%0 Book Section %1 statphys23_0063 %A Anfuso, F. %A Rosch, A. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K chain field gapped haldane ising model non-local order parameters statphys23 string systems topic-8 transverse %T Fragility of String Orders %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=63 %X 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.

@incollection{statphys23_0063, abstract = {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.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Anfuso, F. and Rosch, A.}, biburl = {https://www.bibsonomy.org/bibtex/261edc6500877e063f4daa3e5fc78ec26/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {503ed1e2a0d889cd9bc057d707a0a473}, intrahash = {61edc6500877e063f4daa3e5fc78ec26}, keywords = {chain field gapped haldane ising model non-local order parameters statphys23 string systems topic-8 transverse}, month = {9-13 July}, timestamp = {2007-06-20T10:16:10.000+0200}, title = {Fragility of String Orders}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=63}, year = 2007 }