3 papers
cond-mat.str-el2026
Temperley-Lieb integrable models and fusion categories
Matthew Blakeney, Luke Corcoran, Marius de Leeuw +2
We show that every fusion category containing a non-invertible, self-dual object gives rise to an integrable anyonic chain whose Hamiltonian density satisfies the Temperley-Lie…
cond-mat.stat-mech2025
Strong zero modes in integrable spin-S chains
Fabian H. L. Essler, Paul Fendley, Eric Vernier
We derive exact strong zero mode (ESZM) operators for integrable spin-S chains with open boundary conditions and a boundary field. Their locality properties are generally weaker th…
cond-mat.stat-mech2025
XYZ integrability the easy way
Paul Fendley, Sascha Gehrmann, Eric Vernier +1
Sutherland showed that the XYZ quantum spin-chain Hamiltonian commutes with the eight-vertex model transfer matrix, so that Baxter's subsequent tour de force proves the integrabili…