XY modelKosterlitz-Thouless transitionfinite size scalingThe critical coarsening dynamics of the spin S =1/2, 3/2 antiferromagnetic Ising model on a triangular lattice is studied by the dynamic Monte Carlo simulation using a heat bath algorithm. The triangular antiferromagnetic Ising (TAI) model ...
We investigate the quantum dynamics of the antiferromagnetic transverse field Ising model on the triangular lattice through large-scale quantum Monte Carlo simulations and stochastic analytic continuation. This model effectively describes a series of triangular rare-earth compounds, for example, TmMgGaO4. ...
The Ising model on an alternating triangular lattice with the nearest-neighbor interaction in a magnetic field is presented. Exact solution of this model is found. The thermodynamic quantities, like free energy, specific heat a finite temperature and function correlaction, are calculated by treatment...
The exact integer values for the density of states of the Ising model on an equilateral triangular lattice with free boundary conditions are evaluated up to L = 24 spins on a side for the first time by using the microcanonical transfer matrix. The total number of states is 2 N s = 2300...
Different types of lattice and the neighbor coordination used in the Ising model, (a) 2D square lattice, (b) 2D triangular lattice, (c) 3D simple cubic lattice. Ideally the type of lattice should have no physical significance to the system being simulated and should not influence the ...
Indeed, the 2D Transverse Field Ising Model (TFIM) on an AFM triangular lattice turned out to have a quantum critical point in the 3D XY universality class (Fig. 1a)3,11,12. Similarly, the TFIM on a fully frustrated square lattice, known as the Villain model13, was shown to share ...
The analytic properties of the Baxter-Wu solution for the Ising model with pure triplet interactions on the triangular lattice are investigated. In particular, it is shown that the free energy per spin of the model can be written in the explicit form $-(F/k_{B}T)$ = (2|J|/$k_{B}...
In the ab-plane, the chains form a triangular-type lattice1 (see Fig. 1). The intra-chain Co–Co coupling is ferromagnetic, while the inter-chain coupling is antiferromagnetic2. The unusual magnetic properties, along with its Ising-like character4,6,18, are linked to the geometrically ...
. The SLH is a simple yet fundamental quantum lattice model of interacting spins, and hence of great interest on its own. It can be derived as the large U limit of the Hubbard model at half-filling [34]. There exists true long-range Néel order in the ground state of SLH [35–38]...
The magnetocaloric response of the mixed spin-1/2 and spin-S (𝑆>1/2) Ising model on a decorated square lattice is thoroughly examined in presence of the transverse magnetic field within the generalized decoration-iteration transformation, which provides an exact mapping relation with an effective...