The Quantum XXZ Spin Model on General Graphs


February 2, 2018 | 2:30 - 3:30 p.m.


Campbell Hall 443


Christoph Fischbacher, UAB


We consider the XXZ spin model on general graphs and show its equivalence to a direct sum of discrete many-particle Schrödinger operators of hard-core bosons with an attractive interaction that can be expressed with the help of symmetric graph products. We discuss the existence of a lowest separated energy band (the droplet band), where we focus on the XXZ model on the strip and on Z^d, which are not exactly solvable with the Bethe ansatz. This is joint work with G. Stolz.