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Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices

Aman Anand1,*, Reinhold Egger2,†, and Alessandro De Martino1,‡

  • *Contact author: Aman.Anand@citystgeorges.ac.uk
  • †Contact author: egger@hhu.de
  • ‡Contact author: Alessandro.De-Martino.1@citystgeorges.ac.uk
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Phys. Rev. B 112, 235404 – Published 1 December, 2025

DOI: https://doi.org/10.1103/zwrf-dywf

Abstract

We study two-dimensional Dirac fermions in a one-dimensional mass superlattice under a perpendicular magnetic field. Using exact solutions for isolated and finite arrays of domain walls, we demonstrate the persistence of Jackiw-Rebbi modes with a field-dependent renormalized velocity. For the periodic case, we adopt a gauge-invariant projection method onto magnetic Bloch states, valid for arbitrary fields and mass profiles, which yields dispersive Landau levels, and confirm its accuracy by comparison with finite arrays spectra. From the miniband spectra we predict modified quantum Hall plateaus and Weiss-like magnetoconductivity oscillations, characterized by a strongly reduced amplitude and a π/2 phase shift compared to electrostatic superlattices.

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Phys. Rev. B 112, 235404– Published 1 December, 2025
  • Received 3 September 2025
  • Revised 6 November 2025
  • Accepted 12 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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