Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

physica status solidi (b)

An Approximation of the Ising Antiferromagnets in d ≧ 2 Dimensions with One‐Dimensional Many‐Neighboured Ising Antiferromagnet

Ilija M. Savić, Dragan Slavkov Hajdukovic

Published Dec 1, 1986• 0 citations
Publisher
DOI
10.1002/pssb.2221380246

Related papers

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

Dragan Slavkov Hajdukovic

Physics Letters A•Sep 1, 1987•0 citations

Computer simulation study of a long-ranged Ising antiferromagnet in one dimension

Silvano Romano

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Oct 1, 1984•3 citations

Computer simulation of a long-ranged Ising antiferromagnet in one dimension.

Silvano Romano

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Sep 1, 1985•2 citations

Ground state degeneracy of the Ising antiferromagnets in the maximum critical field

Dragan Slavkov Hajdukovic, S. Milošević

The authors demonstrate that all Ising antiferromagnets with arbitrary many-neighboured interactions and in the maximum critical field, have highly degenerate ground states accompanied with non-zero residual entropies. The residual entropies vanish when the range of interaction tends to infinity. The proof is realised by an explicit calculation in the case of a one-dimensional many-neighboured Ising antiferromagnet, and by establishing bounds for the residual entropy in the case of an Ising system situated on a lattice with arbitrary number of dimensions. They also show that the established bounds may serve as estimates of frequently unknown actual values of the residual entropy.

Journal of Physics A Mathematical and General•Nov 1, 1982•16 citations

On a Dimensional Antiferromagnetic Ising Model with Long Range Interaction

Azer Kerimov

Research reports in physics•Jan 1, 1991•0 citations

On the residual entropy of the one-dimensional Ising chain with competing interactions

Dragan Slavkov Hajdukovic, S. Milošević

The authors establish explicit relations between the residual entropy of the one-dimensional Ising chain with a nearest-neighbour ferromagnetic and kth-neighbour antiferromagnetic interaction, and the residual entropies of the one-dimensional Ising chain with many-neighboured antiferromagnetic interactions in the corresponding maximum critical fields. The obtained results are, in particular, relevant to the chains that appear in the axial next-nearest-neighbour ising model.

Journal of Physics A Mathematical and General•Dec 1, 1982•5 citations
The authors demonstrate that all Ising antiferromagnets with arbitrary many-neighboured interactions and in the maximum critical field, have highly degenerate ground states accompanied with non-zero residual entropies. The residual entropies vanish when the range of interaction tends to infinity. The proof is realised by an explicit calculation in the case of a one-dimensional many-neighboured Ising antiferromagnet, and by establishing bounds for the residual entropy in the case of an Ising system situated on a lattice with arbitrary number of dimensions. They also show that the established bounds may serve as estimates of frequently unknown actual values of the residual entropy.