Pair Correlation Function in the Ising Square Lattice: Determinantal Form

Boundary correlation function of fixed-to-free bcc operators in square-lattice Ising model

Abstract. We calculate the boundary correlation function of fixed-to-free boundary condition changing operators in the square-lattice Ising model. The correlation function is expressed in four different ways using 2×2 block Toeplitz determinants. We show that these can be transformed into a scalar Toeplitz determinant when the size of the matrix is even. To know the asymptotic behavior of the c...

Pair Correlation Function Realizability: Lattice Model Implications†

Despite their long history in experiment, simulation, and analytical theory, pair correlation functions that describe local order in many-body systems still retain a legacy of mathematical mysteries. One such open question concerns “realizability” of a given candidate pair correlation function, namely whether it actually represents the pair correlation for some spatial distribution of particles...

Magnetic Properties in a Spin-1 Random Transverse Ising Model on Square Lattice

In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4),  ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...

Duality and even number spin-correlation functions in the Two dimensional square lattice Ising model

The Kramers-Wannier duality is shown to hold for all the even number spin correlation functions of the two dimensional square lattice Ising model in the sense that the high temperature (T > Tc) expressions for these correlation functions are transformed into the low temperature (T < Tc) expressions under this duality transformation. PACS: 05.70.Jk The two dimensional Ising model remains one of ...

Pair-correlation function in 2-dimensional lattice gases