Crossover from fractal lattice to Euclidean lattice for the residual entropy of an Ising antiferromagnet in maximum critical field

T Stoić, B Stoić, S Miloević, HE Stanley - Physical Review A, 1988 - APS
How thermodynamic properties of fractal objects cross over to the corresponding
thermodynamic properties of nonfractal ''Euclidean''objects is an open question of …

Ground-state entropy of Ising antiferromagnets with general spinS

D Hajduković, IM Savić, L Damjanović - Zeitschrift für Physik B Condensed …, 1984 - Springer
We present a simple method to obtain reliable ground-state entropies of Ising
antiferromagnets in a maximum critical field. As an example, the ground-state entropy for the …

Residual entropies of the Ising antiferromagnets on fractals: I. d-dimensional sierpinski gasket type of fractals

T Stošić, B Stošić, S Milošević, HE Stanley - Physica A: Statistical …, 1990 - Elsevier
We apply a new method to study the problem of the residual entropies of the
antiferromagnetic Ising systems, in the maximum critical field, situated on Sierpinski gasket …

The residual entropy for a class of one-dimensional classical lattice models

L Slegers - Journal of Physics A: Mathematical and General, 1988 - iopscience.iop.org
The zero-temperature limit of the characteristic equation of the transfer matrix is derived for
one-dimensional classical lattice systems with a finite one-point configuration space and …

Residual entropies of the Ising antiferromagnets on fractals: II. d-dimensional checkerboard type of fractals

T Stošić, B Stošić, S Milošević, HE Stanley - Physica A: Statistical …, 1990 - Elsevier
We study the residual entropies of the antiferromagnetic Ising systems, in the maximum
critical field, situated on checkerboard (CB) type of fractals embedded in d-dimensional …

Polynomial degeneracy for the first energy levels of the antiferromagnetic Ising model

A Jiménez - Annales de l'Institut Henri Poincaré D, 2021 - ems.press
In this work, we continue our investigation on the antiferromagnetic Ising model on
triangulations of closed Riemann surfaces. On the one hand, according to R. Moessner and …

Degenerated ground-states in a spin chain with pair interactions: a characterization by symbolic dynamics

LA Corona, R Salgado-García - Journal of Statistical Mechanics …, 2016 - iopscience.iop.org
In this paper we study a class of one-dimensional spin chain having a highly degenerated
set of ground-state configurations. The model consists of spin chain having infinite-range …

Degenerated ground-states in a class of 1D Ising-like models: a characterization by symbolic dynamics

LA Corona, R Salgado-Garcia - arXiv preprint arXiv:1508.04041, 2015 - arxiv.org
In this note we study a class of one-dimensional Ising chain having a highly degenerated set
of ground-state configurations. The model consists of spin chain having infinite-range pair …

On the ground state properties of the many-neighboured Ising antiferromagnet with general spin S

D Hajduković - Physics Letters A, 1987 - Elsevier
PII: 0375-9601(87)90367-7 Page 1 Volume 124, number 1,2 PHYSICS LETTERS A 14
September 1987 ON THE GROUND STATE PROPERTIES OF THE MANY-NEIGHBOURED …

Some exact results on the coupled ising chains with general spin S

D Hajdukovi - Philosophical magazine letters, 1987 - Taylor & Francis
The antiferromagnetic Ising model is considered for the critical magnetic field on a lattice
which consists of three coupled chains with coordination number γ= 6. The ground-state …