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Related papers: Dimensional crossover in dipolar magnetic layers

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Using the strong disorder renormalization group method we study numerically the critical behavior of the random transverse Ising model at a free surface, at a corner and at an edge in D=2, 3 and 4-dimensional lattices. The surface…

Disordered Systems and Neural Networks · Physics 2013-01-22 István A. Kovács , Ferenc Iglói

A crossover from $d$ to $d-1$, and then back to $d$-dimensional critical behavior is argued to be a generic feature characterizing ordering in a $d$-dimensional superlattice composed of atomically {\em thick} films of two ferromagnets. The…

Condensed Matter · Physics 2007-05-23 Lev Mikheev

In a recent work [Phys. Rev. E 109, L042102 (2024)], interesting dimensional crossovers [from two- to one-dimensional (2D to 1D) scaling] were found in the growth of Kardar-Parisi-Zhang (KPZ) interfaces on rectangular substrates, with…

Statistical Mechanics · Physics 2026-05-08 Ismael S. S. Carrasco , Tiago J. Oliveira

We report first principle numerical study of domain wall (DW) depinning in two-dimensional magnetic film, which is modeled by 2D random-field Ising system with the dipole-dipole interaction. We observe nonconventional activation-type motion…

Statistical Mechanics · Physics 2015-01-20 Bin Xi , Meng-Bo Luo , Valerii M. Vinokur , Xiao Hu

The behavior of many magnetic and dielectric solids, and the more contemporary magnetic super-lattices, is governed by dipolar interactions. They are anisotropic and long-ranged, having varied consequences ranging from ground states with…

Statistical Mechanics · Physics 2021-08-25 Shikha Kumari , Sanjay Puri , Varsha Banerjee

The critical behaviour of $d$-dimensional semi-infinite systems with $n$-component order parameter $\bm{\phi}$ is studied at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an $m$-dimensional subspace of…

Statistical Mechanics · Physics 2009-11-10 H. W. Diehl , S. Rutkevich

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

High Energy Physics - Lattice · Physics 2020-07-13 Michele Caselle , Marianna Sorba

We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In…

Statistical Mechanics · Physics 2020-04-22 Sankhya Basu , Chris A. Hooley , Vadim Oganesyan

We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential approximation including the wave function renormalization…

Statistical Mechanics · Physics 2026-05-15 Georgii Kalagov , Nikita Lebedev

Magnetic thin films and 2D arrays of magnetic nanoparticles exhibit unique physical properties that make them valuable for a wide range of technological applications. In such systems, dipolar interactions play a crucial role in determining…

Statistical Mechanics · Physics 2025-08-15 S. Ismailzadeh , M. D. Niry

Monte Carlo simulation performed on a lattice system of biaxial molecules possessing $D_{2h}$ symmetry and interacting with a second rank anisotropic dispersion potential yields three distinct macroscopic phases depending on the biaxiality…

Soft Condensed Matter · Physics 2012-05-31 Nababrata Ghoshal , Kisor Mukhopadhyay , Soumen Kumar Roy

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

We employ density functional theory to study in detail the crystallization of super-paramagnetic particles in two dimensions under the influence of an external magnetic field that lies perpendicular to the confining plane. The field induces…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Hartmut Löwen , Christos N. Likos

We analyze a controversial question about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both analytical and numerical studies performed so far support an extended Harris criterion…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Ivaneyko , B. Berche , Yu. Holovatch , J. Ilnytskyi

We study the continuum scaling limit of the critical Ising magnetization in two dimensions. We prove the existence of subsequential limits, discuss connections with the scaling limit of critical FK clusters, and describe work in progress of…

Probability · Mathematics 2012-05-15 Federico Camia

The effect of the magnetic field on the critical behavior of Sr0:9La0:1CuO2 is explored in terms of reversible magnetization data. As the correlation length transverse to the magnetic field Hi,applied along the i-axis, cannot grow beyond…

Superconductivity · Physics 2009-11-13 T. Schneider

We analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for…

Statistical Mechanics · Physics 2022-11-09 A. Kudlis , A. Pikelner

The critical behavior of semi-infinite $d$-dimensional systems with $n$-component order parameter $\bm{\phi}$ and short-range interactions is investigated at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl , A. Gerwinski , S. Rutkevich

Motivated by the interplay between 2D and 3D scaling signatures observed in unconventional layered superconductors, we present a systematic Monte Carlo study of the three-dimensional classical XY model with anisotropic in-plane…

Superconductivity · Physics 2026-03-23 Roman Kracht , Andrea Trombettoni , Ilaria Maccari , Nicolò Defenu

Motivated by the collective behaviour of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. By performing a dynamical…

Statistical Mechanics · Physics 2020-01-01 Andrea Cavagna , Luca Di Carlo , Irene Giardina , Luca Grandinetti , Tomas S. Grigera , Giulia Pisegna