Random-walk topological transition revealed via electron counting

G. Engelhardt; M. Benito; G. Platero; G. Schaller; T. Brandes

DOI:10.1103/PhysRevB.96.241404

Corpus ID: 118945424

Random-walk topological transition revealed via electron counting

@article{Engelhardt2017RandomwalkTT,
  title={Random-walk topological transition revealed via electron counting},
  author={G. Engelhardt and M. Benito and G. Platero and G. Schaller and T. Brandes},
  journal={Physical Review B},
  year={2017},
  volume={96},
  pages={241404}
}

G. Engelhardt, M. Benito, +2 authors T. Brandes

Published 2017

Physics

Physical Review B

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… CONTINUE READING

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