Truncated string state space approach and its application to nonintegrable spin-1/2 Heisenberg chain
arxiv(2024)
Abstract
By circumventing the difficulty of obtaining exact string state solutions to
Bethe ansatz equations, we devise a truncated string state space approach for
investigating spin dynamics in a nonintegrable spin-1/2 Heisenberg
chain subjected to a staggered field at various magnetizations. The obtained
dynamical spectra reveal a series of elastic peaks at integer multiples of the
ordering wave vector Q, indicating the presence of multi-Q Bethe string
states within the ground state. The spectrum exhibits a separation between
different string continua as the strength of the staggered field increases at
low magnetization, reflecting the confinement of the Bethe strings. This
approach provides a unified string-state-based framework for understanding spin
dynamics in low-dimensional nonintegrable Heisenberg models, which has a
successful application to observations across various phases of the
quasi-one-dimensional antiferromagnet YbAlO_3.
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