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

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  • Aavishkar Patel
  • Shraddha Sharma
  • Amit Dutta

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

Suggested Citation

  • Aavishkar Patel & Shraddha Sharma & Amit Dutta, 2013. "Quench dynamics of edge states in 2-D topological insulator ribbons," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:9:p:1-6:10.1140/epjb/e2013-40657-2
    DOI: 10.1140/epjb/e2013-40657-2
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    Cited by:

    1. Shraddha Sharma & Tanay Nag & Atanu Rajak & Souvik Bandyopadhyay & Sourav Bhattacharjee & Somnath Maity & Utso Bhattacharya, 2024. "Unquenched—a memoir on non-equilibrium dynamics of quantum many-body systems: honoring Amit Dutta," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(7), pages 1-16, July.

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    Keywords

    Mesoscopic and Nanoscale Systems;

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