scholarly journals Ising Model on a Triangular Lattice with Three-spin Interactions. I. The Eigenvalue Equation

1974 ◽  
Vol 27 (3) ◽  
pp. 357 ◽  
Author(s):  
RJ Baxter ◽  
FY Wu
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Triangular Lattice ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Hexagonal Lattice ◽  
Eigenvalue Equation ◽  
Spin Interactions ◽  
A Site

It is shown that the Ising model with three-spin interactions on a triangular lattice is equivalent to a site-colouring problem on a hexagonal lattice. The transfer matrix method is then used to solve the colouring problem. The colouring of two neighbouri

scholarly journals Ising Model on a Triangular Lattice with Three-spin Interactions. I. Free Energy and Correlation Length

1974 ◽  
Vol 27 (3) ◽  
pp. 369 ◽  
Author(s):  
RJ Baxter
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Bethe Ansatz ◽  
Correlation Length ◽  
Triangular Lattice ◽  
Hexagonal Lattice ◽  
Spin Interactions

Following the demonstration in Part I that the Ising mogel with three-spin interactions on a triangular lattice is equivalent to a colouring problem on a hexagonal lattice, and that a generalized Bethe ansatz can be used to obtain equations for the eigenv

scholarly journals Phase transition properties of a finite ferroelectric superlattice from the transverse Ising model.

2000 ◽  
Vol 53 (3) ◽  
pp. 453
Author(s):  
Xiao-Guang Wang ◽  
Ning-Ning Liu ◽  
Shao-Hua Pan ◽  
Guo-Zhen Yang
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Curie Temperature ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Type B ◽  
Elementary Unit ◽  
Transverse Ising Model ◽  
Exchange Constants

We consider a finite ferroelectric superlattice in which the elementary unit cell is made up of 1 atomic layers of type A and n atomic layers of type B. Based on the transverse Ising model we examine the phase transition properties of the ferroelectric superlattice. Using the transfer matrix method we derive the equation for the Curie temperature of the superlattice. Numerical results are given for the dependence of the Curie temperature on the thickness and exchange constants of the superlattice.

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