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This is a review article of our work on hysteresis, avalanches, and criticality. We provide an extensive introduction to scaling and renormalization--group ideas, and discuss analytical and numerical results for size distributions,…

Materials Science · Physics 2009-09-29 James P. Sethna , Karin A. Dahmen , Olga Perkovic

In this thesis I discuss analytical approaches to disordered systems using field theory. Disordered systems are characterized by a random energy landscape due to heterogeneities, which remains fixed on the time scales of the phenomena…

Disordered Systems and Neural Networks · Physics 2013-12-30 Alexander Dobrinevski

We derive an equation of motion for the the dynamics of a ferromagnetic domain wall driven by an external magnetic field through a disordered medium and we study the associated depinning transition. The long-range dipolar interactions set…

Materials Science · Physics 2009-10-30 Pierre Cizeau , Stefano Zapperi , Gianfranco Durin , H. Eugene Stanley

Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states.…

Strongly Correlated Electrons · Physics 2020-08-18 Lennart Klebl , Dante M. Kennes , Carsten Honerkamp

The transmission of correlated electrons through a domain wall in a ferromagnetic one dimensional system is studied theoretically in the limit of a domain wall width smaller or comparable to the electron Fermi wavelength. The domain wall…

Strongly Correlated Electrons · Physics 2007-05-23 M. A. N. Araujo , V. K. Dugaev , V. R. Vieira , J. Berakdar , J Barnas

We investigate the scaling behavior in the statistical properties of Barkhausen noise in ferromagnetic films. We apply the statistical treatment usually employed for bulk materials in experimental Barkhausen noise time series measured with…

Dynamics of the magnetization in ferromagnets is examined in the presence of transport electrons allowing the latter to interact. It is found that the existence of inhomogeneities such as domain wall (DW) structures, leads to changes that…

Strongly Correlated Electrons · Physics 2009-11-13 Paulo F. Farinas

The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point…

Nuclear Theory · Physics 2019-01-30 A. N. Kvinikhidze , M. C. Birse

We construct a many-body theory of magneto-elasticity in one dimension and show that the dynamical correlation functions of the quantum magnet, connecting the spins with phonons, involve all energy scales. Accounting for all magnetic states…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 O. Tsyplyatyev , P. Kopietz , Y. Tsui , B. Wolf , P. T. Cong , N. van Well , F. Ritter , C. Krellner , W. Aßmus , M. Lang

The functional renormalization group provides an efficient description of the interplay and competition of correlations on different energy scales in interacting Fermi systems. An exact hierarchy of flow equations yields the gradual…

Strongly Correlated Electrons · Physics 2008-10-06 Sabine Andergassen , Tilman Enss , Christoph Karrasch , Volker Meden

Most macroscopic magnetic phenomena (including magnetic hysteresis) are typically understood classically. Here, we examine the dynamics of a uniaxial rare-earth ferromagnet deep within the quantum regime, so that domain wall motion, and the…

Disordered Systems and Neural Networks · Physics 2023-09-06 C. Simon , D. M. Silevitch , P. C. E. Stamp , T. F. Rosenbaum

Lattice Monte-Carlo simulations were performed to study the equilibrium ordering in a two-dimensional nematic system with quenched random disorder. When the disordering field, which competes against the aligning effect of the Frank…

Disordered Systems and Neural Networks · Physics 2009-10-31 Y. -K. Yu , P. L. Taylor , E. M. Terentjev

We report experimental measurements of Barkhausen noise on Fe_{64}Co_{21}B_{15} amorphous alloy under tensile stress. We interpret the scaling behavior of the noise distributions in terms of the depinning transition of the domain walls. We…

Materials Science · Physics 2009-10-31 Gianfranco Durin , Stefano Zapperi

We review the present state of understanding of the Barkhausen effect in soft ferromagnetic materials. Barkhausen noise (BN) is generated by the discontinuous motion of magnetic domains as they interact with impurities and defects. BN is…

Statistical Mechanics · Physics 2009-02-19 Francesca Colaiori

Barkhausen noise in disordered ferromagnets is typically understood to originate primarily from jerky field-driven motion of domain walls. We study the magnetization reversal process in disordered permalloy thin films using micromagnetic…

Materials Science · Physics 2024-06-21 Sami Kaappa , Lasse Laurson

We show how the interplay of non-linear dynamics, self-gravity, and fluctuations leads to self-affine behavior of matter density correlations quite generically, i.e., with a power-law exponent whose value does not depend in a very direct…

Astrophysics · Physics 2007-05-23 A. Dominguez , D. Hochberg , J. M. Martin-Garcia , J. Perez-Mercader , L. S. Schulman

We present a general method to study weak-coupling instabilities of a large class of interacting electron models in a controlled and unbiased way. Quite generally, the electron gas is unstable towards a superconducting state even in the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Binz , D. Baeriswyl , B. Doucot

We investigate equilibrium and steady-state non-equilibrium transport properties of a spinless resonant level locally coupled to two conduction bands of width ~\Gamma via a Coulomb interaction U and a hybridization t'. In order to study the…

Strongly Correlated Electrons · Physics 2015-05-14 C. Karrasch , M. Pletyukhov , L. Borda , V. Meden

We studied the statics and dynamics of elastic manifolds in disordered media with long-range correlated disorder using functional renormalization group (FRG). We identified different universality classes and computed the critical exponents…

Disordered Systems and Neural Networks · Physics 2017-08-23 Andrei A. Fedorenko

The ground state of an elastic interface in a disordered medium undergoes collective jumps upon variation of external parameters. These mesoscopic jumps are called shocks, or static avalanches. Submitting the interface to a parabolic…

Disordered Systems and Neural Networks · Physics 2016-07-27 Thimothée Thiery , Pierre Le Doussal , Kay Jörg Wiese