# Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy

### Submission summary

 As Contributors: Satoshi Ejima · Fabian Essler Arxiv Link: https://arxiv.org/abs/1810.02195v2 Date accepted: 2018-12-03 Date submitted: 2018-11-20 Submitted by: Ejima, Satoshi Submitted to: SciPost Physics Domain(s): Theor. & Comp. Subject area: Condensed Matter Physics - Theory

### 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.

### Submission & Refereeing History

Resubmission 1810.02195v2 on 20 November 2018
Submission 1810.02195v1 on 5 October 2018

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