Phase transitions in ZN gauge theory and twisted ZN topological phases
Name
Barkeshli-2012-Phase transitions in.pdf
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Author(s)
Barkeshli, Maissam
Wen, Xiao-Gang
Date Issued
August 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Barkeshli, Maissam, and Xiao-Gang Wen. “Phase Transitions in Z_{N} Gauge Theory and Twisted Z_{N} Topological Phases.” Physical Review B 86.8 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z[subscript N] gauge theory by a continuous quantum phase transition. These non-Abelian states, which we refer to as the “twisted” Z[subscript N] states, are described by a recently studied U(1)×U(1)⋊Z[subscript 2] Chern-Simons (CS) field theory. The U(1)×U(1)⋊Z[subscript 2] CS theory provides a way of gauging the global Z[subscript 2] electric-magnetic symmetry of the Abelian Z[subscript N] phases, yielding the twisted Z[subscript N] states. We introduce a parton construction to describe the Abelian Z[subscript N] phases in terms of integer quantum Hall states, which then allows us to obtain the non-Abelian states from a theory of Z[subscript 2] fractionalization. The non-Abelian twisted Z[subscript N] states do not have topologically protected gapless edge modes and, for N>2, break time-reversal symmetry.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.86.085114
