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

Physics Letters A

Residual entropy of the one-dimensional Ising antiferromagnet with general spin

Dragan Slavkov Hajdukovic, S. Milošević

Published Apr 1, 1983• 7 citations
Publisher
DOI
10.1016/0375-9601(83)90781-8

Related papers

Towards finding exact residual entropies of the Ising antiferromagnets

S. Milošević, Borko D Stosic, Tatijana Stošić

Physica A Statistical Mechanics and its Applications•Jun 1, 1989•13 citations

Ground-state entropy of Ising antiferromagnets with general spinS

Dragan Slavkov Hajdukovic, Ilija M. Savić, Lj. Damjanović

The European Physical Journal B•Sep 1, 1984•7 citations

A Remark on the Residual Entropy of the Antiferromagnetic Ising Model in the Maximal Critical Field

Gastão A. Braga, Paulo C. Lima

Journal of Statistical Physics•Apr 29, 2008•3 citations

Spin Dynamics of Quasi One-Dimensional Spin 1/2 Ising-Like Antiferromagnets.

S. E. Nagler

•Jan 1, 1982•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

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
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.