Hidden massive Dirac fermions in effective field theory for integral quantum Hall transitions

Update Item Information
Publication Type Journal Article
School or College College of Science
Department Physics
Creator Wu, Yong-Shi
Other Author Hatsugai, Yasuhiro; Kohmoto, Mahito
Title Hidden massive Dirac fermions in effective field theory for integral quantum Hall transitions
Date 1996-08
Description Integral quantum Hall plateau transitions in a planar lattice system due to gap collapse can be described by an effective field theory with Dirac fermions. We discuss how to reproduce the correct integral values for the Hall conductance sxy before and after the plateau transition, which are dictated by the microscopic topological invariant. In addition to the massless Dirac fermions that appear at gap closing, the matching condition of sxy requires the introduction of massive Dirac fermions, as ‘‘spectators,'' in the effective field theory. For noninteracting electrons on the lattice, we give a general prescription to determine these massive spectators, based on microscopic information on the vortices in the magnetic Brillouin zone which are closely related to edge states. Our description is demonstrated in a model with both nearest-neighbor and next-nearest-neighbor hoppings.
Type Text
Publisher American Physical Society
Journal Title Physical Review B
Volume 54
Issue 7
First Page 4898
Last Page 4906
DOI 10.1103/PhysRevB.54.4898
citatation_issn 0163-1829
Subject Dirac fermions; Vorticities; Edge states; Hall conductance
Subject LCSH Fermions; Quantum field theory; Quantum Hall effect; Vortex-motion
Language eng
Bibliographic Citation Hatsugai, Y., Kohmoto, M., & Wu, Y.-S. (1996). Hidden massive Dirac fermions in effective field theory for integral quantum Hall transitions. Physical Review B - Condensed Matter and Materials Physics, 54(7), 4898-906.
Rights Management (c) American Physical Society http://dx.doi.org/10.1103/PhysRevB.54.4898
Format Medium application/pdf
Format Extent 667,827 bytes
Identifier ir-main,9457
ARK ark:/87278/s60v8x8x
Setname ir_uspace
ID 706098
Reference URL https://collections.lib.utah.edu/ark:/87278/s60v8x8x
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