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

Journal of Suzhou University

Study on the tricritical properties of bond-dilution ferromagnetic spin system with random crystal field

Yanan Zhang

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

In the frame of Ising model, we investigate the critical properties of bond dilution ferromagnetic spin system with random crystal field and obtain the magnetization expressions by using effective field theory. Special emphasis is placed on tricritical properties of the square lattice. At the range of concern random concentration of crystal field and bond dilution,the present system shows some new critical properties,such as fluctuation of tricritical point. We discuss in detail the influence of two disorder factors on the critical properties and give phase diagram.

Related papers

Critical properties of ferromagnetic spin system with random crystal field

Deng Ling-Ling

In the frame of Ising model, we investigate the critical properties of ferromagnetic spin system with random crystal field and obtain the magnetization expressions for the square lattice by using effective field theory. Special emphasis is placed on critical properties of the system. At the range of concern crystal field and random concentration, the present system shows some new critical properties. We discuss in detail the influence of random concentration on the critical properties and give phase diagram and magnetization curve.

苏州大学学报：自然科学版•Jan 1, 2002•0 citations

Critical properties of a random transverse crystal field Ising model with bond dilution

Ling Wen, Yan Shi-Lei

Abstract Within effective field theory (EFT), the critical properties of a random transverse crystal field Ising model with bond dilution are studied on a square lattice. Under both weak and strong bond dilution conditions, we consider three cases (α = 0,±0.5) of a transverse crystal field ratio, obtaining global phase diagrams in T−D x space for changes in the random transverse crystal field concentration. The phase diagrams obtained for a weak bond dilution are very similar in shape to those of pure bond but with decreases in corresponding ordered phases and critical values. However, the phase diagrams for a strong bond dilution exhibit varieties, including a change in reentrant phenomenon, the occurrence of transverse crystal field degeneration, and the opposite direction crossover of temperature peak value.

Open Physics•Mar 31, 2011•9 citations

The dilute spin-I Ising model with crystal-field interactions

Noureddine Benayad, A. Benyoussef, N. Boccara

2D spin-1 Ising models with nearest-neighbour and crystal-field interactions exhibit tricritical behaviour. A new method that applies to a wide class of random systems is used to study the influence of site and bond dilution on this behaviour. The authors have calculated temperature-crystal-field-concentration phase diagrams and determined, in particular, the influence of dilution on the zero-temperature critical field and on the tricritical temperature. The results are in agreement with those obtained recently for bond dilution by a real-space renormalisation-group technique. The method appears more tractable.

Journal of Physics C Solid State Physics•Mar 30, 1985•54 citations

Phase diagrams and tricritical behavior of a diluted spin-1 transverse Ising model in a random field

Enaldo F. Sarmento, T. Kaneyoshi

Phase diagrams and magnetization curves of a diluted spin-1 transverse Ising model in a random field on honeycomb, square, and simple-cubic lattices, respectively, are investigated by the use of an effective-field theory with correlations. The tricritical point is found in the system, in contrast to the corresponding spin-1/2 Ising counterpart. The behavior of the tricritical point is also examined as a function of applied transverse field. The possible reentrant phenomena displayed by the system due to the competition effects that occur for appropriate ranges of the random and transverse fields are investigated.

Physical review. B, Condensed matter•Aug 1, 1993•42 citations

The tricritical point in Ising models with random bonds and crystal-field interactions

T. Kaneyoshi

A spin-1 Ising model with random bonds and crystal-field interactions Delta i is investigated by the use of effective-field theory with correlations. The general expressions for evaluating the second-order phase transition and the tricritical point are obtained. For a particular case with p( Delta i )=p delta ( Delta i - Delta )+p delta ( Delta i ) the behaviour of the tricritical point with p is studied for a honeycomb lattice.

