Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
arXiv:1806.01925 · doi:10.1103/PhysRevLett.122.027201
Abstract
We show that the coupling of homogeneous Heisenberg spin-1/2 ladders in different phases leads to the formation of interfacial zero energy Majorana bound states. Unlike Majorana bound states at the interfaces of topological quantum wires, these states are void of topological protection and generally susceptible to local perturbations of the host spin system. However, a key message of our work is that in practice they show a high degree of resilience over wide parameter ranges which may make them interesting candidates for applications.
arXiv comment14 pages, 12 figures
References in corpus (65)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- New directions in the pursuit of Majorana fermions in solid state systems
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Classification of Gapped Symmetric Phases in 1D Spin Systems
- Symmetry protection of topological order in one-dimensional quantum spin systems
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Classifying quantum phases using Matrix Product States and PEPS
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Complete classification of 1D gapped quantum phases in interacting spin systems
- Hard gap in epitaxial semiconductor-superconductor nanowires
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Majorana corner modes in a high-temperature platform
- Majorana box qubits
- Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
- From Luttinger liquid to non-Abelian quantum Hall states
- Magnetization Plateaux in N-Leg Spin Ladders
- Topological Kondo effect with Majorana fermions
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Topological phases, Majorana modes and quench dynamics in a spin ladder system
- Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
- Weakly coupled one-dimensional Mott insulators
- Nonlinear Integral Equation and Finite Volume Spectrum of Sine-Gordon Theory
- Multi-Terminal Coulomb-Majorana Junction
- The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study
- Majorana-Klein hybridization in topological superconductor junctions
- Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
- Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order
- Exact solution of a spin-ladder model
- Nonperturbative study of the two-frequency sine-Gordon model
- Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory
- Distinct trivial phases protected by a point-group symmetry in quantum spin chains
- Magnetization and dimerization profiles of the cut two-leg spin ladder and spin-1 chain
- The k-folded sine-Gordon model in finite volume
- A generic theory for Majorana zero modes in 2D superconductors
- Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
- Finite size effects in boundary sine-Gordon theory
- Exactly solvable quantum spin tubes and ladders
- SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
- Majorana states in inhomogeneous spin ladders
- The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
- Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
- Bulk Topological Proximity Effect
- Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
- Double sine-Gordon model revisited
- Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
- Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
- Exciton Hierarchies in Gapped Carbon Nanotubes
- Diagonal multi-soliton matrix elements in finite volume
- Topological Bootstrap: Fractionalization From Kondo Coupling
- A nonperturbative study of phase transitions in the multi-frequency sine-Gordon model
- The N-Leg spin-S Heisenberg ladders: A DMRG study
- One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
- Two-leg SU(2n) spin ladder: A low-energy effective field theory approach
- Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
- Topology from Triviality
- The spectrum of boundary sine-Gordon theory
Cited by in corpus (15)
- Topological charge pumping of bound bosonic pairs
- Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
- Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
- Topology and the one-dimensional Kondo-Heisenberg model
- Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
- Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
- Model of spin liquids with and without time-reversal symmetry
- Topological phases in two-legged Heisenberg ladders with alternating interactions
- Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
- Quantum phase transition and criticality in quasi one-dimensional spinless Dirac fermions
- Quantum Computing with sine-Gordon Qubits
- Interaction- and phonon-induced topological phase transitions in double helical liquids
- Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions
- Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
- Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction