Symmetry fractional quantization in two dimensions

Details Symmetry fractional quantization in two dimensions Symmetry fractional quantization in two dimensions

2010-12-20

arxiv.org/abs/1012.4470v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure

Scientific paper

We introduce a solvable spin-rotational and time-reversal invariant spin-1 model in two dimensions. Depending on parameters, the ground state is an equal-weight superposition of all valence loops called "resonating valence loop" (RVL) or an equal-weight superposition of all valence bonds known as "resonating valence bond" (RVB). In RVL, ends of open loops are deconfined spinons of spin-1/2 that cannot be obtained by simple combinations of spin-1 -- a phenomenon of fractionalization; while in RVB, all quasiparticles carry an integer spin, hence no fractionalization. RVL and RVB are spin liquids with identical topological order but different spin-rotational and time-reversal symmetry quantum numbers of quasiparticles. We propose that quantized symmetry quantum number gives a systematic way to (partially) classify phases with identical topological order in dimensions greater than one.

Affiliated with

Also associated with

No associations

Rating

Symmetry fractional quantization in two dimensions 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 Symmetry fractional quantization in two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry fractional quantization in two dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94610