Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study

Abstract

We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of Δ = t, and by using density-matrix-renormalizationgroup method for interacting system with nearest neighbor repulsion interaction. We suggest and examine an edge correlation function of Majorana fermions to characterize the long range order in the topological superconducting states and study the phase diagram of the interating Kitaev chain.

19 pages, 8 figures

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Cited by in corpus (18)

• Topological superconductivity and Majorana states in low-dimensional systems
• Out of Equilibrium Majoranas in Interacting Kitaev Chains
• Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• End-to-end correlations in the Kitaev chain
• Majorana correlations in quantum impurities coupled to a topological wire
• Squashed entanglement in one-dimensional quantum matter
• Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
• Quaternary Jordan-Wigner mapping and topological extended-kink phase in the interacting Kitaev ring
• A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain
• Nonuniform Parafermion Chains: Low-Energy Physics and Finite-Size Effects
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
• Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration