2D Materials in Strong Magnetic Fields: Hofstadter physics from first-principles

POSTER

Abstract

We present a first-principles approach for treating 2D materials from weak to strong magnetic fields [1] and more precisely from the integer to the fractal quantum Hall regime. Our approach relies on the expansion on a correlated basis consisting of Landau levels and Bloch waves. In this manner we are able to compute energy bands of 2D materials as a function of the magnetic field strength and to capture the fractal spectrum of the Hofstadter butterfly [2] from first-principles. Further, the connection of the fractal spectrum to experimental transport measurements [3] will be presented, and how our theory allows for the explanation of these measurements and the intricate phenomena related to the Hofstadter butterfly.

[1]V. Rokaj, M. Penz, M. A. Sentef, M. Ruggenthaler, and A. Rubio, Phys. Rev. Lett. 123, 047202 (2019)
[2] D. R. Hofstadter, Phys. Rev. B 14, 2239 (1976)
[3] L. Wang et al., Science 350, 1231 (2015).

Presenters

  • Vasil Rokaj

    • Max Planck Inst Structure & Dynamics of Matter

Authors

  • Vasil Rokaj

    • Max Planck Inst Structure & Dynamics of Matter

  • Markus Penz

    • Max Planck Inst Structure & Dynamics of Matter

  • Michael Sentef

    • Max Planck Inst Structure & Dynamics of Matter
    • theory department, Max Planck Institute for the Structure and Dynamics of Matter
    • Theory, Max Planck Institute for the Structure and Dynamics of Matter
    • Max Planck Institute for the Structure and Dynamics of Matter
    • Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany

  • Michael Ruggenthaler

    • Max Planck Inst Structure & Dynamics of Matter
    • Theory Department, Max-Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany

  • Angel Rubio

    • Max Plank Institute for the Structure and Dynamics of Matter; Center for Computational Quantum Physics Flatiron Institute
    • Max Planck Institute for the Structure and Dynamics of Matter
    • Theory, Max Planck Institute for the Structure and Dynamics of Matter
    • Max Planck Inst Structure & Dynamics of Matter
    • Physics, Max Planck Institute
    • Max Planck Institute for Structure and Dynamics of Matter and Center for Free-Electron Laser Science
    • Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, 22761 Hamburg, Germany
    • Max Planck Institute for the Structure and Dynamics of Matter and Center Free-Electron Laser Science, Hamburg, Germany
    • Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
    • MPSD Hamburg
    • Max Planck Institute
    • Max Planck Inst Structure & Dynamics of Matter; Center for Computational Quantum Physics Flatiron Institute, Simons Foundation NY, USA
    • Theory, Max Planck Inst Structure & Dynamics of Matter