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Self-dual S3-invariant quantum chains

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/scipostphys.9.6.088

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Institution:
University of Oxford
Role:
Author


Publisher:
Stichting SciPost
Journal:
SciPost Physics More from this journal
Volume:
9
Issue:
6
Article number:
88
Publication date:
2020-12-16
Acceptance date:
2020-12-10
DOI:
EISSN:
2542-4653


Language:
English
Keywords:
Pubs id:
1157546
Local pid:
pubs:1157546
Deposit date:
2021-01-20

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