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Random-walk topological transition revealed via electron counting

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2017

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Engelhardt, Georg
Platero, Gloria
Schaller, Gernot
Brandes, Tobias

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Physical Review B. 2017, 96(24), 241404. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.96.241404

Zusammenfassung

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.

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ISO 690ENGELHARDT, Georg, Mónica BENITO, Gloria PLATERO, Gernot SCHALLER, Tobias BRANDES, 2017. Random-walk topological transition revealed via electron counting. In: Physical Review B. 2017, 96(24), 241404. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.96.241404
BibTex
@article{Engelhardt2017Rando-41498,
  year={2017},
  doi={10.1103/PhysRevB.96.241404},
  title={Random-walk topological transition revealed via electron counting},
  number={24},
  volume={96},
  issn={2469-9950},
  journal={Physical Review B},
  author={Engelhardt, Georg and Benito, Mónica and Platero, Gloria and Schaller, Gernot and Brandes, Tobias},
  note={Article Number: 241404}
}
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