Identification of topologically different valence bond states in spin ladders

Abstract

We discuss relation between three different methods to identify topologically distinct short-range valence-bond ground states in spin-$\frac{1}{2}$ 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.

2 pages, Proceedings for LT23

References in corpus (4)

• Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
• Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension
• Novel Order Parameter to Characterize Valence-Bond-Solid States
• Re-Entrant Quantum Phase Transitions in Antiferromagnetic Spin-1 Ladders

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