Quench dynamics of edge states in 2-D topological insulator ribbons

Aavishkar Patel (), Shraddha Sharma and Amit Dutta

The European Physical Journal B: Condensed Matter and Complex Systems, 2013, vol. 86, issue 9, 1-6

Abstract: We study the dynamics of edge states of the two dimensional BHZ Hamiltonian in a ribbon geometry following a sudden quench to the quantum critical point separating the topological insulator phase from the trivial insulator phase. The effective edge state Hamiltonian is a collection of decoupled qubit-like two-level systems which get coupled to bulk states following the quench. We notice a pronounced collapse and revival of the Lochschmidt echo for low-energy edge states illustrating the oscillation of the state between the two edges. We also observe a similar collapse and revival in the spin Hall current carried by these edge states, leading to a persistence of its time-averaged value. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Keywords: Mesoscopic and Nanoscale Systems (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1140/epjb/e2013-40657-2

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