Self-dual $S_3$-invariant quantum chains
Year: 2020
Type: article
Abstract: We investigate the self-dual three-state quantum chain with nearest-neighbor interactions and S_3 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) 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.
Source: SciPost Physics
Authors: Edward O'Brien, Paul Fendley
Institution: University of Oxford
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2996323550