Random-walk topological transition revealed via electron counting

  • The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic random walk version of the Su-Schrieffer-Heeger model with no relation to coherent wave dynamics. We explain that the commonly used topological invariant in the momentum space translates into an invariant in a counting-field space. This invariant gives rise to clear signatures of the topological phase in an associated escape time distribution.

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Author:Georg Engelhardt, Mónica BenitoORCiDGND, Gloria Platero, Gernot Schaller, Tobias Brandes
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/104286
Parent Title (English):Physical Review B
Publisher:American Physical Society (APS)
Place of publication:College Park, MD
Year of first Publication:2017
Publishing Institution:Universität Augsburg
Release Date:2023/05/10
First Page:241404(R)
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Professur für Quantencomputing und Quantengeräte
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):Deutsches Urheberrecht