An exact solution to asymptotic Bethe equation
arXiv:2010.10160 · doi:10.1088/1751-8121/abf1ad
Abstract
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.
arXiv comment9 pages, 1 figure
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