2014/05/31 by Motoko Kotani, Hermann Schulz-Baldes, Carlos Villegas-Blas · 13 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Integer (computer science) #Interface (matter) #Invariant (physics) #Quantization (signal processing) #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Topological Materials and Phenomena #math-ph #math.MP
paper · pdf · doi:10.1063/1.4902377
published in Journal of Mathematical Physics 55(12) (American Institute of Physics) · final version, minor corrections, appears in J. Math. Phys
openalex publication_date 2014/12/01 · arxiv created 2015/02/27 · openalex created_date 2016/06/24 · arxiv updated 2016/10/27 · openalex updated_date 2026/08/05
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.