Uniaxial Anisotropy Effects in the Ising Model: an Exactly Soluble Model
Влияние одноосной анизотропии в модели Изинга: точно решаемая модель
1985-09-01
SCID: 54.1/42ydcctd
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critical exponentsexact solutionhoneycomb latticemixed-spin Ising modeluniaxial anisotropy
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Abstract (AI)
The effect of the uniaxial anisotropy in an Ising model consisting of mixed spins of magnitudes s and 1/2, on the honeycomb lattice, is studied. The exact solution is determined by mapping the model onto an effective spin 1/2 Ising model on the triangular lattice. The transition temperature is obtained as a function of the parameters and it is shown that for s integer there is no long range order for the parameter values in a determined region which is independent of the value of s. The critical exponents are obtained and it is shown that they are the same as those of the two-dimensional spin 1/2 Ising model.
Key Findings
1
For integer s, long-range order is absent within a parameter region that is independent of the specific integer value of s.
2
The critical exponents coincide with those of the two-dimensional spin-1/2 Ising model, indicating the same universality class.
3
The mixed-spin Ising model with spins s and 1/2 on a honeycomb lattice is solved exactly by mapping it to an effective spin-1/2 Ising model on a triangular lattice.
4
The transition temperature is derived as a function of the model parameters, including the uniaxial anisotropy.
Research Object
A mixed-spin Ising model with spins of magnitudes s and 1/2 on a honeycomb lattice, subject to uniaxial anisotropy
Research Subject
The exact phase behavior, transition temperature, long-range order, and critical exponents as functions of the anisotropy and model parameters
Publication Details
Publication Date
1985-09-01
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