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math.PR2026
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…
math.PR2026
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…