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To study non-Heisenberg effects in the vicinity of spin crossover in strongly correlated electron systems we derive an effective low-energy Hamiltonian for the two-band Kanamori model. It contains Heisenberg high-spin term proportional to…

Strongly Correlated Electrons · Physics 2019-10-22 V. I. Kuz'min , Yu. S. Orlov , A. E. Zarubin , T. M. Ovchinnikova , S. G. Ovchinnikov

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

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 use ab initio electronic structure calculations within the generalized gradient approximation (GGA+U) to density functional theory (DFT) to determine the microscopic exchange interactions in the series of orthorhombic rare-earth…

Materials Science · Physics 2015-04-22 Natalya S. Fedorova , Claude Ederer , Nicola A. Spaldin , Andrea Scaramucci

These are introductory lectures to some aspects of the physics of strongly correlated electron systems. I first explain the main reasons for strong correlations in several classes of materials. The basic principles of dynamical mean-field…

Strongly Correlated Electrons · Physics 2009-09-29 Antoine Georges

Anisotropic superexchange interaction is one of the most important interactions in realizing exotic quantum magnetism, which is traditionally regarded to originate from magnetic ions and has no relation with the nonmagnetic ions. In our…

Strongly Correlated Electrons · Physics 2020-10-13 Jun Chang , Jize Zhao , Yang Ding

In the present paper an influence of the anisotropic antisymmetric exchange interaction, the Dzialoshinskii-Moriya (DM) interaction, on entanglement of two qubits in various magnetic spin models, including the pure DM model and the most…

Quantum Physics · Physics 2008-04-07 Zeynep Nilhan Gurkan , Oktay K. Pashaev

The large interest in chiral magnetic structures for realization of nanoscale magnetic storage or logic devices has necessitated methods which can quantify magnetic interactions at the atomic scale. To overcome the limitations of the…

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…

We perform a symmetry analysis of the ABC-stacked kagome planes of Mn atoms common to the $L1_2$ Mn$_3$X and antiperovskite Mn$_3$AB alloys. In addition to the single-ion-anisotropy and Kitaev-type anisotropic exchange known to stabilize…

Strongly Correlated Electrons · Physics 2023-02-22 J. S. R. McCoombs , A. Zelenskiy , M. L. Plumer , B. W. Southern , T. L. Monchesky

The correct interpretation of magnetic properties in the weak-exchange regime has remained a challenging task for several decades. In this regime, the effective exchange interaction between local spins is quite weak, of the same order of…

Chemical Physics · Physics 2024-01-10 Dumitru-Claudiu Sergentu , Boris Le Guennic , Rémi Maurice

The book includes all main physical properties of d- and f-transition-metal systems and corresponding theoretical concepts. Especial attention is paid to the theory of magnetism and transport phenomena. Some examples of non-traditional…

Condensed Matter · Physics 2021-09-01 V. Yu. Irkhin , Yu. P. Irkhin

The size of micromagnetic structures, such as domain walls or vortices, is comparable to the exchange length of the ferromagnet. Both, the exchange length of the stray field $l_s$ and the magnetocrystalline exchange length $l_k$ are…

Computational Physics · Physics 2015-06-18 Christian Andreas , Sebastian Gliga , Riccardo Hertel

We derive ab inito exchange parameters for general non-collinear magnetic configurations, in terms of a multiple scattering formalism. We show that the general exchange formula has an anisotropic-like term even in the absence of spin-orbit…

Materials Science · Physics 2013-05-08 A. Szilva , M. Costa , A. Bergman , L. Szunyogh , L. Nordström , O. Eriksson

We determine the Dzyaloshinskii-Moriya interaction within and between two magnetic cobalt layers separated by a non-magnetic spacer through ab initio calculations. We investigate different materials for the non-magnetic layer, focusing on…

Materials Science · Physics 2024-08-29 Tim Matthies , Levente Rózsa , László Szunyogh , Roland Wiesendanger , Elena Y. Vedmedenko

The calculation of interatomic magnetic exchange interactions entering the Heisenberg model from the standpoint of the density functional theory (DFT) is outlined for two Fe-based molecular magnets: a trinuclear complex with a Schiff base…

Materials Science · Physics 2007-05-23 A. V. Postnikov , G. Bihlmayer , S. Bluegel

A treatment of many-electron polar and $s-d(f)$ exchange models is carried out in connection with the development of the theory of magnetism of transition and rare-earth metals, as well as their compounds. Particular emphasis is placed on…

Strongly Correlated Electrons · Physics 2021-02-18 Valentin Yu. Irkhin

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

The influence of the spin-orbit interactions on the energy spectrum of two-electron laterally coupled quantum dots is investigated. The effective Hamiltonian for a spin qubit pair proposed in F. Baruffa et al., Phys. Rev. Lett. 104, 126401…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Fabio Baruffa , Peter Stano , Jaroslav Fabian

Spin models arise in the microscopic description of magnetic materials, where the macroscopic characteristics are governed by exchange interactions among the constituent magnetic moments. Recently, there has been a growing interest in…

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