2 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
Conformally invariant boundary arcs in double dimers
Marcin Lis, Lucas Rey, Kieran Ryan
We consider two different versions of the double dimer model on a planar domain, where we either fold a single dimer cover on a symmetric domain onto itself across the line of symm…
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…
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 …
The Manhattan and Lorentz Mirror Models -- A result on the Cylinder with low density of mirrors
Kieran Ryan
We study the Manhattan and Lorentz Mirror models on an infinite cylinder of finite even width , with the mirror probability satisfying , a constant. We use th…