Identification of topologically different valence bond states in spin ladders

Details Identification of topologically different valence bond states in spin ladders Identification of topologically different valence bond states in spin ladders

2002-10-25

arxiv.org/abs/cond-mat/0210567v1

Physica B 329-333 (2003) 1000

Physics

Condensed Matter

Statistical Mechanics

2 pages, Proceedings for LT23

Scientific paper

10.1016/S0921-4526(02)02180-4

We discuss relation between three different methods to identify topologically distinct short-range valence-bond ground states in spin-$\frac12$ two-leg ladders: the string order parameters, the level-crossing method, and the ground-state expectation value of the twist operator. For this purpose we reexamine a phase transition in the frustrated spin ladder. We propose a proper bosonization of the string order parameters. Then, these three methods are shown to be equivalent reflecting the $Z_2\times Z_2$ symmetry breaking of the order and the disorder fields of the two-dimensional Ising model.

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