Elaborating the phase diagram of spin-1 anyonic chains

Vernier, Eric; Jacobsen, Jesper Lykke; Saleur, Hubert

doi:10.21468/SciPostPhys.2.1.004

SciPost Physics

Elaborating the phase diagram of spin-1 anyonic chains

Eric Vernier, Jesper Lykke Jacobsen, Hubert Saleur

SciPost Phys. 2, 004 (2017) · published 21 February 2017

doi: 10.21468/SciPostPhys.2.1.004
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Abstract

We revisit the phase diagram of spin-1 $su(2)_k$ anyonic chains, originally studied by Gils {\it et. al.} [Phys. Rev. B, {\bf 87} (23) (2013)]. These chains possess several integrable points, which were overlooked (or only briefly considered) so far. Exploiting integrability through a combination of algebraic techniques and exact Bethe ansatz results, we establish in particular the presence of new first order phase transitions, a new critical point described by a $Z_k$ parafermionic CFT, and of even more phases than originally conjectured. Our results leave room for yet more progress in the understanding of spin-1 anyonic chains.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.2.1.004
TI  - Elaborating the phase diagram of spin-1 anyonic chains
PY  - 2017/02/21
UR  - https://scipost.org/SciPostPhys.2.1.004
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 2
IS  - 1
SP  - 004
A1  - Vernier, Eric
AU  - Jacobsen, Jesper Lykke
AU  - Saleur, Hubert
AB  - We revisit the phase diagram of spin-1 $su(2)_k$ anyonic chains, originally studied by Gils {\it et. al.} [Phys. Rev. B, {\bf 87} (23) (2013)]. These chains possess several integrable points, which were overlooked (or only briefly considered) so far. Exploiting integrability through a combination of algebraic techniques and exact Bethe ansatz results, we establish in particular the presence of new first order phase transitions, a new critical point described by a $Z_k$ parafermionic CFT, and of even more phases than originally conjectured. Our results leave room for yet more progress in the understanding of spin-1 anyonic chains.
ER  -

@Article{10.21468/SciPostPhys.2.1.004,
	title={{Elaborating the phase diagram of spin-1 anyonic chains}},
	author={Eric Vernier and Jesper Lykke Jacobsen and Hubert Saleur},
	journal={SciPost Phys.},
	volume={2},
	pages={004},
	year={2017},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.2.1.004},
	url={https://scipost.org/10.21468/SciPostPhys.2.1.004},
}

Cited by 7

Ontology / Topics

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Anyonic chains Bethe Ansatz First-order phase transitions Integrability/integrable models Parafermions

Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² Eric Vernier,
³ ⁴ ⁵ ⁶ Jesper Lykke Jacobsen,
⁴ ⁷ Hubert Saleur

Funders for the research work leading to this publication