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A ferromagnetic coupling between localized Mn spins was predicted in a series of \textit{ab initio} and tight binding calculations and experimentally verified for the dilute magnetic semiconductor Ga$_{1-x}$Mn$_x$N. In the limit of small Mn…

Materials Science · Physics 2020-12-30 D. Sztenkiel , K. Gas , J. Z. Domagala , D. Hommel , M. Sawicki

The method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model…

Strongly Correlated Electrons · Physics 2016-11-09 O. M. Sotnikov , V. V. Mazurenko

We study magnetic properties of CrO$_2$ within the density functional theory plus dynamical mean-field theory (DFT+DMFT) approach in the paramagnetic phase. We consider the 3-orbital (per Cr site) model, containing only $t_{2g}$ states, the…

Strongly Correlated Electrons · Physics 2024-10-15 A. A. Katanin

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

Employing first-principles electronic structure calculations in conjunction with the frozen-magnon method we study the effective exchange interactions and spin waves in local moment ferromagnets. As prototypes we have chosen three…

Materials Science · Physics 2012-10-30 I. Galanakis , E. Sasioglu

In this paper, we introduce an efficient, linear algebra-based method for optimizing supercell selection to determine Heisenberg exchange parameters from DFT calculations. A widely used approach for deriving these parameters involves…

Materials Science · Physics 2025-04-24 Mojtaba Alaei , Artem R. Oganov

Density functional theory has demonstrated remarkable predictive power in calculating magnetic properties at zero temperature. At finite temperatures, thermally excited phonons may affect magnetism. Efficient ab-initio methods to calculate…

Strongly Correlated Electrons · Physics 2025-10-21 Ravi Kaushik , Ryota Ono , Sergey Artyukhin

First principles density functional theory based calculations have been carried out to predict the effects of Mn replacement by Fe and Cr on electronic as well as magnetic properties of Pt$_{2}$MnGa as well as Ni$_{2}$MnGa. All the…

Materials Science · Physics 2017-08-02 Tufan Roy , Aparna Chakrabarti

The classical Heisenberg model is applied in a Monte Carlo study to investigate the distance dependence of the indirect nearest neighbor (NN) exchange and next-nearest neighbor (NNN) superexchange interaction in EuO, EuS, EuSe and EuTe. For…

Materials Science · Physics 2010-05-10 W. Söllinger , W. Heiss , R. T. Lechner , K. Rumpf , P. Granitzer , H. Krenn , G. Springholz

We present a novel approach to spin manipulation in atomic-scale nanostructures. Our ab initio calculations clearly demonstrate that it is possible to tune magnetic properties of sub-nanometer structures by adjusting the geometry of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. O. Brovko , P. A. Ignatiev , V. S. Stepanyuk , P. Bruno

The symmetric (Heisenberg) exchange interaction is fundamental to magnetism and assumes critical importance in designing magnetic materials for novel emergent phenomena and device applications. However, quantifying exchange is extremely…

Magnetic properties of Ga$_{1-x}$Mn$_x$N are studied theoretically by employing a tight binding approach to determine exchange integrals $J_{ij}$ characterizing the coupling between Mn spin pairs located at distances $R_{ij}$ up to the 16th…

Materials Science · Physics 2014-07-14 C. Simserides , J. A. Majewski , K. N. Trohidou , T. Dietl

First-principles calculations are used to investigate the magnetic properties of Ti$_{1-x}$Cr$_{x}$N solid solutions. We show that the magnetic interactions between Cr spins that favour antiferromagnetism in CrN is changed upon alloying…

Materials Science · Physics 2010-12-14 B. Alling

The interparticle interactions in a magnetic nanocomposite play a dominant role in controlling the phase transitions superparamagnetic to superspinglass to superferromagnetic. These interactions can be tuned by controlling the size and…

Materials Science · Physics 2016-07-27 V. Thiruvengadam , Satish Vitta

We present a variational method to calculate the exchange interactions among donor clusters in a semiconductor. Such clusters are candidates for a so-called control-qubit architecture for quantum information, where the effective exchange…

Materials Science · Physics 2007-11-02 W. Wu , P. T. Greenland , A. J. Fisher

The physical properties of magnetic nanoparticles have been investigated with focus on the influence of dipolar interparticle interaction. For weakly coupled nanoparticles, thermodynamic perturbation theory is employed to derive analytical…

Materials Science · Physics 2016-08-31 Petra E. Jönsson

We derive the form of the cross-Kerr interaction in a four-level atomic system in the N-configuration. We use time-independent perturbation theory to calculate the eigenenergies and eigenstates of the Schrodinger equation for the system.…

Quantum Physics · Physics 2009-11-13 Gary F. Sinclair , Natalia Korolkova

We perform first-principles calculations of multiferroic Ca$_3$CoMnO$_6$ and evaluate the exchange coupling constants using the Green's function method. We clarify the effect of intra-chain and inter-chain exchange interactions on magnetic…

Strongly Correlated Electrons · Physics 2014-04-16 Miho Nishida , Fumiyuki Ishii , Mineo Saito

Magnetic skyrmions are two-dimensional non-collinear spin textures characterised by an integer topological number. They commonly crystallise at low temperatures in bulk noncentrosymmetric ferromagnets where the lack of inversion symmetry…

This article gives a comprehensive review on the recent studies of the double exchange systems using non-perturbative approaches; the dynamical mean-field theory and the Monte Carlo method. Investigations beyond mean-field type treatments…

Strongly Correlated Electrons · Physics 2007-05-23 N. Furukawa