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math.PR2023
Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models
Alexander Glazman, Piet Lammers
We prove the existence of macroscopic loops in the loop O(2) model with or, equivalently, delocalisation of the associated integer-valued Lipschitz function…
math.PR2023★ 2 cited
Bijecting the BKT transition
Piet Lammers
We consider the classical XY model (or classical rotor model) on the two-dimensional square lattice graph as well as its dual model, which is a model of height functions. The XY mo…