Journal of the Physical Society of Japan
First-Order Phase Transition in theS=1Quantum Spin Chain with Partial Integrability
Ryutaro Sato, Yasuhiro Akutsu
Abstract
The zero-temperature magnetization curve of the S =1 antiferromagnetic XXZ chain with partial integrability is studied by the Bethe ansatz, combined with a numerical renormalization-group method. We find a magnetic first-order phase transition; the magnetization curve shows a discontinuity at a critical field h c . Due to the partial integrability, the low-field curve and the high-field curve each correspond to a part of the magnetization curve of the \(S=\frac12\)XXZ chain. We conclude that the obtained magnetization curve is exact in the whole range of the magnetic field.