Spin-1 Ising model on tetrahedron recursive lattices: Exact results

2016 ◽  
Vol 461 ◽  
pp. 554-568 ◽  
Author(s):  
E. Jurčišinová ◽  
M. Jurčišin
Keyword(s):  
Ising Model ◽  
Exact Results ◽  
Recursive Lattices

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.

scholarly journals Potts model on recursive lattices: some new exact results

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
P. D. Alvarez ◽  
F. Canfora ◽  
S. A. Reyes ◽  
S. Riquelme
Keyword(s):  
Potts Model ◽  
Exact Results ◽  
Recursive Lattices

Ising Model with Adjustable Boundary Conditions: Exact Results for Finite Lattice Mass Gaps

1988 ◽  
Vol 61 (21) ◽  
pp. 2393-2396 ◽  
Author(s):  
D. B. Abraham ◽  
L. F. Ko ◽  
N. M. Švrakić
Keyword(s):  
Ising Model ◽  
Boundary Conditions ◽  
Finite Lattice ◽  
Exact Results
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