Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model (2005)
Izmailian, N. Sh., Priezzhev, V. B., Ruelle, Philippe, Hu, Chin-Kun
We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a...
Universal Finite-size Scaling Functions with Exact Non-universal Metric Factors (2003)
Wu, Ming-Chya, Hu, Chin-Kun, Izmailian, N. Sh.
Using exact partition functions and finite-size corrections for the Ising model on finite square, plane triangular, and honeycomb lattices, we obtain universal finite-size scaling functions for the...
Izmailian, N. Sh., Oganesyan, K. B., Hu, Chin-Kun
Finite-size scaling, finite-size corrections, and boundary effects for critical systems have attracted much attention in recent years. Here we derive exact finite-size corrections for the free energy...
Ivashkevich, E. V., Izmailian, N. Sh., Hu, Chin-Kun
For the free models of statistical mechanics on torus, exact asymptotic expansions of the free energy, the internal energy and the specific heat in the vicinity of the critical point are found. It is...
Exact Universal Amplitude Ratios for Two-Dimensional Ising Models and a Quantum Spin Chain (2000)
Izmailian, N. Sh., Hu, Chin-Kun
We have derived analytic expressions for the amplitudes of correction terms in the critical free energy and inverse correlation length expansions for square, honeycomb, and plane-triangular lattices...
Izmailian, N. Sh., Hu, Chin-Kun
Let f, U and C represent, respectively, the free energy, the internal energy and the specific heat of the critical Ising model on the square M x N lattice with periodic boundary conditions. We find...
Exact solution of a Z(4) gauge Potts model on planar lattices (1999)
Ananikian, N. S., Ghulghazaryan, R. G., Izmailian, N. Sh., Shcherbakov, R. R.
The exact solution of a general Z(4) gauge Potts model with a single and double plaquette representation of the action is found on a subspace of gauge-coupling parameters on the square and triangular...
The 6-vertex model of hydrogen-bonded crystals with bond defects (1999)
Izmailian, N. Sh., Hu, Chin-Kun, Wu, F. Y.
It is shown that the percolation model of hydrogen-bonded crystals, which is a 6-vertex model with bond defects, is completely equivalent with an 8-vertex model in an external electric field. Using...
Geometry, thermodynamics, and finite-size corrections in the critical Potts model (1999)
Hu, Chin-Kun, Chen, Jau-Ann, Izmailian, N. Sh., Kleban, P.
We establish an intriguing connection between geometry and thermodynamics in the critical q-state Potts model on two-dimensional lattices, using the q-state bond-correlated percolation model (QBCPM)...
Exact phase diagrams for an Ising model on a two-layer Bethe lattice (1999)
Hu, Chin-Kun, Izmailian, N. Sh., Oganesyan, K. B.
Using an iteration technique, we obtain exact expressions for the free energy and the magnetization of an Ising model on a two - layer Bethe lattice with intralayer coupling constants J1 and J2 for...
Exact correlation functions of Bethe lattice spin models in external fields (1999)
Hu, Chin-Kun, Izmailian, N. Sh.
We develop a transfer matrix method to compute exactly the spin-spin correlation functions of Bethe lattice spin models in the external magnetic field h and for any temperature T. We first compute...
Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice (1998)
Ananikian, N. S., Ghulghazaryan, R. G., Izmailian, N. Sh.
We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable...
An Ising spin - S model on generalized recursive lattice (1998)
Ananikian, N. S., Izmailian, N. Sh., Oganessyan, K. A.
The Ising spin - S model on recursive p - polygonal structures in the external magnetic field is considered and the general form of the free energy and magnetization for arbitrary spin is derived....
Chaos in the Z(2) Gauge Model on a Generalized Bethe Lattice of Plaquettes (1997)
Ananikian, N. S., Dallakian, S. K., Izmailian, N. Sh., Oganessyan, K. A.
We investigate the Z(2) gauge model on a generalized Bethe lattice with three plaquette representation of the action. We obtain the cascade of phase transitions according to Feigenbaum scheme leading...
A Spin - 3/2 Ising Model on a Square Lattice (1996)
The spin - 3/2 Ising model on a square lattice is investigated. It is shown that this model is reducible to an eight - vertex model on a surface in the parameter space spanned by coupling constants...
Chaotic Repellers in Antiferromagnetic Ising Model (1995)
Ananikian, N. S., Dallakian, S. K., Izmailian, N. Sh., Oganessyan, K. A.
For the first time we present the consideration of the antiferromagnetic Ising model in case of fully developed chaos and obtain the exact connection between this model and chaotic repellers. We...