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Thermodynamic limit of the spin- <math> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </math> $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition

Authors :
Xin, Zhirong
Cao, Yusong
Xu, Xiaotian
Yang, Tao
Cao, Junpeng
Yang, Wen-Li
Source :
Journal of High Energy Physics
Publication Year :
2020
Publisher :
Springer, 2020.

Abstract

Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin- 1 2 $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter η m,l , at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N −2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the thermodynamic limit, which does not have any degenerate points.

Details

Language :
English
Database :
OpenAIRE
Journal :
Journal of High Energy Physics
Accession number :
edsair.od......3000..81ba6b75a368fbd0986349513590e135