English
Related papers

Related papers: Surface criticality in random field magnets

200 papers

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

Statistical Mechanics · Physics 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói

The critical indices \alpha', \beta, \gamma' and \delta of the Quark Gluon Bags with Surface Tension Model with the tricritical endpoint are calculated as functions of the usual parameters of this model and two newly introduces parameters…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. I. Ivanytskyi

The surface states of a topological insulator in a fine-tuned magnetic field are ideal candidates for realizing a topological metal which is protected against disorder. Its signatures are (1) a conductance plateau in long wires in a finely…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Quansheng Wu , Vincent E. Sacksteder

We consider Ising quantum chains with quenched aperiodic disorder of the coupling constants given through general substitution rules. The critical scaling behaviour of several bulk and surface quantities is obtained by exact real space…

Statistical Mechanics · Physics 2009-10-30 J. Hermisson , U. Grimm

We study in detail the dynamic scaling of the three-dimensional (3D) Ising model driven through its critical point on finite-size lattices and show that a series of new critical exponents are needed to account for the anomalous scalings…

Statistical Mechanics · Physics 2021-07-22 Weilun Yuan , Fan Zhong

The surface magnetization of Fe$_3$GeTe$_2$ was examined by low-energy electron microscopy (LEEM) using an off-normal incidence electron beam. We found that the 180$^o$ domain walls are of Bloch type. Temperature-dependent LEEM measurements…

We study the effect of spatial correlations in the quenched disorder on random quantum magnets at and near a quantum critical point. In the random transverse field Ising systems disorder correlations that decay algebraically with an…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Rieger , F. Igloi

One-dimensional edges of classical systems in two dimension sometimes show surprisingly rich phase transitions and critical phenomena, particularly when the bulk is at criticality. As such a model, we study the surface critical behavior of…

Statistical Mechanics · Physics 2021-03-09 Shumpei Iino

In this paper we employ a self-consistent harmonic approximation to investigate surface melting and local melting close to quantum impurities in quantum solids. We show that surface melting can occur at temperatures much lower than the…

Statistical Mechanics · Physics 2009-11-13 E. Cappelluti , G. Rastelli , S. Gaudio , L. Pietronero

We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a fermionic observable and compute its scaling limit by discrete…

Mathematical Physics · Physics 2011-07-07 Clément Hongler , Stanislav Smirnov

Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising model in three and four dimensions, as well…

Disordered Systems and Neural Networks · Physics 2015-05-20 Istvan A. Kovacs , Ferenc Igloi

The specific heats of exactly solvable alternating layered planar Ising models with strips of width $m_1$ lattice spacings and ``strong'' couplings $J_1$ sandwiched between strips of width $m_2$ and ``weak'' coupling $J_2$, have been…

Statistical Mechanics · Physics 2013-10-30 Helen Au-Yang , Michael E. Fisher

The influence of a layered aperiodic modulation of the couplings on the critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The aperiodicity is found to induce anisotropic scaling. The…

Statistical Mechanics · Physics 2009-10-28 B. Berche , P. E. Berche , M. Henkel , F. Igloi , P. Lajko , S. Morgan , L. Turban

Analytic phenomenological scaling is carried out for the random field Ising model in general dimensions using a bar geometry. Domain wall configurations and their decorated profiles and associated wandering and other exponents…

Condensed Matter · Physics 2009-10-28 R. B. Stinchcombe , E. D. Moore , S. L. A. de Queiroz

The scaling properties of the maximal height of a growing self-affine surface with a lateral extent $L$ are considered. In the late-time regime its value measured relative to the evolving average height scales like the roughness: $h^{*}_{L}…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Michael Cranston , Corry Pryzybla , Yonathan Shapir

Density profiles are investigated arising in a critical Ising model in two dimensions which is confined to a rectangular domain with uniform or mixed boundary conditions and arbitrary aspect ratio. For the cases in which the two vertical…

Statistical Mechanics · Physics 2023-07-18 E. Eisenriegler

In Ising model on the simple cubic lattice, we describe the inverse temperature \beta in terms of the bare-mass M and study its critical behavior by the use of delta expansion from high temperature or large M side. In the vicinity of…

High Energy Physics - Lattice · Physics 2013-03-18 Hirofumi Yamada

We study the three-state antiferromagnetic Potts model on the simple-cubic lattice, paying attention to the surface critical behaviors. When the nearest neighboring interactions of the surface is tuned, we obtain a phase diagram similar to…

Statistical Mechanics · Physics 2022-07-15 Li-Ru Zhang , Chengxiang Ding , Long Zhang , Youjin Deng

For the two dimensional Ising model, we construct the adequate surface tension near criticality. The latter quantity has been shown to play a central role in the study of phase coexistence in a joint limit where the temperature approaches…

Probability · Mathematics 2007-05-23 R. J. Messikh

The theory of bulk orbital magnetization has been formulated both in reciprocal space based on Berry curvature and related quantities, and in real space in terms of the spatial average of a quantum mechanical local marker. Here we consider…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Daniel Seleznev , David Vanderbilt