Layering Transitions of the Spin-1/2 Ising Model in a Transverse Magnetic Field

Bahmad, L.; Benyoussef, A.; Boubekri, A.; Ez‐Zahraouy, H.

doi:10.1002/(sici)1521-3951(199910)215:2<1091::aid-pssb1091>3.0.co;2-d

Cited by 7 publications

(5 citation statements)

References 39 publications

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“…As one can expects, the external field values needed to make arising the intra-layering and inter-layering transitions increase with increasing the order of the layer counted from the surface k = 1. This is qualitatively in a good agreement with our previous works [13][14][15].…”

Section: Resultssupporting

confidence: 93%

“…To conclude this study, we note that the presence of an edge (angle π/2) decreases the wetting temperature compared with the perfect case (angle π), see ref. [14]. This finding is in a good agreement the results obtained by Rejmer et al [16].…”

Section: Resultssupporting

confidence: 91%

“…Therefore, the effect of finite size on such transitions has been studied, in thin film confined between parallel plates or walls, by Nakanishi and Fisher [12] using mean field theory and by Bruno et al [13] taking into account the capillary condensation effect. In the framework of the mean field theory, we found in a previous work [14], the wetting and layering transitions of three-dimensional spin−1/2 Ising transverse model in the presence of both an external and surface magnetic fields. We showed, in our previous work [15], the existence of the layering transitions for a film, with finite thickness and infinite surfaces.…”

Section: Introductionmentioning

confidence: 83%

“…While the bulk layering and intra-layering transitions appear above an other finite temperature T b L (≥ T s L ). Such results were not seen neither in the perfect surfaces case [2,3,8,9,11,14,15] nor in the continuous model case [7,16]. The outline of this paper is as follows.…”

Section: Introductionmentioning

confidence: 96%

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Edge wetting of an Ising three-dimensional system

2002

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The effect of edge on wetting and layering transitions of a three-dimensional spin-1/2 Ising model is investigated, in the presence of longitudinal and surface magnetic fields, using mean field theory and Monte Carlo simulations. For T=0, the ground state phase diagram shows that there exist only three allowed transitions, namely, surface and bulk transition, surface transition, and bulk transition. However, there exist a surface intralayering temperature T(s)(L), above which the surface and the intralayering surface transitions occur. While the bulk layering and intralayering transitions appear above another finite temperature T(b)(L)(>or=T(s)(L)). These surface and bulk intralayering transitions are not seen in the perfect surfaces case. Numerical values of T(s)(L) and T(b)(L), computed by Monte Carlo method are found to be smaller than those obtained using mean field theory. However, the results predicted by the two methods become similar, and are exactly those given by the ground state phase diagram, for very low temperatures. On the other hand, the behavior of the local magnetizations as a function of the external magnetic field, shows that the transitions are of the first order type. T(s)(L) and T(b)(L) decrease when increasing the system size and/or the surface magnetic field. In particular, T(b)(L) reaches the wetting temperature T(w) for sufficiently large system sizes.

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Section: Resultssupporting

confidence: 93%

Section: Resultssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

Edge wetting of an Ising three-dimensional system

2002

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“…The results of the model for a finite α value exhibits similar topologies of the phase diagrams as it was outlined by Binder et al [27,28] and in some of our earlier works [16,17,29].…”

Section: Model and Methodssupporting

confidence: 83%

Surface coupling effect on wetting and layering transitions

2003

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The effect of the surface coupling $J_s$ on the dependency of the layering transition temperature $T_L$ as a function of the thickness $N$, of a spin-1/2 Ising film, is studied using the mean field theory. It is found that for $J_s$ greater than a critical value ($J_{sc}=1.30$), the layering transition temperature decreases when the film thickness $N$ increases for any values of the surface magnetic field $H_s$. While, for $J_s < J_{sc}$, the behaviour of the layering transition temperature $T_L$, as a function of $N$, depends strongly on the values of $H_s$. Indeed, we show the existence of three distinct behaviours of $T_L$, as a function of the film thickness $N$, separated by two critical surface magnetic fields $H_{sc1}$ and $H_{sc2}$, namely: $(i)$ for $H_s < H_{sc1}$, $T_L$ increases with $N$; $(ii)$ for $H_{sc1} < H_s < H_{sc2}$, $T_L$ increases for small values of $N$, and decreases for large value ones; (iii) while for $H_s > H_{sc2}$, $T_L$ decreases with increasing the film thickness. Furthermore, depending on the values of $J_s$, the wetting temperature $T_w (T_w=T_L$ when $N \to \infty$ for a given material), can be greater or smaller than the layering transition temperature of a film of thickness $N$ of the same material.Comment: 9 pages Latex, 6 figures P

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