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

Abstract:
We consider the dimerized spin-1 X X Z 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/scipostphys.5.6.059

Authors


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Role:
Author
ORCID:
0000-0001-5331-9961
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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0002-1127-5830


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Funding agency for:
Lange, F
Grant:
FE 398/8-1
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Funding agency for:
Ohta, Y
Grant:
17K05530
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Funding agency for:
Essler, F
Grant:
PHY-1748958
More from this funder
Funding agency for:
Essler, F
Grant:
PHY-1748958


Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
5
Issue:
6
Article number:
059
Publication date:
2018-12-07
Acceptance date:
2018-12-03
DOI:
EISSN:
2542-4653


Pubs id:
pubs:953034
UUID:
uuid:e5ff8e41-7354-4bfe-855b-f14311db7d02
Local pid:
pubs:953034
Source identifiers:
953034
Deposit date:
2018-12-17

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