Liquid Crystals and the Heilmann-Lieb model
ICMP 2018, Montreal, Quebec, Canada
July 27, 2018
In 1979, O.Heilmann and E.H. Lieb introduced an interacting dimer model with the goal of proving the emergence of a nematic liquid crystal phase in it. In such a phase, dimers spontaneously align, but there is no long range translational order. Heilmann and Lieb proved that dimers do, indeed, align, and conjectured that there is no translational order. I will discuss a recent proof of this conjecture. This is joint work with Elliott H. Lieb.
- tarball: 18icmp-1.0.tar.gz
- git repository: 18icmp-git (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).
This presentation is based on
[JL17c]: Nematic liquid crystal phase in a system of interacting dimers and monomers
Ian Jauslin, Elliott H. Lieb, 2017
(published in Communications in Mathematical Physics, volume 363, issue 3, pp 955-1002)