 Exact solvability and asymptotic aspects of generalized XX0 spin chainsM. Saeedian and A. Zahabi Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C Abstract: Building on our earlier work (Saeedian et al. 2018), we introduce and study generalized XX0 models. We explicitly construct a long-range interacting spin chain, referred to as the Selberg model, and study the correlation functions of the Selberg and XX0 models. Using a matrix integral representation of the generalized XX0 model and applying asymptotic analysis in non-intersecting Brownian motion, the phase structure of the Selberg model is determined. We find that tails of the Tracy–Widom distribution, of Gaussian unitary ensemble, govern a discrete-to-continuous third-order phase transition in Selberg model. The same method also reproduces the Gross–Witten phase transition of the original XX0 model. Finally, we conjecture universal features for the phase structure of the generalized XX0 model. Keywords: XX0 model; Matrix models; Phase transition; Correlation functions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120301588 DOI: 10.1016/j.physa.2020.124406 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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