Detecting topological phases via survival probabilities of edge Majorana fermions

Abstract

We investigate the evolutions of edge Majorana fermions (MFs) and unveil that they can be used to char- acterize different topological phases and study the topological phase transitions. For some limiting cases of the evolution process for the one-dimensional Kitaev model and Su-Schrieffer-Heeger (SSH) model, we give analytical expressions of the survival probabilities of the edge MFs, which indicates that different topological phases correspond to different zero point numbers of the defined survival probabilities at some times. For a general case, we consider a dimerized Kitaev model and the Kitaev chain with disorder chemical potential and numerically calculate the survival probabilities of two edge correlation MFs. Our results show that both of them equal to zero, one of them equals to zero at some times or neither of them equal to zero correspond to the SSH-like topological, topological superconductor and trivial phases respectively.

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Cited by in corpus (10)

• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems
• Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
• Detecting Majorana Zero Modes via Strong Field Dynamics
• String and conventional order parameters in the solvable modulated quantum chain
• Functional field integral approach to quantum work
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Topological and nontopological edge states induced by qubit-assisted coupling potentials
• Probing Majorana Modes via Local Spin Dynamics
• Quench dynamics of edge states in a finite extended Su-Schrieffer-Heeger system