Reflection Positivity for Parafermions

Abstract

We establish reflection positivity for Gibbs trace states for a class of gauge-invariant, reflection-invariant Hamiltonians describing parafermion interactions on a lattice. We relate these results to recent work in the condensed-matter physics literature.

15 pages

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Genons, twist defects, and projective non-Abelian braiding statistics
• Fractional topological superconductors with fractionalized Majorana fermions
• Reflection positivity and phase transitions in lattice spin models
• A selection of nonequilibrium issues

Cited by in corpus (2)

• Energy spectrum and critical exponents of the free parafermion $Z_N$ spin chain
• Projective symmetry group classification of $Z_3$ parafermion spin liquids on a honeycomb lattice