2014
DOI: 10.1103/physreve.90.042107
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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 cannot 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, which breaks the effective 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 nonz… Show more

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Cited by 15 publications
(7 citation statements)
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“…In recent years, a considerable amount of work has been carried out to investigate the topological properties of one-dimensional p-wave Majorana chain [46][47][48][49][50][51][52][53][54][55][56]. Our main aim here is to study the effect of a single impurity, located at one of the boundaries, on the critical behavior of the EE in this model with an additional next nearest neighbor hopping term.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, a considerable amount of work has been carried out to investigate the topological properties of one-dimensional p-wave Majorana chain [46][47][48][49][50][51][52][53][54][55][56]. Our main aim here is to study the effect of a single impurity, located at one of the boundaries, on the critical behavior of the EE in this model with an additional next nearest neighbor hopping term.…”
Section: Introductionmentioning
confidence: 99%
“…It is noteworthy to mention that the dynamical generation [12], formation and manipulation [42] of Majorana edge states for a driven system have also studied extensively. Additionally, the theoretical prediction of an adiabatic transport of an edge Majorana through an extended gapless region has been made in a p-wave superconducting chain with complex hopping term [43].…”
Section: Introductionmentioning
confidence: 99%
“…Also, the dynamics of the tunneling into non-equilibrium edge states has been proposed as a possible signature of the existence of these states 70 . Non-equilibrium situations also may allow the transport of Majorana edges states using extended gapless regions with a small but finite overlap with the Majoranas 71 . Their effect has also been considered in 72 and in 73 .…”
Section: Introductionmentioning
confidence: 99%