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The symmetric Heisenberg exchange interaction and antisymmetric Dzyaloshinskii-Moriya interaction are parts of the tensor potential describing effective spin-spin interaction caused by the superexchange interaction of magnetic ions via…

Materials Science · Physics 2025-12-29 Pavel A. Andreev

Combining strong magnetic anisotropy with strong exchange interaction is a long standing goal in the design of quantum magnets. The lanthanide complexes, while exhibiting a very strong ionic anisotropy, usually display a weak exchange…

Strongly Correlated Electrons · Physics 2016-04-19 Veacheslav Vieru , Naoya Iwahara , Liviu Ungur , Liviu F. Chibotaru

There is a version of the Landau-Lifshitz equation that takes into account the Coulomb exchange interactions between atoms, expressed by the term $\sim\bm{s}\times\triangle\bm{s}$. On the other hand, ions in the magnetic materials have…

Materials Science · Physics 2024-01-30 Mariya Iv. Trukhanova , Pavel Andreev

Micromagnetic exchange is usually derived by performing the continuum limit of the Heisenberg model on a cubic lattice, where the exchange integrals are assumed to be identical for all nearest neighbors. This limitation normally imposes the…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 A. Di Pietro , P. Ansalone , V. Basso , A. Magni , G. Durin

We derive the microscopic spin Hamiltonian for rhombohedral CrI$_3$ using extensive first-principles density functional theory (DFT) calculations which incorporate spin-orbit coupling and Hubbard U. Our calculations indicate a dominant…

In contrast to conventional assumptions, we show that the Dzyaloshinskii-Moriya interaction can be of non-relativistic origin, in particular in materials with a non-collinear magnetic configuration, where non-relativistic contributions can…

Mapping the magnetic exchange interactions from model Hamiltonian to density functional theory is a crucial step in multi-scale modeling calculations. Considering the usual magnetic force theorem but with arbitrary rotational angles of the…

Materials Science · Physics 2010-11-23 Samir Lounis , Peter H. Dederichs

An efficient method to compute magnetic exchange interactions in systems with strong correlations is introduced. It is based on a magnetic force theorem which evaluates linear response due to rotations of magnetic moments and uses a novel…

Strongly Correlated Electrons · Physics 2007-05-23 Xiangang Wan , Quan Yin , Sergej Y. Savrasov

The spin-orbit interaction in semiconductors is shown to result in an anisotropic contribution into the exchange Hamiltonian of a pair of localized conduction-band electrons. The anisotropic exchange interaction exists in semiconductor…

Condensed Matter · Physics 2009-10-31 K. V. Kavokin

We present the formalism of linear response theory both at zero and finite temperature in the case of asymmetric nuclear matter excited by an isospin flip probe. The particle-hole interaction is derived from a general Skyrme functional that…

Nuclear Theory · Physics 2019-12-11 D. Davesne , A. Pastore , J. Navarro

Analytical expressions for the exchange interaction between $J$-multiplets of interacting metallic centers are derived on the basis of a complete electronic model. A common belief that this interaction can be approximated by an isotropic…

Strongly Correlated Electrons · Physics 2015-05-29 Naoya Iwahara , Liviu F. Chibotaru

We report a study of the anisotropic exchange interactions in bulk CrO_2 calculated from first principles within density functional theory. We determine the exchange coupling energies, using both the experimental lattice parameters and…

Materials Science · Physics 2015-03-13 H. Sims , S. J. Oset , W. H. Butler , James M. MacLaren , Martijn Marsman

We analyze possible ways to calculate magnetic exchange interactions within the density functional theory plus dynamical mean-field theory (DFT+DMFT) approach in the paramagnetic phase. Using the susceptibilities obtained within the ladder…

Strongly Correlated Electrons · Physics 2023-06-09 A. A. Katanin , A. S. Belozerov , A. I. Lichtenstein , M. I. Katsnelson

We investigate antiferromagnetic spin chains, which are coupled by a weak antiferromagnetic exchange interaction on a hexagonal lattice. We particulary study the role of the dipole-dipole interaction within the framework of a Heisenberg…

Statistical Mechanics · Physics 2009-10-31 M. Hummel , C. Pich , F. Schwabl

Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\tilde{g}}_{ab} = g_{ab} -…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

We investigate the effect of the experimentally observed Jahn-Teller distortion of the oxygen octahedra in LaTiO3 on the magnetic exchange. We present a localized model for the effective hopping between nearest-neighbor Ti ions and the…

Strongly Correlated Electrons · Physics 2009-11-10 Robert Schmitz , Ora Entin-Wohlman , Amnon Aharony , A. Brooks Harris , Erwin Mueller-Hartmann

Exchange underpins the magnetic properties of quantum matter. In its most basic form, it occurs through the interplay of Pauli's exclusion principle and Coulomb repulsion, being referred to as Coulomb exchange. Pauli's exclusion principle…

Strongly Correlated Electrons · Physics 2024-04-10 Pritam Bhattacharyya , Thorben Petersen , Nikolay A. Bogdanov , Liviu Hozoi

We perform time-dependent simulations of spin exchange for an electron pair in laterally coupled quantum dots. The calculation is based on configuration interaction scheme accounting for spin-orbit (SO) coupling and electron-electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 M. P. Nowak , B. Szafran

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

Strongly Correlated Electrons · Physics 2014-05-05 Burkhard Schmidt , Peter Thalmeier

Using ab initio wave-function-based calculations, we provide valuable insights with regard to the magnetic exchange in 5$d$ and 4$d$ oxides with face-sharing ligand octahedra, BaIrO$_3$ and BaRhO$_3$. Surprisingly strong antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-03-18 Lei Xu , Ravi Yadav , Viktor Yushankhai , Liudmila Siurakshina , Jeroen van den Brink , Liviu Hozoi