Quantum interference in superposed lattices

Author:

Feng Yejun1,Wang Yishu23,Rosenbaum T. F.4ORCID,Littlewood P. B.56ORCID,Chen Hua7ORCID

Affiliation:

1. Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan

2. Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996

3. Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996

4. Division of Physics, Mathematics, and Astronomy, California Institute of Technology, Pasadena, CA 91125

5. The James Franck Institute and Department of Physics, The University of Chicago, Chicago, IL 60637

6. School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, United Kingdom

7. Department of Physics, Colorado State University, Fort Collins, CO 80523

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 σ xx   ( ρ xx ) and σ yy   ( ρ yy ) are no longer identical but opposite. These relationships contrast with the SdH oscillations from normal cyclotron orbits that maintain identical phases between σ xx   ( ρ xx ) and σ yy   ( ρ yy )  . 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.

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

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