TY - JOUR
T1 - Quantum Oscillations in the Zeroth Landau Level
T2 - Serpentine Landau Fan and the Chiral Anomaly
AU - Devakul, T.
AU - Kwan, Yves H.
AU - Sondhi, S. L.
AU - Parameswaran, S. A.
N1 - Funding Information:
We thank B. Assaf, B. A. Bernevig, A. I. Coldea, F. H. L. Essler, and L. Fu for discussions. We are especially grateful to N. Cooper for clarifying aspects of and for a stimulating conversation on semiclassical trajectories in quantum oscillations. We acknowledge support from the European Research Council under the European Union Horizon 2020 Research and Innovation Programme, Grant Agreement No. 804213-TMCS (Y. H. K., S. A. P.). Additional support was provided by the Gordon and Betty Moore Foundation through Grant No. GBMF8685 toward the Princeton theory program.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/9/10
Y1 - 2021/9/10
N2 - We identify an unusual mechanism for quantum oscillations in nodal semimetals, driven by a single pair of Landau levels periodically closing their gap at the Fermi energy as a magnetic field is varied. These "zero Landau level"quantum oscillations (ZQOs) appear in the nodal limit where the zero-field Fermi volume vanishes and have distinctive periodicity and temperature dependence. We link the Landau spectrum of a two-dimensional (2D) nodal semimetal to the Rabi model, and show by exact solution that, across the entire Landau fan, pairs of opposite-parity Landau levels are intertwined in a "serpentine"manner. We propose 2D surfaces of topological crystalline insulators as natural settings for ZQOs. In certain 3D nodal semimetals, ZQOs lead to oscillations of anomaly physics. We propose a transport measurement capable of observing such oscillations, which we demonstrate numerically.
AB - We identify an unusual mechanism for quantum oscillations in nodal semimetals, driven by a single pair of Landau levels periodically closing their gap at the Fermi energy as a magnetic field is varied. These "zero Landau level"quantum oscillations (ZQOs) appear in the nodal limit where the zero-field Fermi volume vanishes and have distinctive periodicity and temperature dependence. We link the Landau spectrum of a two-dimensional (2D) nodal semimetal to the Rabi model, and show by exact solution that, across the entire Landau fan, pairs of opposite-parity Landau levels are intertwined in a "serpentine"manner. We propose 2D surfaces of topological crystalline insulators as natural settings for ZQOs. In certain 3D nodal semimetals, ZQOs lead to oscillations of anomaly physics. We propose a transport measurement capable of observing such oscillations, which we demonstrate numerically.
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U2 - 10.1103/PhysRevLett.127.116602
DO - 10.1103/PhysRevLett.127.116602
M3 - Article
C2 - 34558955
AN - SCOPUS:85114884182
SN - 0031-9007
VL - 127
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
M1 - 116602
ER -