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

Ejima, Satoshi; Yamaguchi, Tomoki; Essler, Fabian; Lange, Florian; Ohta, Yukinori; Fehske, Holger

doi:10.21468/SciPostPhys.5.6.059

SciPost Physics

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

Satoshi Ejima, Tomoki Yamaguchi, Fabian H. L. Essler, Florian Lange, Yukinori Ohta, Holger Fehske

SciPost Phys. 5, 059 (2018) · published 7 December 2018

doi: 10.21468/SciPostPhys.5.6.059
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.6.059
TI  - Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy
PY  - 2018/12/07
UR  - https://www.scipost.org/SciPostPhys.5.6.059
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 6
SP  - 059
A1  - Ejima, Satoshi
AU  - Yamaguchi, Tomoki
AU  - Essler, Fabian
AU  - Lange, Florian
AU  - Ohta, Yukinori
AU  - Fehske, Holger
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.5.6.059,
	title={{Exotic criticality in the dimerized spin-1 $XXZ$ chain with single-ion anisotropy}},
	author={Satoshi Ejima and Tomoki Yamaguchi and Fabian H. L. Essler and Florian Lange and Yukinori Ohta and Holger Fehske},
	journal={SciPost Phys.},
	volume={5},
	pages={059},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.6.059},
	url={https://scipost.org/10.21468/SciPostPhys.5.6.059},
}

Cited by 10

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¹ Satoshi Ejima,
² Tomoki Yamaguchi,
³ Fabian Essler,
¹ Florian Lange,
² Yukinori Ohta,
¹ Holger Fehske

Funders for the research work leading to this publication