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

Statistical Mechanics 2012-07-16 v2 Disordered Systems and Neural Networks Quantum Physics

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.

Keywords

Cite

@article{arxiv.1205.2861,
  title  = {Exact asymptotic behavior of correlation functions for disordered spin-1/2 XXZ chains},
  author = {Zoran Ristivojevic and Aleksandra Petkovic and Thierry Giamarchi},
  journal= {arXiv preprint arXiv:1205.2861},
  year   = {2012}
}

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11 pages