Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets

Abstract

Various versions of the Bethe ansatz are suggested for evaluation of scattering two-magnon states in 2D and 3D Heisenberg-Ising ferromagnets. It is shown that for 2D square (3D qubic) finite-periodic or infinite lattices about a half (3/4) of states have a correctly 2D- (3D-) generalized Bethe form. The remaining scattering states are treated (on the infinite lattices only) within the degenerative discrete-diffractive modification of the Bethe ansatz previously suggested by the author.

41 pages

References in corpus (2)

• Exact Excited States of Non-Integrable Models
• Second cluster integral from the spectrum of an infinite XXZ spin chain

Cited by in corpus (3)

• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Exact Excited States of Non-Integrable Models
• Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models