Elaborating the phase diagram of spin-1 anyonic chains

被引：5

作者：

Vernier, Eric ^{[1
,2
]}

Jacobsen, Jesper Lykke ^{[3
,4
,5
]}

Saleur, Hubert ^{[5
,6
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] INFN, Sez Trieste, Via Bonomea 265, I-34136 Trieste, Italy

[3] PSL Res Univ, Ecole Normale Super, LPTENS, 24 Rue Lhomond, F-75231 Paris 05, France

[4] UPMC Univ Paris 6, CNRS, UMR 8549, Sorbonne Univ, F-75005 Paris, France

[5] CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France

[6] USC, Dept Phys, Los Angeles, CA 90089 USA

来源：

SCIPOST PHYSICS | 2017年 / 2卷 / 01期

关键词：

POTTS-MODEL; ANTIFERROMAGNETIC TRANSITION; CONFORMAL-INVARIANCE; DIMENSIONS; FERMIONS; STATES;

D O I：

10.21468/SciPostPhys.2.1.004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We revisit the phase diagram of spin-1 su(2)(k) anyonic chains, originally studied by Gils et. al. [9]. 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.

引用

页数：27

共 50 条

[1] Anyonic quantum spin chains: Spin-1 generalizations and topological stability
Gils, C.
Ardonne, E.
Trebst, S.
Huse, D. A.
Ludwig, A. W. W.
Troyer, M.
Wang, Z.
[J]. PHYSICAL REVIEW B, 2013, 87 (23)
[2] Phase diagram of spin-1 chains with Dzyaloshinskii-Moriya interaction
Tschirhart, Hugo
Ong, Ernest T. S.
Sengupta, Pinaki
Schmidt, Thomas L.
[J]. PHYSICAL REVIEW B, 2019, 100 (19)
[3] PHASE-DIAGRAM OF THE GROUND-STATE OF SPIN-1 QUANTUM CHAINS
CHUI, ST
MA, KB
[J]. PHYSICAL REVIEW B, 1984, 29 (03): : 1287 - 1291
[4] Multipolar phase in frustrated spin-1/2 and spin-1 chains
Parvej, Aslam
Kumar, Manoranjan
[J]. PHYSICAL REVIEW B, 2017, 96 (05)
[5] Controlling the phase diagram of finite spin-1/2 chains by tuning the boundary interactions
Ran, Shi-Ju
Peng, Cheng
Su, Gang
Lewenstein, Maciej
[J]. PHYSICAL REVIEW B, 2018, 98 (08)
[6] The phase diagram of the biaxial spin-1 Ising system
Boughrara, M.
Kerouad, M.
Saber, M.
Baldomir, D.
[J]. CHINESE JOURNAL OF PHYSICS, 2007, 45 (01) : 75 - 83
[7] Phase Diagram of the Spin-1/2 Kagome Strip
Donkov, A. A.
Ivanov, N. B.
Richter, J.
[J]. 10TH JUBILEE CONFERENCE OF THE BALKAN PHYSICAL UNION, 2019, 2075
[8] Quantum phase transitions in spin-1 compass chains
Liu, Guang-Hua
Kong, Long-Juan
You, Wen-Long
[J]. EUROPEAN PHYSICAL JOURNAL B, 2015, 88 (11): : 1 - 6
[9] Quantum phase transitions in spin-1 compass chains
Guang-Hua Liu
Long-Juan Kong
Wen-Long You
[J]. The European Physical Journal B, 2015, 88
[10] Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain
Saguia, A
Boechat, B
Continentino, MA
[J]. PHYSICAL REVIEW LETTERS, 2002, 89 (11)

← 1 2 3 4 5 →