scholarly journals High-temperature series analysis of the free energy and susceptibility of the 2D random-bond Ising model

1999 ◽  
Vol 265 (1-2) ◽  
pp. 28-42 ◽  
Author(s):  
Alexandra Roder ◽  
Joan Adler ◽  
Wolfhard Janke
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Ising Model ◽  
Temperature Series ◽  
Series Analysis

scholarly journals The bulk, surface and corner free energies of the anisotropic triangular Ising model

2020 ◽  
Vol 476 (2234) ◽  
pp. 20190713
Author(s):  
Rodney J. Baxter
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Partition Function ◽  
Temperature Series ◽  
Isotropic Case ◽  
Series Expansions ◽  
Exact Results ◽  
Free Energies ◽  
Bulk Surface ◽  
Bulk Free Energy

We consider the anisotropic Ising model on the triangular lattice with finite boundaries, and use Kaufman’s spinor method to calculate low-temperature series expansions for the partition function to high order. From these, we can obtain 108-term series expansions for the bulk, surface and corner free energies. We extrapolate these to all terms and thereby conjecture the exact results for each. Our results agree with the exactly known bulk-free energy and with Cardy and Peschel’s conformal invariance predictions for the dominant behaviour at criticality. For the isotropic case, they also agree with Vernier and Jacobsen’s conjecture for the 60 ° corners.

Extended high temperature low field expansions for the Ising model

1979 ◽  
Vol 57 (8) ◽  
pp. 1239-1245 ◽  
Author(s):  
S. McKenzie
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Ising Model ◽  
Three Dimensional ◽  
Low Field ◽  
Hypercubic Lattice

High temperature low field expansions are derived from the free energy of the Ising model for several two- and three-dimensional lattices. These represent a considerable advance on earlier work. Expansions for the four-dimensional hypercubic lattice are also presented.

scholarly journals Exchange energies of kapellasite from high-temperature series analysis of the kagome latticeJ1−J2−Jd-Heisenberg model

2013 ◽  
Vol 87 (15) ◽  
Author(s):  
B. Bernu ◽  
C. Lhuillier ◽  
E. Kermarrec ◽  
F. Bert ◽  
P. Mendels ◽  
...  
Keyword(s):  
High Temperature ◽  
Heisenberg Model ◽  
Temperature Series ◽  
Series Analysis

scholarly journals Specific-heat exponent for the three-dimensional Ising model from a 24th-order high-temperature series

1994 ◽  
Vol 49 (18) ◽  
pp. 12909-12914 ◽  
Author(s):  
Gyan Bhanot ◽  
Michael Creutz ◽  
Uwe Glässner ◽  
Klaus Schilling
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Specific Heat ◽  
Three Dimensional ◽  
Temperature Series
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