A structural test for the conformal invariance of the critical 3d Ising model
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2019)115
Abstract: How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current — a non-conserved vector operator of dimension exactly… read more here.
Keywords: conformal invariance; ising model; model; critical ising ... See more keywords
Ising Model: Local Spin Correlations and Conformal Invariance
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03312-y
Abstract: We study the 2-dimensional Ising model at critical temperature on a simply connected subset $${\Omega_{\delta}}$$Ωδ of the square grid $${\delta\mathbb{Z}^{2}}$$δZ2. The scaling limit of the critical Ising model is conjectured to be described by Conformal… read more here.
Keywords: model local; model; ising model; conformal invariance ... See more keywords
Conformal Invariance of Boundary Touching Loops of FK Ising Model
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03437-0
Abstract: In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at criticality, as the lattice mesh tends to zero, to a unique conformally invariant scaling limit. The… read more here.
Keywords: sle kappa; process; loop ensemble; ising model ... See more keywords
A planar Ising model of self-organized criticality
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DOI: 10.1007/s00440-021-01025-9
Abstract: We consider the planar Ising model in a finite square box and we replace the temperature parameter with a function depending on the magnetization. This creates a feedback from the spin configuration onto the parameter,… read more here.
Keywords: self organized; planar ising; model self; ising model ... See more keywords
Critical Behavior of the Annealed Ising Model on Random Regular Graphs
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-017-1879-7
Abstract: In Giardinà et al. (ALEA Lat Am J Probab Math Stat 13(1):121–161, 2016), the authors have defined an annealed Ising model on random graphs and proved limit theorems for the magnetization of this model on… read more here.
Keywords: graphs; random regular; regular graphs; model random ... See more keywords
Large Deviations for the Annealed Ising Model on Inhomogeneous Random Graphs: Spins and Degrees
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2027-8
Abstract: We prove a large deviations principle for the total spin and the number of edges under the annealed Ising measure on generalized random graphs. We also give detailed results on how the annealing over the… read more here.
Keywords: random graphs; ising model; annealed ising; large deviations ... See more keywords
One Dimensional Phase-Ordering in the Ising Model with Space Decaying Interactions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02313-4
Abstract: The study of the phase ordering kinetics of the ferromagnetic one-dimensional Ising model dates back to 1963 (R. J. Glauber, J. Math. Phys. 4, 294) for non conserved order parameter (NCOP) and to 1991 (S.… read more here.
Keywords: sigma; tiny hbox; case; hbox ... See more keywords
Exponential Decay of Correlations in the 2D Random Field Ising Model
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02401-5
Abstract: An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the… read more here.
Keywords: exponential decay; random field; field ising; ising model ... See more keywords
Asymptotic Exponential Law for the Transition Time to Equilibrium of the Metastable Kinetic Ising Model with Vanishing Magnetic Field
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DOI: 10.1007/s10955-019-02463-5
Abstract: We consider a Glauber dynamics associated with the Ising model on a large two-dimensional box with minus boundary conditions and in the limit of a vanishing positive external magnetic field. The volume of this box… read more here.
Keywords: transition; field; time; ising model ... See more keywords
Uniform Bound of the Entanglement for the Ground State of the Quantum Ising Model with Large Transverse Magnetic Field
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DOI: 10.1007/s10955-020-02501-7
Abstract: We consider the ground state of the quantum Ising model with transverse field h in one dimension in a finite volume $$\begin{aligned} \Lambda {_{m}:=\{-m,-m+1,\ldots ,m+L\}.} \end{aligned}$$ Λ m : = { - m , -… read more here.
Keywords: quantum ising; state quantum; uniform bound; ising model ... See more keywords
Spin-1/2 Ising model on a AFM/FM two-layer Bethe lattice in a staggered magnetic field
Sign Up to like & getrecommendations! Published in 2018 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2018.04.008
Abstract: Abstract A bilayer spin-1/2 Ising model consisting of two superposed Bethe lattices with antiferromagnetic/ferromagnetic interactions is studied by the use of exact recursion relations in a pairwise approach in the presence of an external staggered… read more here.
Keywords: staggered magnetic; model; bethe; ising model ... See more keywords