Wrapping Current versus Bulk Integer Quantum Hall Effect in Three Dimensions
Mikito Koshino, Hideo Aoki, Bertrand I. Halperin
Abstract
Surface electron currents are studied for the integer quantum Hall effect in three dimensions(3D) proposed previously by Kohmoto et al. and by Koshino et al. We predict the current wraps the facets of the sample with its intensity and direction dictated by 3D Chern numbers which 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.
Create a lesson
Related papers
ConvexAD: differentiable phase retrieval with geometric regularization for high-strain, low-signal Bragg coherent diffraction imaging
Matteo Masto, Ewen Bellec, Etienne Polack et al.
Symmetry-protected isolation of the quantum metric in chiral type-II semi-Dirac semimetals
Wen-Hao Bian, Jing Wang
Torsion, valley holonomy, and Berry phases of quasiparticles encircling dislocations and defect complexes in graphene
G. Q. Garcia, A. M. de M. Carvalho, C. Furtado
Field-free transverse response in altermagnet and topological insulator heterojunctions
Bijay Kumar Sahoo, Abhiram Soori
Nonlinearity-Induced Suppression of Dissipation in Bath-Coupled Floquet Topological Insulators
Bhoomija Chaurasia, Sebabrata Mukherjee
Dissipationless valley diode effects in Kekulé graphene superlattices
W. Zeng