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Symmetry protection of topological order in one-dimensional quantum spin systems | | Frank Pollmann
; Erez Berg
; Ari M. Turner
; Masaki Oshikawa
; | | Date: |
22 Sep 2009 | | Abstract: | We discuss characterization and stability of the topological order of the
Haldane phase. We find that an odd-$S$ Haldane phase has a robust topological
order 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 $S^{x,y,z} o - S^{x,y,z}$; (iii) link inversion symmetry (reflection
about a bond center). On the other hand, an even-$S$ Haldane phase is more
fragile and protected only by global SU(2) symmetry. The symmetry protection
can be extended to more general models, such as spin ladders. | | Source: | arXiv, 0909.4059 | | Services: | Forum | Review | PDF | Favorites | |
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