Inhomogeneous field theory inside the arctic circle
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 …
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 …
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 …
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 …
model with domain wall boundary conditions. The correlation functions and the height …
Field-tuned order by disorder in frustrated ising magnets with antiferromagnetic interactions
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 …
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 …
of two-dimensional lattice statistical mechanics models that exhibit a phase separation …
Magnetic Arctic Circle in a Square Ice Qubit Lattice
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 …
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 …
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 …
structure impede the spins to order in optimal configurations at zero temperature. The …
Numerical study of the model with domain-wall boundaries
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 …
exact results are known for this particular case of the six-vertex model, including closed …