Dynamical Correlation Functions of One-Dimensional Anisotropic Heisenberg Model with Spin 1/2. Idoi:10.1143/PTP.63.743Dynamics of one-dimensional Ising-like (strongly anisotropic) antiferromagnets is studied by
particularchoiceofparameters,correspondingtothestronglyspin-anisotropickineticIsingmodel introducedbyMajumdaretal.Typically,disordereffectsbecomeevidentforimpuritystrengths suchthatdiffusionisnearlyblocked.Inthisregime,thecriticalbehaviorissimilartothatarising, forexample,intheone-dimensionaldilutedcontactprocess,withGr...
The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is...
We consider the phase separation problem for the one-dimensional ferromagnetic Ising model with long–range two–body interaction, J(n)=n−2+α where n∈N denotes the distance of the two spins and α∈]0,α+[ with α+=(log3)/(log2)−1. We prove that given m∈]−1,+...
where [⋅]+ denotes the positive part, and c(⋅,⋅) is its connectivity matrix that is equal to 1/|Λ| in case the two configurations σ and η coincide up to the value of a single spin, and zero otherwise. Notice that such dynamics is reversible with respect to the Gibbs measu...
Bond-moving transformations for continuous-spin systems 1985, Physica A: Statistical Mechanics and its Applications Show abstract Exact renormalization transformation for the one-dimensional ising model with finite range interaction 1977, Physica A: Statistical Mechanics and its Applications Show abstract Gaug...
quantized spin modelsnumerical simulation studiesWe construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains. We focus on itinerant Ising (Majorana) and Fibonacci anyons, which are, respectively, related to SU(2)_2 and SU(2)_3 anyons and also, respectively,...
The interactions within a given layer consists of weakly coupled spin chains with a relatively strong intrachain coupling resulting from direct exchange. This can be mapped onto the rectangular Ising model, considered by Onsager10. Onsager and others10–12 found that when the interchain coupling is...
(BI and MI) with different temperature scaling or a power-law suppression of the density of states in the LL case. Both transport and STM have recently been successfully put forward in the twisted van der Waals material’s context2,3,4,5,6. Furthermore, specific heat and spin-spin ...
1. Critical properties of ferromagnetic spin system with random crystal field; 随机晶场作用的铁磁自旋系统的临界特性 2. In the frame of Ising model, we investigate the critical properties of bond dilution ferromagnetic spin system with random crystal field and obtain the magnetization expressions by...