Quantum Hall Ferroelectrics and Nematics in Multivalley Systems
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PhysRevX.7.041068.pdf
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Author(s)
Sodemann Villadiego, Inti A.
Zhu, Zheng
Fu, Liang
Date Issued
December 2017
Journal
Physical Review X
Publisher
American Physical Society
Citation
Sodemann, Inti, et al. “Quantum Hall Ferroelectrics and Nematics in Multivalley Systems.” Physical Review X, vol. 7, no. 4, Dec. 2017. © 2017 American Physical Society
Version
Final published version
Abstract
We study broken symmetry states at integer Landau-level fillings in multivalley quantum Hall systems whose low-energy dispersions are anisotropic. When the Fermi surface of individual pockets lacks twofold rotational symmetry, like in bismuth (111) [Feldman et al., Observation of a Nematic Quantum Hall Liquid on the Surface of Bismuth, Science 354, 316 (2016)] and in Sn[subscript 1-x]Pb[subscript x]Se (001) [Dziawa et al., Topological Crystalline Insulator States in Pb[subscript 1-x]Sn[subscript x]Se, Nat. Mater. 11, 1023 (2012)] surfaces, interactions tend to drive the formation of quantum Hall ferroelectric states. We demonstrate that the dipole moment in these states has an intimate relation to the Fermi surface geometry of the parent metal. In quantum Hall nematic states, like those arising in AlAs quantum wells, we demonstrate the existence of unusually robust Skyrmion quasiparticles.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1103/PhysRevX.7.041068
