Berlin 2018 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 19: Quantum dots and wires: Transport properties
HL 19.4: Vortrag
Dienstag, 13. März 2018, 10:15–10:30, A 151
Random-walk topological transition revealed via electron counting — Georg Engelhardt1, •Mónica Benito2,3, Gloria Platero3, Gernot Schaller1, and Tobias Brandes1 — 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — 2Department of Physics, University of Konstanz, D-78457 Konstanz, Germany — 3nstituto de Ciencia de Material de Madrid, CSIC, 28049 Madrid, Spain
The appearance of topological effects in systems exhibiting non-trivial topological band structures 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 quantization gives rise to clear signatures of the topological phase in an associated waiting time distribution.