<p>Pentatellurides have emerged as an ideal platform for exploring topological phase transitions and their electronic properties. Positioned at the boundary between a strong and weak topological insulator phase, their low carrier density and linear dispersion enable a three-dimensional Dirac Hamiltonian description. A complete understanding of these materials remains elusive due to unexplained sample variability. In particular, these materials have been shown to host anomalous magnetoresistance including <InlineEquation ID="IEq1"><EquationSource Format="TEX">\(\log (B)\)</EquationSource><EquationSource Format="MATHML"><math><mi>log</mi><mrow><mo>(</mo><mrow><mi>B</mi></mrow><mo>)</mo></mrow></math></EquationSource></InlineEquation>-periodic signals, non-<InlineEquation ID="IEq2"><EquationSource Format="TEX">\(\log (B)\)</EquationSource><EquationSource Format="MATHML"><math><mi>log</mi><mrow><mo>(</mo><mrow><mi>B</mi></mrow><mo>)</mo></mrow></math></EquationSource></InlineEquation> and non-1/<i>B</i> oscillations, in addition to the conventional 1/<i>B</i> quantum oscillations. Differing interpretations invoke many-body effects and there is currently no unified understanding of these oscillations. Here we report non-1/<i>B</i> oscillations in ZrTe<sub>5</sub> down to 700 mK and up to 60 T, with a temperature and magnetic field dependence that violates the Lifshitz–Kosevich framework. We show that nonlinear Landau-level back-bending, arising from the interplay of cyclotron energy and strong spin-orbit coupling in a non-interacting Dirac system, captures all observed regimes and provides a foundation for understanding the electron dynamics of Dirac topological insulators beyond the quantum limit.</p>

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Reentrant Landau levels in a Dirac topological insulator

  • C. Kaufmann Ribeiro,
  • J. C. Mutch,
  • Q. Jiang,
  • J. P. Ayres-Sims,
  • K. Rubi,
  • C. A. Mizzi,
  • E. A. Peterson,
  • D. Bulmash,
  • J. Singleton,
  • N. Harrison,
  • P. F. S. Rosa,
  • J. X. Zhu,
  • J. H. Chu,
  • J. Larrea Jiménez,
  • S. M. Thomas,
  • J. C. Palmstrom

摘要

Pentatellurides have emerged as an ideal platform for exploring topological phase transitions and their electronic properties. Positioned at the boundary between a strong and weak topological insulator phase, their low carrier density and linear dispersion enable a three-dimensional Dirac Hamiltonian description. A complete understanding of these materials remains elusive due to unexplained sample variability. In particular, these materials have been shown to host anomalous magnetoresistance including \(\log (B)\)log(B)-periodic signals, non-\(\log (B)\)log(B) and non-1/B oscillations, in addition to the conventional 1/B quantum oscillations. Differing interpretations invoke many-body effects and there is currently no unified understanding of these oscillations. Here we report non-1/B oscillations in ZrTe5 down to 700 mK and up to 60 T, with a temperature and magnetic field dependence that violates the Lifshitz–Kosevich framework. We show that nonlinear Landau-level back-bending, arising from the interplay of cyclotron energy and strong spin-orbit coupling in a non-interacting Dirac system, captures all observed regimes and provides a foundation for understanding the electron dynamics of Dirac topological insulators beyond the quantum limit.