Jules Lamers (Chalmers) : The structure in the temperate region of the F-model with domain-wall boundaries

Thursday, 20 April 2017 from to (Europe/Brussels)
at MdeHemptinne ( CYCL05 )
chemin du Cyclotron 2
The F-model for 'antiferroelectric' materials is a special case (a = b < c) of the six-vertex model from classical statistical physics. Domain walls are a particularly interesting choice of boundary conditions that allow for a lot of analytic control, both at finite size and for macroscopically large systems. To complement results obtained using quantum integrability and other techniques, R. Keesman and I have performed a numerical (Monte-Carlo) study for moderate system size, up to L = 512. Our data are perfectly consistent with known exact results, and uncover an intricate structure in the 'temperate region' of the lattice.  In this seminar I will give a white-board introduction to the model and everything that is needed in order to appreciate the pictures that I will present towards the end. Based on arXiv:1702.05474 and ongoing research.
Organised by Alexi Morin-Duchesne