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arXiv · 1205.2861

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

Zoran Ristivojevic·Aleksandra Petkovic·Thierry Giamarchi
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Abstract

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.

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Zoran Ristivojevic, Aleksandra Petkovic, Thierry Giamarchi. 2012-07-13. Exact asymptotic behavior of correlation functions for disordered spin-1/2 XXZ chains. https://doi.org/10.1016/j.nuclphysb.2012.06.019

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