Fragility of String Orders

Details Fragility of String Orders Fragility of String Orders

2007-02-03

arxiv.org/abs/cond-mat/0702064v2

Phys. Rev. B 76, 085124 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figures. Published version

Scientific paper

10.1103/PhysRevB.76.085124

One-dimensional gapped systems are often characterized by a 'hidden' non-local order parameter, the so-called string order. Due to the gap, thermodynamic properties are robust against a weak higher-dimensional coupling between such chains or ladders. To the contrary, we find that the string order is not stable and decays for arbitrary weak inter-chain or inter-ladder coupling. We investigate the vanishing of the order for three different systems: spin-one Haldane chains, band insulators, and the transverse-field Ising model. Using perturbation theory and bosonization, we show that the fragility of the string order arises from non-local commutation relations between the non-local order parameter and the perturbation.

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