Inhomogeneous field theory inside the arctic circle

N Allegra, J Dubail, JM Stéphan… - Journal of Statistical …, 2016 - iopscience.iop.org
Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic
particles evolving in imaginary-time from a domain-wall initial state is solved. The main …

Arctic curves of the six-vertex model on generic domains: the tangent method

F Colomo, A Sportiello - Journal of Statistical Physics, 2016 - Springer
We revisit the problem of determining the Arctic curve in the six-vertex model with domain
wall boundary conditions. We describe an alternative method, by which we recover the …

Arctic boundaries of the ice model on three-bundle domains

A Aggarwal - Inventiones mathematicae, 2020 - Springer
In this paper we consider the six-vertex model at ice point on an arbitrary three-bundle
domain, which is a generalization of the domain-wall ice model on the square (or …

The two-point correlation function in the six-vertex model

P Belov, N Reshetikhin - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
We study numerically the two-point correlation functions of height functions in the six-vertex
model with domain wall boundary conditions. The correlation functions and the height …

Field-tuned order by disorder in frustrated ising magnets with antiferromagnetic interactions

PC Guruciaga, M Tarzia, MV Ferreyra… - Physical Review Letters, 2016 - APS
We demonstrate the appearance of thermal order by disorder in Ising pyrochlores with
staggered antiferromagnetic order frustrated by an applied magnetic field. We use a mean …

Inhomogeneous Gaussian free field inside the interacting arctic curve

E Granet, L Budzynski, J Dubail… - Journal of Statistical …, 2019 - iopscience.iop.org
The six-vertex model with domain-wall boundary conditions is one representative of a class
of two-dimensional lattice statistical mechanics models that exhibit a phase separation …

Magnetic Arctic Circle in a Square Ice Qubit Lattice

AD King, J Coraux, B Canals, N Rougemaille - Physical Review Letters, 2023 - APS
Under certain boundary conditions, the square ice model exhibits a phase separation in
which the core of the system is disordered while its outer region remains ordered. This …

Arctic curves of the twenty-vertex model with domain wall boundaries

B Debin, P Di Francesco, E Guitter - Journal of Statistical Physics, 2020 - Springer
We use the tangent method to compute the arctic curve of the Twenty-Vertex (20V) model
with particular domain wall boundary conditions for a wide set of integrable weights. To this …

Artificial spin-ice and vertex models

LF Cugliandolo - Journal of Statistical Physics, 2017 - Springer
In classical and quantum frustrated magnets the interactions in combination with the lattice
structure impede the spins to order in optimal configurations at zero temperature. The …

Numerical study of the model with domain-wall boundaries

R Keesman, J Lamers - Physical Review E, 2017 - APS
We perform a numerical study of the F model with domain-wall boundary conditions. Various
exact results are known for this particular case of the six-vertex model, including closed …