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Chiral order in spin-S XY chains

Th. Jolicoeur·Ph. Lecheminant
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Abstract

We consider the issue of chiral ordering in spin chains for an arbitrary value of the spins S. By use of bosonization according to a scheme developped by H.-J. Schulz, we obtain the phase diagram of the chain with XY exchange between nearest and next-to-nearest neighbors. We obtain a satisfactory picture including a chiral spin nematic phase which is gapless, has long-range chiral order and incommensurate spin correlations. We perform a stability analysis of this phase and point out that this analysis is in conflict with existing DMRG results that shows a difference between integer and half-integer spin case.

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Th. Jolicoeur, Ph. Lecheminant. 2002-04-07. Chiral order in spin-S XY chains. https://arxiv.org/abs/cond-mat/0204160

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