Mutual Chern-Simons theory for Z_2 topological order

Details Mutual Chern-Simons theory for Z_2 topological order Mutual Chern-Simons theory for Z_2 topological order

2008-03-15

arxiv.org/abs/0803.2300v1

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages. RevTeX4

Scientific paper

10.1103/PhysRevB.78.155134

We study several different $Z_2$ topological ordered states in frustrated spin systems. The effective theories for those different Z_2 topological orders all have the same form -- a Z_2 gauge theory which can also be written as a mutual U(1) x U(1) Chern-Simons theory. However, we find that the different Z_2 topological orders are reflected in different projective realizations of lattice symmetry in the same effective mutual Chern-Simons theory. This result is obtained by comparing the ground-state degeneracy, the ground-state quantum numbers, the gapless edge state, and the projective symmetry group of quasi-particles calculated from the slave-particle theory and from the effective mutual Chern-Simons theories. Our study reveals intricate relations between topological order and symmetry.

Affiliated with

Also associated with

No associations

Rating

Mutual Chern-Simons theory for Z_2 topological order 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 Mutual Chern-Simons theory for Z_2 topological order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mutual Chern-Simons theory for Z_2 topological order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438769