Record Details

Study of Blume-Emery-Griffiths model by a modified Bethe-Peierls method

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Study of Blume-Emery-Griffiths model by a modified Bethe-Peierls method
 
Creator GOVEAS, N
MUKHOPADHYAY, G
 
Subject effective-field treatment
capel model
phase-diagrams
ising-model
susceptibility
 
Description We present here a study of the Blume-Emery-Griffiths (BEG) model for general spins using a modified Bethe-Peierls (BP) method calling it the Bethe-Peierls-Lines (BPL) method, incorporating the well known Lines approximation. We compare our results of BPL as well as BP methods for the ferro-to para-magnetic transition temperatures T-c with those available from other theories such as the Correlated-Effective-Field Theory (CEFT), Cluster Variation Method (CVM) and the Monte-Carlo (MC) method. We find that our BPL method gives results for variation of T-c with the single-ion uniaxial anisotropy (D) and biquadratic interaction (J') coefficients close to those obtained by CVM method for spin S = 1 on a honeycomb lattice. We also find that the BPL results are in good agreement for the cubic lattice for S = 3/2 and J' = 0 with those of the MC results, and for S = 1 and J' = -0.5J with those of the CVM results. For these three dimensional lattices our BPL method gives the correct reentrant behaviour for negative values of J'. We also compare our BP and BPL results for magnetic susceptibility with those of the CEFT for S = 3/2 and 3 nearest neighbours and find fairly good agreement for D > 0.
 
Publisher ROYAL SWEDISH ACAD SCIENCES
 
Date 2011-08-29T00:50:58Z
2011-12-26T12:58:17Z
2011-12-27T05:47:57Z
2011-08-29T00:50:58Z
2011-12-26T12:58:17Z
2011-12-27T05:47:57Z
1997
 
Type Article
 
Identifier PHYSICA SCRIPTA, 56(6), 661-666
0281-1847
http://dx.doi.org/10.1088/0031-8949/56/6/023
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11892
http://hdl.handle.net/10054/11892
 
Language en