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Exact asymptotic behavior of correlation functions for disordered spin-1/2 XXZ chains

We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the transition between liquid and disordered phase that occurs for a special value of anisotropy in the limit of small disorder. Apart from a universal power law decay of correlations, we find additional logarithmic corrections due to marginally irrelevant operator of disorder.

preprint2012arXivOpen access
Zoran RistivojevicAleksandra PetkovicThierry Giamarchi
cond-mat.stat-mechcond-mat.dis-nnquant-ph
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Zoran RistivojevicAleksandra PetkovicThierry Giamarchi

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