Upcoming Talks

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Phase diagram of spin 1 systems

Date
Thursday, June 22, 2017 16:00 - 18:00
Speaker
Daniel Ueltschi (University of Warwick)
Location
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Robert Seiringer
Contact
Lab building west seminar room

Systems of spin 1 have a rich phase diagram that includes ferromagnetic, antiferromagnetic, and spin nematic phases (in dimensions three and higher). They can be studied with the help of graphical (random loop) representations, introduced by Tóth and Aizenman-Nachtergaele. The existence of phase transitions can be proved using the method of reflection positivity and infrared bounds.
I will explain a recent conjecture about the joint distribution of the lengths of long loops ("Poisson-Dirichlet") and how this conjecture helps to identify the extremal Gibbs states.


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