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A few $4d$ and $5d$ transition metal compounds with various electron fillings were recently found to exhibit magnetic susceptibilities $\chi$ and magnetic moments that deviate from the well-established Kotani model. This model has been…

Strongly Correlated Electrons · Physics 2024-08-05 Ying Li , Ram Seshadri , Stephen D. Wilson , Anthony K. Cheetham , Roser Valenti

Working in the Wannier representation, we derive an expression for the orbital magnetization of a periodic insulator. The magnetization is shown to be comprised of two contributions, an obvious one associated with the internal circulation…

Materials Science · Physics 2007-05-23 T. Thonhauser , Davide Ceresoli , David Vanderbilt , R. Resta

Based on standard perturbation theory, we present a full quantum derivation of the formula for the orbital magnetization in periodic systems. The derivation is generally valid for insulators with or without a Chern number, for metals at…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junren Shi , G. Vignale , Di Xiao , Qian Niu

Motivated by experimental and theoretical interest in realizing multipolar orders in $d$-orbital materials, we discuss the quantum magnetism of $J\!=\!2$ ions which can be realized in spin-orbit coupled oxides with $5d^2$ transition metal…

Strongly Correlated Electrons · Physics 2020-03-18 Arun Paramekanti , Dalini D. Maharaj , Bruce D. Gaulin

Theory of Rashba spin-orbit coupling in magnetic metals is worked out from microscopic Hamiltonian describing d-orbitals. When structural inversion symmetry is broken, electron hopping between $d$-orbitals generates chiral ordering of…

Mesoscale and Nanoscale Physics · Physics 2013-01-07 Jin-Hong Park , Choong H. Kim , Hyun-Woo Lee , Jung Hoon Han

Non-resonant ferromagnetic x-ray diffraction has been used to separate the spin and orbital contribution to the magnetization density of the proposed zero-moment ferromagnet $Sm_{0.982}Gd_{0.018} Al_{2}$. The alignment of the spin and…

Condensed Matter · Physics 2009-11-07 J. W. Taylor , J. A. Duffy , A. M. Bebb , M. R. Lees , L. Bouchenoire , S. D. Brown , M. J. Cooper

Ferromagnetism in the two-dimensional CrI$_3$ has generated a lot of excitement, and it was recently proposed that the spin-orbit coupling (SOC) in Iodine may generate bond-dependent spin interactions leading to magnetic anisotropy. Here we…

Strongly Correlated Electrons · Physics 2021-03-17 P. Peter Stavropoulos , Xiaoyu Liu , Hae-Young Kee

Single crystal neutron diffraction, inelastic neutron scattering, bulk magnetization measurements, and first-principles calculations are used to investigate the magnetic properties of the honeycomb lattice $\rm Tb_2Ir_3Ga_9$. While the…

In this chapter we review the quantitative and qualitative aspects of describing the properties of magnetic solids on the basis of electronic Hamiltonian. We show that a spin Hamiltonian approach becomes consistent with an electronic…

Strongly Correlated Electrons · Physics 2016-06-17 Myung-Hwan Whangbo , Hongjun Xiang

Using a semiclassical Green's function formalism, we discover the emergence of chiral and topological orbital magnetism in two-dimensional chiral spin textures by explicitly finding the corrections to the orbital magnetization, proportional…

Materials Science · Physics 2017-06-20 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Quantum magnets with spin $J=2$, which arise in spin-orbit coupled Mott insulators, can potentially display multipolar orders. We carry out an exact diagonalization study of a simple octahedral crystal field Hamiltonian for two electrons,…

Strongly Correlated Electrons · Physics 2020-04-17 Sreekar Voleti , Dalini D. Maharaj , Bruce D. Gaulin , Graeme Luke , Arun Paramekanti

$\gamma$-${\rm Ba}_{3}{\rm CoNb}_{2}{\rm O}_{9}$ realizes a disordered simple-cubic spin-$1/2$ lattice in which Co$^{2+}$ ions randomly occupy one third of the sites, placing the system close to the site-percolation threshold for magnetic…

We numerically calculate the magnetization by applying the magnetic field ($B$) perpendicular to two-dimensional corbino disk system without electron spin. We obtain that the period of the Aharonov-Bohm (AB) oscillations of magnetization…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Katsumi Itahashi , Keita Kishigi , Yasumasa Hasegawa

We employ the Gutzwiller variational approach to investigate the interplay of Coulomb interaction and spin-orbit coupling in a three-orbital Hubbard model. Already in the paramagnetic phase we find a substantial renormalization of the…

Strongly Correlated Electrons · Physics 2016-07-20 Jörg Bünemann , Thorben Linneweber , Ute Löw , Frithjof B. Anders , Florian Gebhard

We investigate the magnetic-field effects on a two-orbital Hubbard model that describes multiple spin states. Cobalt oxides have been investigated as materials possessing spin-state degrees of freedom due to the interplay between the Hund…

Strongly Correlated Electrons · Physics 2024-12-11 Ryota Koga , Joji Nasu

The recent observations of ferromagnetic order in several two-dimensional (2D) materials have generated an enormous interest in the physical mechanisms underlying 2D magnetism. In the present prospective article we show that Density…

Materials Science · Physics 2020-02-18 Thomas Olsen

The orbital magnetic moment is still surprisingly not well understood, in contrast to the spin part. Its description in finite systems, such as isolated atoms and molecules, is not problematic, but it was only recently that a rigorous…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Sascha Brinker , Manuel dos Santos Dias , Samir Lounis

We investigate magnetic properties induced by a spinless impurity in strongly correlated electron systems, i.e. the Hubbard model in the spatial dimension $D=1,2,$ and 3. For the 1D system exploiting the Bethe ansatz exact solution we find…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

We review the magnetic and orbital ordered states in \cro{} by performing Resonant Elastic X-ray Scattering (REXS) at the Ru L$_{2,3}$-edges. In principle, the point symmetry at Ru sites does not constrain the direction of the magnetic…

Strongly Correlated Electrons · Physics 2018-09-27 D. G. Porter , V. Granata , F. Forte , S. Di Matteo , M. Cuoco , R. Fittipaldi , A. Vecchione , A. Bombardi

A systematic study of magnetocrystalline anisotropy is performed for R(La/Ce/Nd)2Fe14B tetragonal compound with the site substitution mechanism. Theoretical calculation suggests the 50% doping with Ce at 4f-site can lead to competitive…

Materials Science · Physics 2018-06-07 Rajiv K. Chouhan , Arjun K. Pathak , D. Paudyal , V. K. Pecharsky
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