Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy
SciPost Physics Stichting SciPost 5:6 (2018) 059
Authors:
Satoshi Ejima, Tomoki Yamaguchi, Fabian Essler, Florian Lange, Yukinori Ohta, Holger Fehske
Abstract:
We consider the dimerized spin-1 XXZ chain with single-ion
anisotropy D.
In absence of an explicit dimerization there are three
phases: a large-$D$, an antiferromagnetically ordered and a Haldane
phase. This phase structure persists up to a critical dimerization,
above which the Haldane phase disappears. We show that for weak
dimerization the phases are separated by Gaussian and Ising quantum
phase transitions. One of the Ising transitions terminates in a
critical point in the universality class of the dilute Ising
model. We comment on the relevance of our results to experiments on
quasi-one-dimensional anisotropic spin-1 quantum magnets.
