Wave functions for fractional Chern insulators
Name
McGreevy-2012-Wave functions for fractional Chern.pdf
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607.17 KB
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Author(s)
McGreevy, John
Swingle, Brian Gordon
Tran, Ky-Anh
Date Issued
March 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
McGreevy, John, Brian Swingle, and Ky-Anh Tran. "Wave functions for fractional Chern insulators." Physical Review B 85 (2012): 12505-1-125105-13. http://link.aps.org/doi/10.1103/PhysRevB.85.125105 ©2012 American Physical Society
Version
Final published version
Abstract
We provide a parton construction of wave functions and effective field theories for fractional Chern insulators. We also analyze a strong-coupling expansion in lattice gauge theory that enables us to reliably map the parton gauge theory onto a microscopic electron Hamiltonian. We show that this strong-coupling expansion is useful because of a special hierarchy of energy scales in fractional quantum Hall physics. Our procedure is illustrated using the Hofstadter model and then applied to bosons at half filling and fermions at one-third filling in a checkerboard lattice model recently studied numerically. Because our construction provides a more or less unique mapping from microscopic model to effective parton description, we obtain wave functions in the same phase as the observed fractional Chern insulators without tuning any continuous parameters.
MIT Department
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.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.85.125105
