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 Physics A Mathematical and General

Mean field renormalisation group for the disordered transverse Ising model

J. A. Plascak

Published Apr 1, 1984• 24 citations
Publisher

Abstract

The mean field renormalisation group approach is applied to the bond diluted transverse Ising model. The critical surface in the temperature-transverse field-concentration space is obtained for the two- and three-dimensional models and estimates of critical exponents are also presented.
DOI
10.1088/0305-4470/17/5/012

Related papers

Mean-field renormalisation group for the Potts model in a transverse field

M C Marques, M. Santos

The mean-field renormalisation group method is used to study the bond-diluted q-states Potts model in a transverse field. The critical surface in the transverse field-temperature-concentration space is obtained for different dimensionalities, and some critical exponents are estimated.

Journal of Physics C Solid State Physics•Aug 10, 1986•4 citations

Zero-temperature renormalisation group study of the random systems: the Ising model in a transverse field in two dimensions

G. Kamieniarz

A zero-temperature real space renormalisation group block method is applied to the random quantum Ising model with a transverse field on the planar honeycomb and square lattices. For the bound diluted system the magnetisation and the separation of the ground-state energy level (in the paramagnetic phase) are presented for several bond concentrations p. The critical exponents extracted both from the fixed points and from direct numerical computations preserve some scaling relations, and the critical curve displays a characteristic discontinuity at the percolation concentration. For the McCoy and Wu distribution (1968) the random fields and bonds are found to introduce a strong relevant disorder. The order parameter still falls off continuously to zero for well defined values of the parameters but a new fixed point yields a slight change in the critical exponents.

Journal of Physics C Solid State Physics•Jan 20, 1986•5 citations

Quantum spin systems: dynamical mean field renormalisation group approach

J. A. Plascak

The mean field renormalisation group approach is applied to the study of the static and dynamical critical properties of the spin- 1 / 2 anisotropic Heisenberg model in a transverse field. The critical surface and estimates of static and dynamical critical exponents are obtained for the one-, two-, and three-dimensional models.

Journal of Physics A Mathematical and General•Sep 11, 1984•15 citations

2D pure and dilute quantum transverse Ising model

G. Kamieniarz

The quantum critical behaviour of the transverse Ising model on a planar lattice at zero temperature is shown, within approximate block renormalisation-group transformations, to be unaffected by the bond dilution. The critical exponents and the critical fields are calculated for both pure and dilute systems.

Journal of Physics C Solid State Physics•Oct 10, 1983•4 citations

Critical properties of the site-diluted Ising ferromagnet

Julia M. Yeomans, Robin B. Stinchcombe

The site-diluted Ising ferromagnet is treated by a position space renormalisation group method. The method is briefly outlined and results obtained by considering three different two-dimensional clusters are presented. The results include the dependence of transition temperature T c on concentration p and the thermal exponents for the percolation and Ising fixed points. Corresponding results are also presented for the bond-diluted Ising ferromagnet.

Journal of Physics C Solid State Physics•Jul 14, 1978•28 citations

Mean-field renormalisation group study of the anisotropic Ising model

J. A. Plascak, N P Silva

The mean-field renormalisation group approach is applied to the anisotropic Ising model by considering clusters consisting of finite blocks of spins and clusters consisting of infinite strips of spins with the finite widths. The critical temperature and estimates of the critical exponent nu are obtained as functions of the anisotropy. A two-step renormalisation group procedure using a phenomenological renormalisation transformation is also presented. In general, the results for nu are consistent with universality arguments.

Journal of Physics C Solid State Physics•Aug 20, 1986•8 citations
A zero-temperature real space renormalisation group block method is applied to the random quantum Ising model with a transverse field on the planar honeycomb and square lattices. For the bound diluted system the magnetisation and the separation of the ground-state energy level (in the paramagnetic phase) are presented for several bond concentrations p. The critical exponents extracted both from the fixed points and from direct numerical computations preserve some scaling relations, and the critical curve displays a characteristic discontinuity at the percolation concentration. For the McCoy and Wu distribution (1968) the random fields and bonds are found to introduce a strong relevant disorder. The order parameter still falls off continuously to zero for well defined values of the parameters but a new fixed point yields a slight change in the critical exponents.
The mean-field renormalisation group approach is applied to the anisotropic Ising model by considering clusters consisting of finite blocks of spins and clusters consisting of infinite strips of spins with the finite widths. The critical temperature and estimates of the critical exponent nu are obtained as functions of the anisotropy. A two-step renormalisation group procedure using a phenomenological renormalisation transformation is also presented. In general, the results for nu are consistent with universality arguments.