Quantum Hall effect induced by chiral Landau levels in topological semimetal films

D.-H.-Minh Nguyen, Koji Kobayashi, Jan-Erik R. Wichmann, and Kentaro Nomura
Phys. Rev. B 104, 045302 – Published 8 July 2021

Abstract

Motivated by recent transport experiments, we theoretically study the quantum Hall effect in topological semimetal films. Owing to the confinement effect, the bulk subbands originating from the chiral Landau levels establish energy gaps that have quantized Hall conductance and can be observed in relatively thick films. We find that the quantum Hall state is strongly anisotropic for different confinement directions not only due to the presence of the surface states but also because of the bulk chiral Landau levels. As a result, we re-examine the quantum Hall effect from the surface Fermi arcs and chiral modes in Weyl semimetals and give a more general view into this problem. Also, we find that when a topological Dirac semimetal is confined in its rotational symmetry axis, it hosts both quantum Hall and quantum spin Hall states, in which the helical edge states are protected by the conservation of the spin-z component.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 13 May 2021
  • Accepted 25 June 2021

DOI:https://doi.org/10.1103/PhysRevB.104.045302

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

D.-H.-Minh Nguyen1,*, Koji Kobayashi1, Jan-Erik R. Wichmann1, and Kentaro Nomura1,2,†

  • 1Institute for Materials Research, Tohoku University, Sendai, Miyagi, 980-8577, Japan
  • 2Center for Spintronics Research Network, Tohoku University, Sendai 980-8577, Japan

  • *d.h.minh.ng@gmail.com
  • nomura@imr.tohoku.ac.jp

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 104, Iss. 4 — 15 July 2021

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×