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

Physical review. B, Condensed matter

Trimodal random-field distribution of a transverse Ising model

F. S. Milman, Paulo R. Hauser, W. Figueiredo

Published Apr 1, 1993• 4 citations
Publisher

Abstract

We determine the phase diagram of a transverse Ising model with a diluted distribution of longitudinal random fields. Within a mean-field approach, we find in the space of temperature, transverse field, and random-field parameters a rich variety of multicritical lines. We also show that the reentrant phenomena are restricted to a limited concentration of random fields.

DOI
10.1103/physrevb.47.8691

Related papers

Trimodal random-field Ising systems in a transverse field

Yu‐qiang Ma, Z. Y. Li, D. L. Lin +1 more

The trimodal random-field Ising model with the presence of a transverse field is investigated by introducing a parameter p to simulate the fraction of spins not exposed to the external longitudinal magnetic field. Phase diagrams are obtained for different cases, and conditions for the occurrence of tricritical and reentrant phenomena are found. The competing effects on phase transitions due to the magnetic randomness and quantum fluctuations are also discussed.

Physical review. B, Condensed matter•Aug 1, 1991•18 citations

Phase diagram of the transverse Ising model in a random field

F. S. Milman, Paulo R. Hauser, W. Figueiredo

We determine the phase diagram of the transverse Ising model with a trimodal distribution (sum of three \ensuremath{\delta} functions) for a longitudinal random field at T=0, using a mean-field approximation. The phase diagram includes tricritical points, ordered critical points, a fourth-order point, critical end points, and a double critical end point. Our T=0 phase diagram is completely equivalent to the one obtained by Kaufman, Klunzinger, and Khurana for the random-field Ising model. We show that the temperature and the magnitude of the transverse field play a similar role.

Physical review. B, Condensed matter•Jun 1, 1991•25 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

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

Phase diagram of a trimodal random-field spin-SIsing model

Rafael M. Sebastianes, W. Figueiredo

A spin-S Ising model in a random field, with a trimodal distribution (sum of three \ensuremath{\delta} functions), is studied in the mean-field approximation. Through a detailed analysis of the Landau coefficients, we can determine the phase diagram of this model for the relevant values of the parameters. We find a line of fourth-order points (end of a line of tricritical points) as a function of S. We also discuss the classical-limit results.

Physical review. B, Condensed matter•Aug 1, 1990•7 citations

Longitudinal and Transverse Random‐Field Ising Model with Arbitrary Spin (S)

Yong‐Qiang Wang, Zhen‐Ya Li

Abstract The Ising model with transverse and longitudinal random fields, which have trimodal and bimodal distribution, respectively, for arbitrary spin (S), is investigated by combining the pair approximation with the discretized path integral representation (DPIR). The phase diagrams for S = 1, 1.5, and 2 are obtained, where some fascinating phenomena are observed.

physica status solidi (b)•Jun 1, 1995•3 citations
We determine the phase diagram of a transverse Ising model with a diluted distribution of longitudinal random fields. Within a mean-field approach, we find in the space of temperature, transverse field, and random-field parameters a rich variety of multicritical lines. We also show that the reentrant phenomena are restricted to a limited concentration of random fields.
We determine the phase diagram of the transverse Ising model with a trimodal distribution (sum of three \ensuremath{\delta} functions) for a longitudinal random field at T=0, using a mean-field approximation. The phase diagram includes tricritical points, ordered critical points, a fourth-order point, critical end points, and a double critical end point. Our T=0 phase diagram is completely equivalent to the one obtained by Kaufman, Klunzinger, and Khurana for the random-field Ising model. We show that the temperature and the magnitude of the transverse field play a similar role.
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.
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.