期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 54, 期 19, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/abf1ad
关键词
exactly solvable models; asymptotic Bethe ansatz; semiclassical quantisation
资金
- European Research Council under ERC [743032 DYNAMINT]
The study presents an exact solution to the asymptotic Bethe equation of weakly anisotropic Heisenberg spin chain, describing low-energy excitations above the ferromagnetic ground state with a fixed magnetization and closely related to generalised Jacobi polynomial. It is equivalent to a generalised Stieltjes problem and in the continuous limit, becomes a Riemann-Hilbert problem closely related to the finite-gap solutions of the classical Landau-Lifshitz field theory.
We present an exact solution to the asymptotic Bethe equation of weakly anisotropic Heisenberg spin chain, which is a set of non-linear algebraic equations. The solution describes the low-energy excitations above ferromagnetic ground state with fixed magnetisation, and it has a close relation to generalised Jacobi polynomial. It is equivalent to a generalised Stieltjes problem and in the continuous limit, it becomes a Riemann-Hilbert problem closely related to the finite-gap solutions of classical Landau-Lifshitz field theory.
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