Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-12-11
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages
Scientific paper
We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z_N gauge theory by a continuous quantum phase transition. These non-Abelian states, which we refer to as the "twisted" Z_N states, are described by a recently studied $U(1) \times U(1) \rtimes Z_2$ Chern-Simons (CS) field theory. The $U(1) \times U(1) \rtimes Z_2$ CS theory provides a way of gauging the global Z_2 electric-magnetic symmetry of the Abelian Z_N phases, yielding the twisted Z_N states. We introduce a parton construction to describe the Abelian Z_N phases in terms of integer quantum Hall states, which then allows us to obtain the non-Abelian states from a theory of Z_2 fractionalization. The non-Abelian twisted Z_N states do not have topologically protected gapless edge modes and, for N > 2, break time-reversal symmetry.
Barkeshli Maissam M.
Wen Xiao Gang
No associations
LandOfFree
Phase transitions in Z_N gauge theory and twisted Z_N topological phases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Phase transitions in Z_N gauge theory and twisted Z_N topological phases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transitions in Z_N gauge theory and twisted Z_N topological phases will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-105420