Thermodynamics and criticality of supersymmetric spin chains with long-range interactions



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Finkel Morgenstern, Federico and González López, Artemio and León Yebra, Carlos and Rodríguez González, Miguel Ángel (2018) Thermodynamics and criticality of supersymmetric spin chains with long-range interactions. Journal of statistical mechanics : theory and experiment . ISSN 1742-5468

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We study the thermodynamics and critical behavior of su(m|n) supersymmetric spin chains of Haldane-Shastry type with a chemical potential term. We obtain a closed-form expression for the partition function and deduce a description of the spectrum in terms of the supersymmetric version of Haldane's motifs, which we apply to obtain an analytic expression for the free energy per site in the thermodynamic limit. By studying the low-temperature behavior of the free energy, we characterize the critical behavior of the chains with 1 <= m, n <= 2, determining the critical regions and the corresponding central charge. We also show that in the su(2|1), su(1| 2) and su(2| 2) chains the bosonic or fermionic densities can undergo first-order ( discontinuous) phase transitions at T = 0, in contrast with the previously studied su(2) case.

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© IOP Publishing.
FF, AG-L and MAR were partially supported by Spain’s MINECO under research grant no. FIS2015-63966-P.

Uncontrolled Keywords:Inverse-square exchange; Conformal field-theory; Haldane-shastry type; D-N-type; Exact spectrum; Integrable systems; Partition-function; Heisenberg chain; Sutherland model; Bcn type
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:47573
Deposited On:18 May 2018 15:04
Last Modified:10 Dec 2018 15:09

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