Contribution to the new type of effective-field theory of the Ising model

Honmura, R.; Kaneyoshi, T.

doi:10.1088/0022-3719/12/19/016

Cited by 630 publications

(284 citation statements)

References 22 publications

Supporting

Mentioning

278

Contrasting

Order By: Relevance

“…Because of the fact, the formulations in Sec. 4 have been applied to study many other interesting problems in surface magnetism, thin films and multilayers which are now current topics of magnetism [42]. Here, notice that these works are discussed on the basis of spin-1/2 Ising model and its variants, such as the Mills model in surface magnetism [43].…”

Section: Discussionmentioning

confidence: 99%

“…Then, the formulation cannot be described in a general form but it must be made separately in a way of depending on the lattice structure. Another way of incorporating these properties is to express the thermal average of the transcendental function as an average over a finite polynomial of spin operation in an n-site cluster (n > 1) [4,17].…”

Section: Effective-field Renormalization Group Methodsmentioning

confidence: 99%

“…This can be systematically and easily achieved by the use of a differential operator technique introduced by Honmura and Kaneyoshi [4]:…”

Section: Differentiai Operator Techniquementioning

confidence: 99%

“…Here, notice that the decoupling (or Zernike) approximation predicts a magnetic specific heat starting from zero at T = 0 K and rising to a sharp maximum at T = Tc.A t t h i s p o i n t i t d r o p s discontinuously to a non-zero value and then tails off at high temperatures, varying as T-2 in the high-temperature limit. As is understood from (85) with m = 0.0, the non-vanishing specific heat provides a distinct improvement over the traditional MFA with C = 0.0 for T > Tc, due to the finite short-range order above the Curie point [4,20].…”

Section: Internal Energy and Specific Heatmentioning

confidence: 99%

See 3 more Smart Citations

Differential Operator Technique in the Ising Spin Systems

1993

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Effective-field Renormalization Group Methodsmentioning

confidence: 99%

“…This can be systematically and easily achieved by the use of a differential operator technique introduced by Honmura and Kaneyoshi [4]:…”

Section: Differentiai Operator Techniquementioning

confidence: 99%

Section: Internal Energy and Specific Heatmentioning

confidence: 99%

See 2 more Smart Citations

Differential Operator Technique in the Ising Spin Systems

1993

View full text Add to dashboard Cite

show abstract

“…(13) By employing the differential operator technique [37] together with the exact van der Waerden identity exp(aS…”

Section: Model and Methodsmentioning

confidence: 99%

Exact solution of the mixed-spin Ising model on a decorated square lattice with two different kinds of decorating spins on horizontal and vertical bonds

2007

View full text Add to dashboard Cite

The mixed spin-(1/2, SB, SC) Ising model on a decorated square lattice with two different kinds of decorating spins SB and SC (SB = SC) placed on its horizontal and vertical bonds, respectively, is exactly solved by establishing a precise mapping relationship with the corresponding spin-1/2 Ising model on an anisotropic square (rectangular) lattice. The effect of uniaxial single-ion anisotropy acting on both types of decorating spins SB and SC is examined in particular. If decorating spins SB and SC are integer and half-odd-integer, respectively, or if the reverse is the case, the model under investigation displays a very peculiar critical behavior beared on the spontaneously ordered 'quasi-1D' spin system, which appears as a result of the single-ion anisotropy strengthening. We have found convincing evidence that this remarkable spontaneous ordering virtually arises even though all integer-valued decorating spins tend towards their 'non-magnetic' spin state S = 0 and the system becomes disordered only upon further increase of the single-ion anisotropy. The single-ion anisotropy parameter is also at an origin of various temperature dependences of the total magnetization when imposing the pure ferrimagnetic or the mixed ferro-ferrimagnetic character of the spin arrangement.

show abstract

Phase Diagrams and Magnetic Behaviour of Films with Amorphous Surfaces

Bengrine¹,

Benyoussef²,

Kenz³

et al. 1998

phys. stat. sol. (b)

View full text Add to dashboard Cite

The phase diagrams and magnetic behaviour of thin films with two amorphized surfaces are investigated by the use of the effective field theory with correlations. The transition temperature dependence of the exchange integral at surfaces, coupling between surface and nearest-layer, film thickness, and structural fluctuations are studied. Some interesting phenomena can occur as wetting phenomenon and compensation point.

show abstract

Contribution to the new type of effective-field theory of the Ising model

Cited by 630 publications

References 22 publications

Differential Operator Technique in the Ising Spin Systems

Differential Operator Technique in the Ising Spin Systems

Exact solution of the mixed-spin Ising model on a decorated square lattice with two different kinds of decorating spins on horizontal and vertical bonds

Phase Diagrams and Magnetic Behaviour of Films with Amorphous Surfaces

Contact Info

Product

Resources

About