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

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Cited by in corpus (15)

• Free fermionic and parafermionic quantum spin chains with multispin interactions
• Free fermions behind the disguise
• Integrable quantum spin chains with free fermionic and parafermionic spectrum
• Planar Para Algebras, Reflection Positivity
• Characterization of Reflection Positivity: Majoranas and Spins
• Ground State Degeneracy of Interacting Spinless Fermions
• Energy spectrum and critical exponents of the free parafermion $Z_N$ spin chain
• Holographic Software for Quantum Networks
• Quantum Griffiths inequalities
• A Mathematical Picture Language Program
• Some ground-state expectation values for the free parafermion Z(N) spin chain
• A Brief History of Free Parafermions
• Modeling electron fractionalization with unconventional Fock spaces
• Projective symmetry group classification of $Z_3$ parafermion spin liquids on a honeycomb lattice
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model