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

Journal of High Energy Physics

Yi Qiao¹  Yupeng Wang²  Junpeng Cao³  Kang jie Shi⁴  Pengcheng Lu⁵  Wen-Li Yang⁶ 

[1] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China;Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China;Peng Huanwu Center for Fundamental Theory, 710127, Xian, China;The Yangtze River Delta Physics Research Center, Liyang, Jiangsu, China;Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China;School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China;Songshan Lake Materials Laboratory, 523808, Dongguan, Guangdong, China;Peng Huanwu Center for Fundamental Theory, 710127, Xian, China;Institute of Modern Physics, Northwest University, 710127, Xian, China;Institute of Modern Physics, Northwest University, 710127, Xian, China;Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China;Institute of Modern Physics, Northwest University, 710127, Xian, China;Peng Huanwu Center for Fundamental Theory, 710127, Xian, China;Shaanxi Key Laboratory for Theoretical Physics Frontiers, 710127, Xian, China;

关键词: Bethe Ansatz;    Lattice Integrable Models;   

DOI  :  10.1007/JHEP07(2021)133

来源: Springer

【 摘 要 】

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 corre- sponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.

【 授权许可】

CC BY