Interacting Dirac fermions under a spatially alternating pseudomagnetic field: Realization of spontaneous quantum Hall effect
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PhysRevB.93.195126.pdf
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1011.74 KB
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Author(s) •
Fu, Liang
Venderbos, Joern Willem Friedrich
Date Issued
May 2016
Journal
Physical Review B
Publisher
American Physical Society
Citation
Venderbos, Jorn W. F., and Liang Fu. “Interacting Dirac Fermions Under a Spatially Alternating Pseudomagnetic Field: Realization of Spontaneous Quantum Hall Effect.” Physical Review B 93, no. 19 (May 13, 2016). © 2016 American Physical Society
Version
Final published version
Abstract
Both topological crystalline insulator surfaces and graphene host multivalley massless Dirac fermions which are not pinned to a high-symmetry point of the Brillouin zone. Strain couples to the low-energy electrons as a time-reversal-invariant gauge field, leading to the formation of pseudo-Landau-levels (PLLs). Here we study periodic pseudomagnetic fields originating from strain superlattices. We study the low-energy Dirac PLL spectrum induced by the strain superlattice and analyze the effect of various polarized states. Through self-consistent Hartree-Fock calculations we establish that, due to the strain superlattice and PLL electronic structure, a valley-ordered state spontaneously breaking time reversal and realizing a quantum Hall phase is favored, while others are suppressed. Our analysis applies to both topological crystalline insulators and graphene.
MIT Department
Massachusetts Institute of Technology. Materials Processing Center
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.93.195126