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arXiv · 1912.09464

Self-dual $S_3$-invariant quantum chains

Edward O'Brien·Paul Fendley
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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.

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BibTeXRIS

Edward O'Brien, Paul Fendley. 2019-12-19. Self-dual $S_3$-invariant quantum chains. https://doi.org/10.21468/scipostphys.9.6.088

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