Self-dual $S_3$-invariant quantum chains
Edward O'Brien, Paul Fendley
SciPost Phys. 9, 088 (2020) · published 16 December 2020
- doi: 10.21468/SciPostPhys.9.6.088
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.
Cited by 1
Wang et al., From the transverse field Ising chain to the quantum <i>E</i><sub>8</sub> integrable model
Acta Phys. Sin. 70, 230504 (2021) [Crossref]
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Edward O'Brien,
- 1 2 Paul Fendley
- 1 Rudolf Peierls Centre for Theoretical Physics, University of Oxford
- 2 University of Oxford
- 3 All Souls College