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  4. Interacting Dirac fermions under a spatially alternating pseudomagnetic field: Realization of spontaneous quantum Hall effect

Interacting Dirac fermions under a spatially alternating pseudomagnetic field: Realization of spontaneous quantum Hall effect

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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
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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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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/102656
DOI of Published Version
https://doi.org/10.1103/PhysRevB.93.195126
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