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

Rajak, Atanu ; Nag, Tanay ; Dutta, Amit (2014) Possibility of adiabatic transport of a Majorana edge state through an extended gapless region Physical Review E, 90 (4). ISSN 1539-3755

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Official URL: http://doi.org/10.1103/PhysRevE.90.042107

Related URL: http://dx.doi.org/10.1103/PhysRevE.90.042107

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.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:117184
Deposited On:16 Apr 2021 04:53
Last Modified:16 Apr 2021 04:53

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