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

Physica A Statistical Mechanics and its Applications

Critical point estimates for the spin s Ising model from the high temperature series renormalisation group method

Keith De'Bell, Donald D. Betts

Published Apr 1, 1983• 2 citations
Publisher
DOI
10.1016/0378-4371(83)90147-4

Related papers

Renormalization group solution of Ising spin models

Michael Nauenberg

Springer eBooks•Apr 6, 2008•0 citations

The critical exponent γ for the three-dimensional Ising model

David S. Gaunt, M F Sykes

Estimates for the critical exponent gamma for the initial susceptibility of the three-dimensional spin- 1 / 2 Ising model are summarised. There is a discrepancy between estimates based on high-temperature series expansions and those obtained using renormalisation group theory. High-temperature series estimates for gamma are reviewed and re-examined using some new data. It is tentatively concluded that a small discrepancy still appears to exist and that further work is needed to resolve it.

Journal of Physics A Mathematical and General•Jan 1, 1979•34 citations

Susceptibility and fourth-field derivative of the spin-1/2Ising model for T>Tcand d=4

David S. Gaunt, M F Sykes, Sati McKenzie

THe authors investigate the spin- 1 / 2 Ising model with nearest-neighbour interactions on the four-dimensional simple hypercubic lattice. High-temperature series expansions are studied for the zero-field susceptibility chi 0 and the fourth-field derivative of the free energy Xi 0 (2) up to order nu 17 . The series are analysed for singularities of the form t -1 mod 1nt mod p where t is the reduced temperature. For chi 0 it is found that p=0.33+or-0.07 when q=1, in good agreement with the prediction p= 1 / 3 , q=1 of renormalisation group theory. The critical temperature is estimated to be nu c -1 =6.7315+or-0.0015. Results for chi 0 (2) are more slowly convergent but are not inconsistent with the renormalisation group prediction p= 1 / 3 , q=4.

Journal of Physics A Mathematical and General•Jun 1, 1979•59 citations

Low temperature critical behaviour of the spin 1 Ising model

P F Fox, Anthony John Guttmann

Physics Letters A•Mar 1, 1970•9 citations

Determination of critical temperature for three-dimensional Ising systems

W. Reich

A real space renormalisation group method has been applied to find the critical temperature of the Ising model on cubic and octahedral lattices. The result obtained for a cubic lattice is in good agreement with that obtained from high-temperature series expansion and is better than the results of other papers. A modification of the transformation tested for a simple cubic lattice allowed the authors to find the critical temperature for an octahedral lattice. The latter has not so far been studied by any version of the real space renormalisation group method.

Journal of Physics A Mathematical and General•Dec 21, 1984•10 citations

Renormalization-group calculations for a mixed-spin Ising model

S.G.A. Quadros, Silvio R. A. Salinas

Physica A Statistical Mechanics and its Applications•May 1, 1994•60 citations
THe authors investigate the spin- 1 / 2 Ising model with nearest-neighbour interactions on the four-dimensional simple hypercubic lattice. High-temperature series expansions are studied for the zero-field susceptibility chi 0 and the fourth-field derivative of the free energy Xi 0 (2) up to order nu 17 . The series are analysed for singularities of the form t -1 mod 1nt mod p where t is the reduced temperature. For chi 0 it is found that p=0.33+or-0.07 when q=1, in good agreement with the prediction p= 1 / 3 , q=1 of renormalisation group theory. The critical temperature is estimated to be nu c -1 =6.7315+or-0.0015. Results for chi 0 (2) are more slowly convergent but are not inconsistent with the renormalisation group prediction p= 1 / 3 , q=4.
A real space renormalisation group method has been applied to find the critical temperature of the Ising model on cubic and octahedral lattices. The result obtained for a cubic lattice is in good agreement with that obtained from high-temperature series expansion and is better than the results of other papers. A modification of the transformation tested for a simple cubic lattice allowed the authors to find the critical temperature for an octahedral lattice. The latter has not so far been studied by any version of the real space renormalisation group method.