Back to Search
Start Over
Thermodynamic limit of the spin-12 XYZ spin chain with the antiperiodic boundary condition.
- Source :
- Journal of High Energy Physics; Dec2020, Vol. 2020 Issue 12, p1-34, 34p
- Publication Year :
- 2020
-
Abstract
- Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin- 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<subscript>m,l</subscript>, 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<superscript>−2</superscript>) 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2020
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 147797826
- Full Text :
- https://doi.org/10.1007/JHEP12(2020)146