Published February 13, 2024
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Journal Article
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Quantum interference in superposed lattices
Abstract
Charge transport in solids at low temperature reveals a material’s mesoscopic properties and structure. Under a magnetic field, Shubnikov–de Haas (SdH) oscillations inform complex quantum transport phenomena that are not limited by the ground state characteristics and have facilitated extensive explorations of quantum and topological interest in two- and three-dimensional materials. Here, in elemental metal Cr with two incommensurately superposed lattices of ions and a spin-density-wave ground state, we reveal that the phases of several low-frequency SdH oscillations in σₓₓ (ρₓₓ) and σᵧᵧ (ρᵧᵧ) are no longer identical but opposite. These relationships contrast with the SdH oscillations from normal cyclotron orbits that maintain identical phases between σₓₓ (ρₓₓ) and σᵧᵧ (ρᵧᵧ) . We trace the origin of the low-frequency SdH oscillations to quantum interference effects arising from the incommensurate orbits of Cr’s superposed reciprocal lattices and explain the observed π-phase shift by the reconnection of anisotropic joint open and closed orbits.
Copyright and License
© 2024 the Author(s). Published by PNAS. This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY).
Acknowledgement
We thank M.G. Dronova and D.M. Silevitch for technical assistance during dHvA measurements. Y.F. acknowledges the support from Okinawa Institute of Science and Technology Graduate University with subsidy funding from the Cabinet Office, Government of Japan. Y.W. acknowledges the startup support from the University of Tennessee, Knoxville. T.F.R. acknowledges support from the US Department of Energy Basic Energy Sciences Award No. DE-SC0014866 for the data analysis and manuscript preparation performed at Caltech. H.C. acknowledges support from US NSF CAREER grant DMR-1945023.
Contributions
Y.F. designed research; Y.F., Y.W., T.F.R., P.B.L., and H.C. performed research; Y.F., Y.W., T.F.R., P.B.L., and H.C. analyzed data; and Y.F. wrote the paper.
Data Availability
All study data are included in the article and/or SI Appendix.
Conflict of Interest
The authors declare no competing interest.
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Additional details
- ISSN
- 1091-6490
- PMCID
- PMC10873631
- Okinawa Institute of Science and Technology Graduate University
- University of Tennessee at Knoxville
- DE-SC0014866
- United States Department of Energy
- DMR-1945023
- National Science Foundation
- Caltech groups
- Institute for Quantum Information and Matter