English

Quasi-quantized Hall response in bulk InAs

Mesoscale and Nanoscale Physics 2022-02-10 v3 Other Condensed Matter

Abstract

The quasi-quantized Hall effect (QQHE) is the three-dimensional (3D) counterpart of the integer quantum Hall effect (QHE),exhibited only by two-dimensional (2D) electron systems. It has recently been observed in layered materials, consisting of stacks of weakly coupled 2D platelets that are yet characterized by a 3D anisotropic Fermi surface. However, it is predicted that the quasi-quantized 3D version of the 2D QHE should occur in a much broader class of bulk materials, regardless of the underlying crystal structure. Here, we compare the observation of quasi-quantized plateau-like features in the Hall conductivity of then-type bulk semiconductor InAs with the predictions for the 3D QQHE in presence of parabolic electron bands. InAs takes form of a cubic crystal without any low-dimensional substructure. The onset of the plateau-like feature in the Hall conductivity scales with 2/3kFz/π\sqrt{2/3}k_{F}^{z}/\pi in units of the conductance quantum and is accompanied by a Shubnikov-de Haas minimum in the longitudinal resistivity, consistent wit the results of calculations. This confirms the suggestion that the 3D QQHE may be a generic effect directly observable in materials with small Fermi surfaces, placed in sufficiently strong magnetic fields

Keywords

Cite

@article{arxiv.2102.04928,
  title  = {Quasi-quantized Hall response in bulk InAs},
  author = {Rafał Wawrzyńczak and Stanislaw Galeski and Jonathan Noky and Yan Sun and Claudia Felser and Johannes Gooth},
  journal= {arXiv preprint arXiv:2102.04928},
  year   = {2022}
}
R2 v1 2026-06-23T22:59:13.189Z