1 citations · 1 across the 3 of their papers we have counts for
4 papers · 1 filter
The BKT transition and surface tension differentiability
Thibault Durand, Piet Lammers
Under the duality between the two-dimensional XY model and an integer-valued height function, the BKT transition is expected to correspond to the disappearance of a corner in the s…
A dichotomy theory for the height functions of the BKT transition
Piet Lammers
This text considers the discrete height functions associated with the Berezinskii--Kosterlitz--Thouless transition (BKT) at slope zero. Our main results are as follows. * Sharpness…
Free energy analyticity of the disordered XY model and Debye screening in the 2D Coulomb gas
Lucas D'Alimonte, Piet Lammers
We consider three models of statistical mechanics: the classical XY model in arbitrary dimension, the lattice Coulomb gas in dimension two, and the square well model in arbitrary d…
Non-reversible stationary states for majority voter and Ising dynamics on trees
Piet Lammers, Fabio Toninelli
We study three Markov processes on infinite, unrooted, regular trees: the stochastic Ising model (also known as the Glauber heat bath dynamics of the Ising model), a majority voter…