Surface electron currents are studied for the integer quantum Hall effect in three dimensions (3D) proposed previously by Kohmoto et al. [Phys. Rev. B 45, 13 488 (1992)] and by Koshino et al. [Phys. Rev. Lett. 86, 1062 (2001)]. We predict that the current wraps the facets of the sample with its intensity and direction dictated by 3D Chern numbers that are just the quantized Hall conductivities in 3D (σxy, σzx), so a natural connection exists between the surface and bulk currents just as in 2D. An experiment to detect the 3D integer quantum Hall effect through the wrapping current is proposed.
|Number of pages||4|
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - 2002 Aug 15|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics