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
- Submissions/Reports
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.
Cited by 11
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Satoshi Ejima,
- 2 Tomoki Yamaguchi,
- 3 Fabian Essler,
- 1 Florian Lange,
- 2 Yukinori Ohta,
- 1 Holger Fehske
- 1 Ernst-Moritz-Arndt-Universität Greifswald / University of Greifswald
- 2 千葉大学 / Chiba University
- 3 Rudolf Peierls Centre for Theoretical Physics, University of Oxford
- 千葉大学 / Chiba University
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Engineering and Physical Sciences Research Council [EPSRC]
- Erwin Schrödinger International Institute for Mathematics and Physics [ESI]
- 日本学術振興会 / Japan Society for the Promotion of Science [JSPS]
- National Science Foundation [NSF]