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 Statistical Physics

Phase transitions in the Ising model with transverse field

James R. Kirkwood

Published Nov 1, 1984• 4 citations
Publisher
DOI
10.1007/bf01011841

Related papers

Effect of a crystal field on phase transitions in a spin- transverse Ising model

Wei Jiang, Guozhu Wei, Zi‐Hua Xin

Journal of Magnetism and Magnetic Materials•Jul 1, 2000•14 citations

Phase transition of a transverse semi-infinite spin-1 Ising model with crystal field

Noureddine Cherkaoui Eddeqaqi, Hamid Ez-zahraouy A, A. Bouzid

Journal of Magnetism and Magnetic Materials•Dec 1, 1999•1 citation

Properties of the phase transitions in the transverse Ising model

L. De Cesare, Ileana Rabuffo, Dimo I. Uzunov

•Jan 1, 1998•0 citations

Phase transitions in the random field Ising model in the presence of a transverse field

Amit Dutta, Bikas K. Chakrabarti, Robin B. Stinchcombe

We have studied the phase transition behaviour of the random field Ising model in the presence of a transverse (or tunnelling) field. The mean field phase diagram has been studied in detail, and in particular the nature of the transition induced by the tunnelling (transverse) field at zero temperature. A modified hyperscaling relation for the zero-temperature transition has been derived using the Suzuki - Trotter formalism and a modified `Harris criterion'. A mapping of the model to a randomly diluted antiferromagnetic Ising model in uniform longitudinal and transverse field is also given.

Journal of Physics A Mathematical and General•Sep 7, 1996•12 citations

Phase diagrams of an Ising model with transverse field

Enaldo F. Sarmento, Solange Bessa Cavalcanti, R. B. Muniz

Cienc. Cult. (Sao Paulo) Supl•Jan 1, 1984•0 citations

Phase transitions in randomly diluted transverse Ising model

V. K. Saxena

Recently, there has been interest in the problems of disorder in the Ising model in a transverse field, which may apply to DKDP-KDP mixed systems and diluted vanadates. The site and bond diluted transverse Ising models have already been studied using Green's function techniques along with the coherent potential approximation. However, the situation as regards to the existence of a second order phase transition and the divergence of the static susceptibility is not very clear. In the present paper, a spin ½ Ising model in a transverse field and random bond (site) dilution is studied by variational cluster and perturbation expansion method. The critical temperature for the existence of a second order phase transition is calculated as a function of concentration of bonds (spins) and the transverse field. Variation of the critical concentration, for the existence of phase transition, is studied as a function of the transverse field. A phase diagram in the temperature-concentration-transverse field space is constructed. The static susceptibility is calculated and is found to diverge at the critical temperature, as is expected for the existence of a second order phase transition.

Ferroelectrics•Oct 1, 1981•0 citations
We have studied the phase transition behaviour of the random field Ising model in the presence of a transverse (or tunnelling) field. The mean field phase diagram has been studied in detail, and in particular the nature of the transition induced by the tunnelling (transverse) field at zero temperature. A modified hyperscaling relation for the zero-temperature transition has been derived using the Suzuki - Trotter formalism and a modified `Harris criterion'. A mapping of the model to a randomly diluted antiferromagnetic Ising model in uniform longitudinal and transverse field is also given.
Recently, there has been interest in the problems of disorder in the Ising model in a transverse field, which may apply to DKDP-KDP mixed systems and diluted vanadates. The site and bond diluted transverse Ising models have already been studied using Green's function techniques along with the coherent potential approximation. However, the situation as regards to the existence of a second order phase transition and the divergence of the static susceptibility is not very clear. In the present paper, a spin ½ Ising model in a transverse field and random bond (site) dilution is studied by variational cluster and perturbation expansion method. The critical temperature for the existence of a second order phase transition is calculated as a function of concentration of bonds (spins) and the transverse field. Variation of the critical concentration, for the existence of phase transition, is studied as a function of the transverse field. A phase diagram in the temperature-concentration-transverse field space is constructed. The static susceptibility is calculated and is found to diverge at the critical temperature, as is expected for the existence of a second order phase transition.