Critical Adsorption in the Weak Surface Field Limit

Cho, J.-H. J.; Law, Bruce M.

doi:10.1103/physrevlett.86.2070

Cited by 27 publications

(38 citation statements)

References 16 publications

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“…However, it is in general not clear how close to the critical point one should be, as in experiments critical scaling is often found to still correctly describe the behavior rather far from the critical point. Notably, for critical adsorption, a situation akin to our experiments, the proposed critical scaling laws remain verified at large distances from the critical point; e.g., in [3] theory and experiment agree even for a reduced temperature distance from the critical point t ¼ jT c ÀTj T c % 0:1, corresponding to a very small bulk correlation length.…”

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confidence: 83%

Bonn, Wegdam, and Schall Reply:

2010

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mentioning

confidence: 83%

Bonn, Wegdam, and Schall Reply:

2010

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“…[8] for a review, and Refs. [9][10][11][12][13][14][15] for more recent results), as well as theoretical investigations (see, e.g., Refs. [16][17][18][19][20][21][22][23][24][25][26]).…”

Section: Introductionmentioning

confidence: 99%

Critical behavior in the presence of an order-parameter pinning field

2017

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We apply a recently advocated simulation scheme that employs a local order-parameter pinning field to study quantum critical phenomena in the two-dimensional square-lattice bilayer quantum Heisenberg model. Using a world-line quantum Monte Carlo approach, we show that for this model, the pinning-field approach allows to locate the quantum critical point over a wide range of pinning-field strengths. However, the identification of the quantum critical scaling behavior is found to be hard since the pinning field introduces strong corrections to scaling. In order to further elucidate the scaling behavior in this situation, we also study an improved classical lattice model in the three-dimensional Ising universality class by means of Monte Carlo simulations on large lattice sizes, which allow us to employ refined finite-size scaling considerations. A renormalization group analysis exhibits the presence of an important crossover effect from the zero pinning-field to a critical adsorption fixed point. In line with field-theoretical results, we find that at the critical adsorption fixed point the shortdistance expansion of the order-parameter profile exhibits a new universal critical exponent. This result also implies the presence of slowly decaying scaling corrections, which we analyze in detail.

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“…Recent studies of critical adsorption in a weak surface field for a homologous series of critical liquid mixtures [154] have permitted to observe the predicted increase experimentally. It is worth noting that for surface enhancement corresponding to the special transition point m(z) displays in the weak surface field limit a monotonic decay, but with two different power laws in the limits z −→ 0 and z −→ ∞ [155].…”

Section: Surfaces and Fieldsmentioning

confidence: 99%

Critical phenomena at perfect and non-perfect surfaces

Pleimling¹

2004

J. Phys. A: Math. Gen.

100

135

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Abstract. In the past perfect surfaces have been shown to yield a local critical behaviour that differs from the bulk critical behaviour. On the other hand surface defects, whether they are of natural origin or created artificially, are known to modify local quantities. It is therefore important to clarify whether these defects are relevant or irrelevant for the surface critical behaviour.The purpose of this review is two-fold. In the first part we summarise some of the important results on surface criticality at perfect surfaces. Special attention is thereby paid to new developments as for example the study of surface critical behaviour in systems with competing interactions or of surface critical dynamics. In the second part the effect of surface defects (presence of edges, steps, quenched randomness, lines of adatoms, regular geometric patterns) on local critical behaviour in semi-infinite systems and in thin films is discussed in detail. Whereas most of the defects commonly encountered are shown to be irrelevant, some notable exceptions are highlighted. It is shown furthermore that under certain circumstances non-universal local critical behaviour may be observed at surfaces.

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Critical Adsorption in the Weak Surface Field Limit

Cited by 27 publications

References 16 publications

Bonn, Wegdam, and Schall Reply:

Bonn, Wegdam, and Schall Reply:

Critical behavior in the presence of an order-parameter pinning field

Critical phenomena at perfect and non-perfect surfaces

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