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- Title
Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain.
- Authors
Le, Xiong; Qiao, Yi; Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng
- Abstract
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.
- Subjects
GROUND state energy; QUASIPARTICLES; SYMMETRY
- Publication
Journal of High Energy Physics, 2021, Vol 2021, Issue 11, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP11(2021)044