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A coupled atomistic spin and lattice dynamics approach is developed which merges the dynamics of these two degrees of freedom into a single set of coupled equations of motion. The underlying microscopic model comprises local exchange…

Materials Science · Physics 2018-01-24 J. Fransson , D. Thonig , P. F. Bessarab , S . Bhattacharjee , J. Hellsvik , L. Nordström

In complex electronic materials, coupling between electrons and the atomic lattice gives rise to remarkable phenomena, including colossal magnetoresistance and metal-insulator transitions. Charge-ordered phases are a prototypical…

Detailed analysis of the magnetic properties of the Hubbard model within dynamical mean-field theory (DMFT) is presented. Using a RPA-like decoupling of two-particle propagators we derive a universal form for susceptibilities, which…

Strongly Correlated Electrons · Physics 2012-01-06 Sebastian Schmitt , Norbert Grewe , Torben Jabben

We give an introduction into some aspects of the emerging mathematical theory of many-body localization (MBL) for disordered quantum spin chains. In particular, we discuss manifestations of MBL such as zero-velocity Lieb-Robinson bounds,…

Mathematical Physics · Physics 2019-02-15 Günter Stolz

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

Quantum Gases · Physics 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

Atomistic modeling is a widely employed theoretical method of computational materials science. It has found particular utility in the study of magnetic materials. Initially, magnetic empirical interatomic potentials or spin-polarized…

Atomic Physics · Physics 2024-07-02 Tatiana S. Kostiuchenko , Alexander V. Shapeev , Ivan S. Novikov

Metallic spin glass systems, such as dilute magnetic alloys, are characterized by randomly distributed local moments coupled to each other through a long-range electron-mediated effective interaction. We present a scalable machine learning…

Disordered Systems and Neural Networks · Physics 2023-11-29 Menglin Shi , Sheng Zhang , Gia-Wei Chern

The around-the-mean-field version of the LDA+U method is applied to investigate electron correlation effects in $\delta$-Pu. It yields a non-magnetic ground state of $\delta-$Pu, and provides a good agreement with experimental equilibrium…

Strongly Correlated Electrons · Physics 2009-11-11 Alexander B. Shick , Vaclav Drchal , Ladislav Havela

Local positional disorder in soft, anharmonic materials has emerged as a central factor in shaping their electronic, vibrational, optical, and transport properties. Viewed mainly as a source of performance degradation, recent theoretical…

Materials Science · Physics 2025-10-24 Marios Zacharias , Jacky Even

We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional ensemble of immobile two-level atoms arranged in a diamond lattice and coupled by the electromagnetic field.…

Disordered Systems and Neural Networks · Physics 2020-10-21 S. E. Skipetrov

Site dilution of spin-gapped antiferromagnets leads to localized free moments, which can order antiferromagnetically in two and higher dimensions. Here we show how a weak magnetic field drives this order-by-disorder state into a novel…

Disordered Systems and Neural Networks · Physics 2009-11-11 Rong Yu , Tommaso Roscilde , Stephan Haas

The longitudinal dipole response of a quantum dot has been calculated in the far-infrared regime using local spin density functional theory. We have studied the coupling between the collective spin and density modes as a function of the…

Condensed Matter · Physics 2009-10-31 Ll. Serra , M. Barranco , A. Emperador , M. Pi , E. Lipparini

Two classes of models of driven disordered systems that exhibit history-dependent dynamics are discussed. The first class incorporates local inertia in the dynamics via nonmonotonic stress transfer between adjacent degrees of freedom. The…

Soft Condensed Matter · Physics 2009-11-11 M. Cristina Marchetti

We focus on the localized phase of pinning models with i.i.d. site disorder on which we assume only that the moment generating function is bounded in a neighborhood of the origin. We develop quantitative correlation functions estimates for…

Probability · Mathematics 2025-04-07 Giambattista Giacomin , Marco Zamparo

The interplay of disorder and spin-fluctuation effects in a disordered antiferromagnet is studied. In the weak-disorder regime (W \le U), while the energy gap decreases rapidly with disorder, the sublattice magnetization, including quantum…

Strongly Correlated Electrons · Physics 2009-10-31 Avinash Singh , Martin Ulmke , Dieter Vollhardt

Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $\gamma $ were introduced recently which measure the non-homogeneity of…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. Markos

We introduce a network model to describe two-dimensional disordered electron systems with spin-orbit scattering. The network model is defined by a discrete unitary time evolution operator. We establish by numerical transfer matrix…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rainer Merkt , Martin Janssen , Bodo Huckestein

We revisit the metastability properties of the mixed p-spin spherical disordered models. Firstly, using known methods, we show that there is temperature chaos in a broad range of temperatures. Secondly, we modify the definition of the…

Disordered Systems and Neural Networks · Physics 2020-08-26 Damien Barbier , Leticia Cugliandolo

Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the…

Strongly Correlated Electrons · Physics 2023-06-08 Antonio Picano , Francesco Grandi , Martin Eckstein

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov