Quantization of interface currents
Mathematical Physics
2016-10-27 v2 math.MP
Abstract
At the interface of two two-dimensional quantum systems, there may exist interface currents similar to edge currents in quantum Hall systems. It is proved that these interface currents are macroscopically quantized by an integer that is given by the difference of the Chern numbers of the two systems. It is also argued that at the interface between two time-reversal invariant systems with half-integer spin, one of which is trivial and the other non-trivial, there are dissipationless spin-polarized interface currents.
Cite
@article{arxiv.1405.0408,
title = {Quantization of interface currents},
author = {Motoko Kotani and Hermann Schulz-Baldes and Carlos Villegas-Blas},
journal= {arXiv preprint arXiv:1405.0408},
year = {2016}
}
Comments
final version, minor corrections, appears in J. Math. Phys