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Published September 8, 2021 | Version v2
Journal article Open

Temperature dependence of quantum oscillations from non-parabolic dispersions

  • 1. Laboratory of Quantum Materials (QMAT), Institute of Materials (IMX), Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
  • 2. Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 3. Center for Nanochemistry, Beijing National Laboratory for Molecular Sciences (BNLMS),College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China.
  • 4. Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
  • 5. Chair of Computational Condensed Matter Physics (C3MP), Institute of Physics (IPHYS), Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland. National Centre for Computational Design and Discovery of Novel Materials MARVEL,Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
  • 6. Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany. School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, UK.
  • 7. Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Description

Original data files (ASCII- and origin files) and mathmatica coding for manuscript entitled "Linearly-dispersing topological bands detected by high temperature quantum oscillations", which will appear on Nature Communications soon.

Notes

The phase offset of quantum oscillations is commonly used to experimentally diagnose topologically non-trivial Fermi surfaces. This methodology, however, is inconclusive for spin-orbit-coupled metals where $\pi$-phase-shifts can also arise from non-topological origins. Here, we show that the linear dispersion in topological metals leads to a $T^2$-{temperature correction} to the oscillation frequency that is absent for parabolic dispersions. We confirm this effect experimentally in the Dirac semi-metal Cd$_3$As$_2$ and the multiband Dirac metal LaRhIn$_5$. Both materials match a tuning-parameter-free theoretical prediction, emphasizing their unified origin. For topologically trivial Bi$_2$O$_2$Se, no frequency shift associated to linear bands is observed as expected. However, the $\pi$-phase shift in Bi$_2$O$_2$Se would lead to a false positive in a Landau-fan-plot analysis. Our frequency-focused methodology does not require any input from ab-initio calculations, and hence is promising for identifying correlated topological materials.

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