On the Thermodynamics of Supersymmetric Haldane–Shastry Spin Chains

  • F. Finkel
  • A. González-López
  • I. León
  • M. A. RodríguezEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 229)


In this short report we present some recent results on the thermodynamics of \(\mathrm {su}(m|n)\) supersymmetric spin chains of Haldane–Shastry type, with long-range position-dependent interactions. We first evaluate their partition function, and then show how to express it in terms of supersymmetric Haldane motifs. This key step makes it possible to derive the thermodynamic functions of the system in closed form through a modification of the usual transfer matrix approach. In particular, from the low-temperature behavior of the free energy we obtain a full description of the critical behavior of these chains for low values of m and n.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • F. Finkel
    • 1
  • A. González-López
    • 1
  • I. León
    • 1
  • M. A. Rodríguez
    • 1
    Email author
  1. 1.Departamento de Física TeóricaUniversidad Complutense de MadridMadridSpain

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