Exact solutions and topological phase diagram in interacting dimerized Kitaev topological superconductors

Abstract

It was recently shown that an interacting Kitaev topological superconductor model is exactly solvable based on two-step Jordan-Wigner transformations together with one spin rotation. We generalize this model by including the dimerization, which is shown also to be exactly solvable. We analytically determine the topological phase diagram containing seven distinct phases. It is argued that the system is topological when a fermionic many-body Majorana zero-energy edge state emerges. It is intriguing that there are two tetra-critical points, at each of which four distinct phases touch.

arXiv comment5 pages, 2 figures

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Cited by in corpus (25)

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• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Exact ground states for interacting Kitaev chains
• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
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• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• 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
• Detecting topological phases via survival probabilities of edge Majorana fermions
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