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arXiv:2105.01352 [math-ph]AbstractReferencesReviewsResources

T-W relation and free energy of the Heisenberg chain at a finite temperature

Pengcheng Lu, Yi Qiao, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang

Published 2021-05-04Version 1

A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t-W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corresponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.

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