Journal of Physics C Solid State Physics•Sep 10, 1986•82 citations

Critical Properties of the Bond-Diluted Mixed Transverse Ising Spin System with Single-Ion Anisotropy

Yan Shi-Lei, Deng Ling-Ling, YANG CHUAN-ZHANG

The critical properties of the bond-diluted mixed spin-1/2 and spin-1 transverse Ising system with single-ion anisotropy are investigated by means of the effective field theory with correlations. Particular emphasis is given to the square lattice for which phase diagrams are obtained. If transverse field varies in the certain ranges we find that the tricritical point is obtained for the value of the bond concentration in a restricted region. We also observe that the reentrant phase transition may occur in the present system if single-ion anisotropy parameter is not large and if transverse field is small. On the other hand, for certain values of the system parameters, new induced magnetic ordering can be obtained. We find a number of interesting phenomena that are not predicted by previous literatures. The influence of the transverse field on the behaviours of the reentrant phase transition and induced magnetic ordering is discussed. A detailed description of the phase transition is presented.

Communications in Theoretical Physics•Jun 15, 2001•2 citations
In the frame of Ising model, we investigate the critical properties of bond dilution ferromagnetic spin system with random crystal field and obtain the magnetization expressions by using effective field theory. Special emphasis is placed on tricritical properties of the square lattice. At the range of concern random concentration of crystal field and bond dilution,the present system shows some new critical properties,such as fluctuation of tricritical point. We discuss in detail the influence of two disorder factors on the critical properties and give phase diagram.
In the frame of Ising model, we investigate the critical properties of ferromagnetic spin system with random crystal field and obtain the magnetization expressions for the square lattice by using effective field theory. Special emphasis is placed on critical properties of the system. At the range of concern crystal field and random concentration, the present system shows some new critical properties. We discuss in detail the influence of random concentration on the critical properties and give phase diagram and magnetization curve.
Abstract Within effective field theory (EFT), the critical properties of a random transverse crystal field Ising model with bond dilution are studied on a square lattice. Under both weak and strong bond dilution conditions, we consider three cases (α = 0,±0.5) of a transverse crystal field ratio, obtaining global phase diagrams in T−D x space for changes in the random transverse crystal field concentration. The phase diagrams obtained for a weak bond dilution are very similar in shape to those of pure bond but with decreases in corresponding ordered phases and critical values. However, the phase diagrams for a strong bond dilution exhibit varieties, including a change in reentrant phenomenon, the occurrence of transverse crystal field degeneration, and the opposite direction crossover of temperature peak value.
2D spin-1 Ising models with nearest-neighbour and crystal-field interactions exhibit tricritical behaviour. A new method that applies to a wide class of random systems is used to study the influence of site and bond dilution on this behaviour. The authors have calculated temperature-crystal-field-concentration phase diagrams and determined, in particular, the influence of dilution on the zero-temperature critical field and on the tricritical temperature. The results are in agreement with those obtained recently for bond dilution by a real-space renormalisation-group technique. The method appears more tractable.
Phase diagrams and magnetization curves of a diluted spin-1 transverse Ising model in a random field on honeycomb, square, and simple-cubic lattices, respectively, are investigated by the use of an effective-field theory with correlations. The tricritical point is found in the system, in contrast to the corresponding spin-1/2 Ising counterpart. The behavior of the tricritical point is also examined as a function of applied transverse field. The possible reentrant phenomena displayed by the system due to the competition effects that occur for appropriate ranges of the random and transverse fields are investigated.
The critical properties of the bond-diluted mixed spin-1/2 and spin-1 transverse Ising system with single-ion anisotropy are investigated by means of the effective field theory with correlations. Particular emphasis is given to the square lattice for which phase diagrams are obtained. If transverse field varies in the certain ranges we find that the tricritical point is obtained for the value of the bond concentration in a restricted region. We also observe that the reentrant phase transition may occur in the present system if single-ion anisotropy parameter is not large and if transverse field is small. On the other hand, for certain values of the system parameters, new induced magnetic ordering can be obtained. We find a number of interesting phenomena that are not predicted by previous literatures. The influence of the transverse field on the behaviours of the reentrant phase transition and induced magnetic ordering is discussed. A detailed description of the phase transition is presented.