix renormalization group
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
- Quantized Majorana conductance
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Parafermionic edge zero modes in Z_n-invariant spin chains
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Majorana edge states in interacting one-dimensional systems
- Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
- Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
- Probability distribution of Majorana end-state energies in disordered wires
- Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
- Obtaining highly-excited eigenstates of many-body localized Hamiltonians by the density matrix renormalization group
- Exact ground states and topological order in interacting Kitaev/Majorana chains
- Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
- Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
- Interplay of disorder and interaction in Majorana quantum wires
- Majorana Fermions in Strongly Interacting Helical Liquids
- Phase Diagram of the Interacting Majorana Chain Model
- Quantum criticality of quasi one-dimensional topological Anderson insulators
- Majorana Edge States in Interacting Two-chain Ladders of Fermions
- Strongly interacting Majorana modes in an array of Josephson junctions
- Interacting topological phases in multiband nanowires
- Tunneling spectra simulation of interacting Majorana wires
- Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
- Exact Solution to Interacting Kitaev Chain at Symmetric Point
- Majorana fermions in density modulated p-wave superconducting wires
- Statistical translation invariance protects a topological insulator from interactions
- Critical phase dualities in 1D exactly-solvable quasiperiodic models
- Signatures of topological phase transitions in mesoscopic superconducting rings
- Evidence for a floating phase of the transverse ANNNI model at high frustration
- Density Matrix Renormalization Group Study of the Disorder Line in the Quantum ANNNI Model
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
- Many-body Majorana operators and the equivalence of parity sectors
- Reentrant topological transitions in a quantum wire/superconductor system with quasiperiodic lattice modulation
- Multi-particle content of Majorana zero-modes in the interacting p-wave wire
- Multiple signatures of topological transitions for interacting fermions in chain lattices
- Two leg quantum Ising ladder: A bosonization study of the ANNNI model
- Coulomb interaction effects on the Majorana states in quantum wires
- Localization-enhanced and degraded topological-order in interacting p-wave wires
- Study of the phase diagram of the Kitaev-Hubbard chain
- Nonperturbative phase diagram of interacting disordered Majorana nanowires
- Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
- Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
- Disorder and interaction in chiral chains: Majoranas vs complex fermions
- Orbital multicriticality in spin gapped quasi-1D antiferromagnets
- Topological and quantum critical properties of the interacting Majorana chain model
- Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain
- Quasidisorder Induced Topology
- Dynamic generation of nonequilibrium superconducting states in Kitaev chain
- Topological phase in Kitaev chain with spatially separated pairing processes
- Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
- Quantitative analysis of interaction effects in generalized Aubry-Andŕe-Harper models
- Topological phases in the presence of disorder and longer-range couplings