Dimerization in quantum spin chains via a probabilistic representation
5th March 2021, 3:15 pm – 4:15 pm
Dimerization is a form of symmetry breaking which can occur in quantum spin chains, where translation symmetry is broken. In this talk, I will first give an introduction to this phenomenon, after which I will discuss a recent proof that dimerization occurs in a certain class of spin chains. Our proof relies on a probabilistic representation of the model in terms of random loops, and on a cluster expansion.
Based on the joint work https://arxiv.org/abs/2101.11464 with Peter Mühlbacher, Bruno Nachtergaele and Daniel Ueltschi.