SciPost Submission Page
Self-dual $S_3$-invariant quantum chains
by Edward O'Brien, Paul Fendley
- Published as SciPost Phys. 9, 088 (2020)
|As Contributors:||Paul Fendley|
|Arxiv Link:||https://arxiv.org/abs/1912.09464v3 (pdf)|
|Date submitted:||2020-11-25 12:17|
|Submitted by:||Fendley, Paul|
|Submitted to:||SciPost Physics|
We investigate the self-dual three-state quantum chain with nearest-neighbor interactions and $S_3$, time-reversal, and parity symmetries. We find a rich phase diagram including gapped phases with order-disorder coexistence, integrable critical points with U(1) symmetry, and ferromagnetic and antiferromagnetic critical regions described by three-state Potts and free-boson conformal field theories respectively. We also find an unusual critical phase which appears to be described by combining two conformal field theories with distinct "Fermi velocities". The order-disorder coexistence phase has an emergent fractional supersymmetry, and we find lattice analogs of its generators.
Published as SciPost Phys. 9, 088 (2020)
Author comments upon resubmission
List of changes
We listed almost all of the changes in the reply to the referees' reports. In addition, we made a few more minor pedagogical improvements and corrected a few typos.
Submission & Refereeing History
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Reports on this Submission
Report 1 by Dirk Schuricht on 2020-11-28 (Invited Report)
- Cite as: Dirk Schuricht, Report on arXiv:1912.09464v3, delivered 2020-11-28, doi: 10.21468/SciPost.Report.2239
The authors have revised the manuscript and thereby increased its readability considerably. As far as I see they have addressed all the comments by the referees (except for one) and made good improvements accordingly. Thus in principle I support publication, but would like to ask again my previous question: At the end of Sec. 3 the authors state “the Fermi velocity vTCI in Figure 4 quite clearly is vanishing”, but to me the ratio of velocities in Fig. 4 stays finite everywhere. So how should I understand this? Maybe the authors still want to comment on this.