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math-ph2026
The spin-1/2 Heisenberg XXZ chain and the Lorentz mirror model with loop weight 2
Kieran Ryan
We prove that for the spin-1/2 Heisenberg XXZ chain in the range , the ground state on the torus of length converges to an infinite volume ground state $\langle\c…
math-ph2022★ 2 cited
Heisenberg models and Schur--Weyl duality
Jakob Björnberg, Hjalmar Rosengren, Kieran Ryan
We present a detailed analysis of certain quantum spin systems with inhomogeneous (non-random) mean-field interactions. Examples include, but are not limited to, the interchange- a…
math-ph2020★ 1 cited
On a class of orthogonal-invariant quantum spin systems on the complete graph
Kieran Ryan
We study a two-parameter family of quantum spin systems on the complete graph, which is the most general model invariant under the complex orthogonal group. In spin …