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We derive an exact expression for the orbital magnetization of electrons with short-range interactions (such as density-density interactions) in terms of exact zero-frequency response functions of the zero-field system. The result applies…

Strongly Correlated Electrons · Physics 2026-02-03 Xi Chen , Zhi-Da Song

We study the magnetic orbital response of a system of N interacting electrons confined in a two-dimensional geometry and subjected to a perpendicular magnetic field in the finite temperature Hartree-Fock approximation. The electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 L. G. G. V. Dias da Silva , Caio H. Lewenkopf , Nelson Studart

Spin-orbit coupling introduces chirality into electronic structure. This can have profound effects on the magnetization induced by orbital motion of electrons. Here we derive a formula for the orbital magnetization of interacting electrons…

Strongly Correlated Electrons · Physics 2014-09-23 R. Nourafkan , G. Kotliar , A. -M. S. Tremblay

Recent observations of quantum anomalous Hall effects in moir\'e systems have revealed the emergence of interaction-driven ferromagnetism with significant orbital contributions. To capture this physics, we extend the modern theory of…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Xiaoyu Liu , Chong Wang , Haoran Chen , Xiao-Wei Zhang , Ting Cao , Di Xiao

We derive an exact formula of orbital susceptibility expressed in terms of Bloch wave functions, starting from the exact one-line formula by Fukuyama in terms of Green's functions. The obtained formula contains four contributions: (1)…

Materials Science · Physics 2016-02-09 Masao Ogata , Hidetoshi Fukuyama

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

Orbital magnetization is known empirically to play an important role in several magnetic phenomena, such as permanent magnetism and ferromagnetic superconductivity. Within the recently developed ''modern theory of orbital magnetization'',…

Strongly Correlated Electrons · Physics 2019-08-28 Tor Jonas Sjöstrand , Krister Karlsson , Ferdi Aryasetiawan

Orbital magnetic susceptibility involves rich physics such as interband effects despite of its conceptual simplicity. In order to appreciate the rich physics related to the orbital magnetic susceptibility, it is essential to derive a…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Toshikaze Kariyado , Hiroyasu Matsuura , Masao Ogata

External non-uniform magnetic fields acting on molecules induce non-collinear spin-densities and spin-symmetry breaking. This necessitates a general two-component Pauli spinor representation. In this paper, we report the implementation of a…

Chemical Physics · Physics 2018-05-23 Sangita Sen , Erik I. Tellgren

We develop a gauge-independent perturbation theory for the grand potential of itinerant electrons in two-dimensional tight-binding models in the presence of a perpendicular magnetic field. At first order in the field, we recover the result…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 A. Raoux , F. Piéchon , J. N. Fuchs , G. Montambaux

A semiclassical theory for the orbital magnetization due to adiabatic evolutions of Bloch electronic states is proposed. It renders a unified theory for the periodic-evolution pumped orbital magnetization and the orbital magnetoelectric…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Cong Xiao , Yafei Ren , Bangguo Xiong

The availability of large magnetic fields at international facilities and of simulated magnetic fields that can reach the flux-quantum-per-unit-area level in cold atoms, calls for systematic studies of orbital effects of the magnetic field…

Strongly Correlated Electrons · Physics 2018-08-20 S. Acheche , L-F. Arsenault , A. -M. S. Tremblay

We study the behavior of the magnetization and the magnetic susceptibility of molecular magnets with complex bridging structure. Our computations are based on a post-Hartree-Fock method accounting for the intricate network of interatomic…

Strongly Correlated Electrons · Physics 2020-03-30 M. Georgiev , H. Chamati

We study the magnetic response of mesoscopic metallic isolated networks. We calculate the average and typical magnetizations in the diffusive regime for non-interacting electrons or in the first order Hartree-Fock approximation. These…

Condensed Matter · Physics 2009-10-28 Michael Pascaud , Gilles Montambaux

The orbital contribution to the magnetic properties of Fe in systems of decreasing dimensionality (bulk, surfaces, wire and free clusters) is investigated using a tight-binding hamiltonian in an $s, p,$ and $d$ atomic orbital basis set…

Materials Science · Physics 2008-04-22 Marie-Catherine Desjonquères , Cyrille Barreteau , Gabriel Autes , Daniel Spanjaard

The magnetic properties of a circular graphene nanoribbon (carbon belt) in a magnetic field parallel to its central axis is studied using a tight-binding model. Orbital magnetic susceptibility is calculated using an analytical expression of…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Norio Inui

We consider the time evolution of the magnetization in a Rashba spin-orbit-coupled Fermi gas, starting from a fully-polarized initial state. We model the dynamics using a Boltzmann equation, which we solve in the Hartree-Fock approximation.…

Quantum Gases · Physics 2014-03-12 Juraj Radic , Stefan S. Natu , Victor Galitski

Paramagnetism or diamagnetism of a material are shown by parallel or antiparallel directions, respectively, of the induced magnetization under the influence of external magnetic field. Theoretical study of paramagnetic susceptibility and…

Strongly Correlated Electrons · Physics 2023-11-15 Adam B. Cahaya

Orbital magnetism is a purely quantum phenomenon that reflects intrinsic electronic properties of solids, yet its microscopic description in interacting multiband systems remains incomplete. We develop a general quantum many-body framework…

Strongly Correlated Electrons · Physics 2026-01-22 Mengxing Ye

We propose that the orbital angular momentum of the conduction electrons in the Iron-based superconductors is activated in their low energy physics. Using a five-band tight-binding model derived from fitting the LDA band structure, we find…

Superconductivity · Physics 2011-08-03 Yuehua Su , Tao Li
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