Author:
Le Xiong,Qiao Yi,Cao Junpeng,Yang Wen-Li,Shi Kangjie,Wang Yupeng
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference28 articles.
1. L. Onsager, Crystal statistics. 1. A Two-dimensional model with an order disorder transition, Phys. Rev. 65 (1944) 117 [INSPIRE].
2. E.H. Lieb and F.Y. Wu, Absence of Mott transition in an exact solution of the short-range, one-band model in one dimension, Phys. Rev. Lett. 20 (1968) 1445 [Erratum ibid. 21 (1968) 192] [INSPIRE].
3. L.D. Faddeev and L.A. Takhtajan, What is the spin of a spin wave?, Phys. Lett. A 85 (1981) 375 [INSPIRE].
4. H. Bethe, On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain, Z. Phys. 71 (1931) 205 [INSPIRE].
5. R.J. Baxter, Eight-Vertex Model in Lattice Statistics, Phys. Rev. Lett. 26 (1971) 832 [INSPIRE].
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