6 papers · 1 filter
The five-vertex model as a discrete log-gas
Filippo Colomo, Michelangelo Mannatzu, Andrei G. Pronko
We consider the five-vertex model on a rectangular domain of the square lattice, with the so-called `scalar-product' boundary conditions. We address the evaluation of the free-ener…
Symmetries of the periodic Fredkin chain
Andrei G. Pronko
The Fredkin chain is a spin- model with interaction of three nearest neighbors. In the case of periodic boundary conditions, the ground state is degenerate and can be describe…
Periodic Motzkin chain: Ground states and symmetries
Andrei G. Pronko
Motzkin chain is a model of nearest-neighbor interacting quantum spins with open boundary conditions. It is known that it has a unique ground state which can be viewed as a s…
Scaling limit of domino tilings on a pentagonal domain
Filippo Colomo, Andrei G. Pronko
We consider the six-vertex model at its free-fermion point with domain wall boundary conditions, which is equivalent to random domino tilings of the Aztec diamond. We compute the s…
Thermodynamics of the five-vertex model with scalar-product boundary conditions
Ivan N. Burenev, Andrei G. Pronko
We consider the homogeneous five-vertex model on a rectangle domain of the square lattice with so-called scalar-product boundary conditions. Peculiarity of these boundary condition…
Evaluation of integrals for the emptiness formation probability in the square-ice model
Filippo Colomo, Andrei G. Pronko
We study the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. We present a conjecture according to which at the ice point, i.e.,…