Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions

Abstract

We study analytically a modified dimerized Kitaev chain model under both periodic and open boundary conditions and determine its phase diagram by calculating the topological number and edge correlation functions of Majorana fermions. We explicitly give analytical solutions for eigenstates of the model under open boundary conditions, which permit us to calculate two introduced edge correlation functions of Majorana fermions analytically. Our results indicate that the two edge correlation functions can be used to characterize the trivial, Su-Schrieffer-Heeger-like topological and topological superconductor phases. Furthermore, we find the existence of two different coupling patterns of Majorana fermions in topological superconductor phase characterized by different edge correlation functions, which can also be distinguished by investigating the survival probability of an edge Majorana under sudden quenching of parameters.

8 pages, 5 figures

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Cited by in corpus (11)

• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Functional field integral approach to quantum work
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Majorana correlations in quantum impurities coupled to a topological wire
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
• Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization