skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Elaborating the phase diagram of spin-1 anyonic chains

Abstract

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

Authors:
 [1];  [2];  [3]
  1. Istituto Nazionale di Fisica Nucleare Sezione di Bologna, National Institute of Nuclear Physics (at SISSA)
  2. CEA Saclay, French National Centre for Scientific Research, Sorbonne University, École Normale Supérieure
  3. CEA Saclay, University of Southern California
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1373331
Grant/Contract Number:  
FG03-01ER45908
Resource Type:
Journal Article: Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 2 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

Vernier, Eric, Jacobsen, Jesper, and Saleur, Hubert. Elaborating the phase diagram of spin-1 anyonic chains. Country unknown/Code not available: N. p., 2017. Web. doi:10.21468/SciPostPhys.2.1.004.
Vernier, Eric, Jacobsen, Jesper, & Saleur, Hubert. Elaborating the phase diagram of spin-1 anyonic chains. Country unknown/Code not available. doi:10.21468/SciPostPhys.2.1.004.
Vernier, Eric, Jacobsen, Jesper, and Saleur, Hubert. Tue . "Elaborating the phase diagram of spin-1 anyonic chains". Country unknown/Code not available. doi:10.21468/SciPostPhys.2.1.004.
@article{osti_1373331,
title = {Elaborating the phase diagram of spin-1 anyonic chains},
author = {Vernier, Eric and Jacobsen, Jesper and Saleur, Hubert},
abstractNote = {We revisit the phase diagram of spin-1 su(2)_k s u ( 2 ) k anyonic chains, originally studied by Gils et. al. . 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 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.},
doi = {10.21468/SciPostPhys.2.1.004},
journal = {SciPost Physics},
number = 1,
volume = 2,
place = {Country unknown/Code not available},
year = {Tue Feb 21 00:00:00 EST 2017},
month = {Tue Feb 21 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.21468/SciPostPhys.2.1.004

Save / Share: