Possibility of adiabatic transport of a Majorana edge state through an extended gapless region

Abstract

In the context of slow quenching dynamics of a $p$-wave superconducting chain, it has been shown that a Majorana edge state can not be adiabatically transported from one topological phase to the other separated by a quantum critical line. On the other hand, the inclusion of a phase factor in the hopping term, that breaks the extended time reversal invariance, results in an extended gapless region between two topological phases. We show that for a finite chain with an open boundary condition there exists a non-zero probability that an edge Majorana can be adiabatically transported from one topological phase to the other across this gapless region following a slow quench of the superconducting term; this happens for an optimum transit time, that is proportional to the system size and diverges for a thermodynamically large chain. We attribute this phenomenon to the mixing of the Majorana only with low-lying inverted bulk states.

arXiv comment8 pages, 9 figures

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• Edge mode dynamics of quenched topological wires
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Survival probability in a quenched Majorana chain with an impurity
• Breakdown of local convertibility through Majorana modes in a quantum quench
• Adiabatic charge transport in extended SSH models
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary