Symmetry protection of topological order in one-dimensional quantum spin systems

Details Symmetry protection of topological order in one-dimensional quantum spin systems Symmetry protection of topological order in one-dimensional quantum spin systems

2009-09-22

arxiv.org/abs/0909.4059v3

Phys. Rev. B 85, 075125 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 6 figures, extended version: several new examples and numerical results added. Journal reference added

Scientific paper

10.1103/PhysRevB.85.075125

We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-$S$ Haldane phase is a topologically non-trivial phase which is protected by any one of the following three global symmetries: (i) the dihedral group of $\pi$-rotations about $x,y$ and $z$ axes; (ii) time-reversal symmetry $S^{x,y,z} \rightarrow - S^{x,y,z}$; (iii) link inversion symmetry (reflection about a bond center), consistently with previous results [Phys. Rev. B \textbf{81}, 064439 (2010)]. On the other hand, an even-$S$ Haldane phase is not topologically protected (i.e., it is indistinct from a trivial, site-factorizable phase). We show some numerical evidence that supports these claims, using concrete examples.

Affiliated with

Also associated with

No associations

Rating

Symmetry protection of topological order in one-dimensional quantum spin systems 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 protection of topological order in one-dimensional quantum spin systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry protection of topological order in one-dimensional quantum spin systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301388