Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain

Journal of High Energy Physics

Yupeng Wang¹  Xiong Le²  Yi Qiao²  Junpeng Cao³  Kangjie Shi⁴  Wen-Li Yang⁵ 

[1] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, No. 8, 3rd South Street, Zhongguancun, 100190, Beijing, China;Peng Huanwu Center for Fundamental Theory, No. 1, Xuefu Avenue, 710127, Xian, China;The Yangtze River Delta Physics Research Center, No. 1, Zhongguancun Avenue, Liyang, Jiangsu, China;Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, No. 8, 3rd South Street, Zhongguancun, 100190, Beijing, China;School of Physical Sciences, University of Chinese Academy of Sciences, No. 19(A) Yuquan Road, 100049, Beijing, China;Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, No. 8, 3rd South Street, Zhongguancun, 100190, Beijing, China;School of Physical Sciences, University of Chinese Academy of Sciences, No. 19(A) Yuquan Road, 100049, Beijing, China;Songshan Lake Materials Laboratory, No. 1, Xuefu Avenue, 523808, Dongguan, Guangdong, China;Peng Huanwu Center for Fundamental Theory, No. 1, Xuefu Avenue, 710127, Xian, China;Institute of Modern Physics, Northwest University, No. 1, Xuefu Avenue, 710127, Xian, China;Peng Huanwu Center for Fundamental Theory, No. 1, Xuefu Avenue, 710127, Xian, China;Institute of Modern Physics, Northwest University, No. 1, Xuefu Avenue, 710127, Xian, China;School of Physics, Northwest University, No. 1, Xuefu Avenue, 710127, Xian, China;Shaanxi Key Laboratory for Theoretical Physics Frontiers, No. 1, Xuefu Avenue, 710127, Xian, China;

关键词: Bethe Ansatz;    Lattice Integrable Models;   

DOI  :  10.1007/JHEP11(2021)044

来源: Springer

【 摘 要 】

Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually given by inhomogeneous T − Q relations and the Bethe root patterns are still unclear. In this paper with the antiperiodic XXZ spin chain as an example, an analytic method to derive both the Bethe root patterns and the transfer-matrix root patterns in the thermodynamic limit is proposed. Based on them the ground state energy and elementary excitations in the gapped regime are derived. The present method provides an universal procedure to compute physical properties of quantum integrable models in the thermodynamic limit.

【 授权许可】

CC BY