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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

The orbital magnetization of the electron gas on a two-dimensional kagome lattice under a perpendicular magnetic field is theoretically investigated. The interplay between the lattice geometry and magnetic field induce nontrivial $k$-space…

Mesoscale and Nanoscale Physics · Physics 2010-02-01 Zhigang Wang , Zi-Gang Yuan , Zhen-Guo Fu , Shu-Shen Li , Ping Zhang

We propose an orbital magnetothermal effect wherein a temperature gradient generates an orbital magnetization (OM) for Bloch electrons, and we present a unified theory for electrically and thermally induced OM, valid for both metals and…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Cong Xiao , Huiying Liu , Jianzhou Zhao , Shengyuan A. Yang , Qian Niu

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

We study the intrinsic orbital magnetization (OM) in antiferromagnets on the distorted face-centered-cubic lattice. The combined lattice distortion and spin frustration induce nontrivial $k$-space Chern invariant, which turns to result in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Zhigang Wang , Ping Zhang , Junren Shi

In the field of orbital dynamics and orbital transport, a particularly important quantity is the so-called orbital Hall conductivity (OHC), which is expressed in terms of operators of velocity and orbital angular momentum (OAM). To overcome…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Mirco Sastges , Insu Baek , Hojun Lee , Hyun-Woo Lee , Yuriy Mokrousov , Dongwook Go

A general mechanism by which orbital ordering, coupled to Peierls-like lattice distortions, can induce an electronic switchable polarization is discussed within a model Hamiltonian approach in the context of the modern theory of…

Strongly Correlated Electrons · Physics 2015-02-17 Paolo Barone , Silvia Picozzi

We investigate one dimensional tight binding model in the presence of a correlated binary disorder. The disorder is due to the interaction of particles with heavy immobile other species. Off-diagonal disorder is created by means of a fast…

Disordered Systems and Neural Networks · Physics 2016-10-25 Arkadiusz Kosior , Jan Major , Marcin Płodzień , Jakub Zakrzewski

Under suitable conditions, some twisted graphene multilayers and transition-metal dichalcogenides become Chern insulators, exhibiting the anomalous quantum Hall effect and orbital magnetization due to spontaneous valley polarization. We…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 Sergey S. Pershoguba , Victor M. Yakovenko

Recent experiments on current-induced domain wall motion in chiral magnets suggest important contributions both from spin-orbit torques (SOTs) and from the Dzyaloshinskii-Moriya interaction (DMI). We derive a Berry phase expression for the…

Materials Science · Physics 2014-02-21 Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Recently, signatures of quantum anomalous Hall states with spontaneous ferromagnetism were observed in twisted bilayer graphenes (TBGs) near 3/4 filling [1, 2]. Importantly, it was demon-strated that an extremely small current can switch…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Wen-Yu He , David Goldhaber-Gordon , K. T. Law

Formulas for the contribution of the conduction electrons to the polarization and magnetization are derived for disordered systems and within a one-particle framework. These results generalize known formulas for Bloch electrons and the…

Mathematical Physics · Physics 2014-01-10 Hermann Schulz-Baldes , Stefan Teufel

We theoretically study current-induced orbital magnetization in a chiral crystal. This phenomenon is an orbital version of the Edelstein effect. We propose an analogy between the current-induced orbital magnetization and an Amp\`ere field…

Mesoscale and Nanoscale Physics · Physics 2018-03-08 Taiki Yoda , Takehito Yokoyama , Shuichi Murakami

We show that when the electron and hole densities are unbalanced, observable nonlinear anomalous Hall effect and current-induced orbital magnetization appear at zero magnetic field in the weak charge ordering (CO) state of an organic…

Strongly Correlated Electrons · Physics 2020-10-21 Toshihito Osada , Andhika Kiswandhi

In this review article, we survey the relatively new theory of orbital magnetization in solids-often referred to as the "modern theory of orbital magnetization"-and its applications. Surprisingly, while the calculation of the orbital…

Materials Science · Physics 2015-03-19 T. Thonhauser

We study a system of spinless electrons moving in a two dimensional noncommutative space subject to a perpendicular magnetic field $\vec B$ and confined by a harmonic potential type ${1\over 2}mw_{0}r^2$. We look for the orbital magnetism…

High Energy Physics - Theory · Physics 2008-11-26 Ahmed Jellal

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

Magnetic orders characterized by multiple ordering vectors harbor noncollinear and noncoplanar spin textures and can be a source of unusual electronic properties through the spin Berry phase mechanism. We theoretically show that such…

Strongly Correlated Electrons · Physics 2016-07-22 Satoru Hayami , Ryo Ozawa , Yukitoshi Motome

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

In the absence of time reversal symmetry, orbital magnetization provides a sensitive probe of topology and interactions, with particularly rich phenomenology in Chern insulators where topological edge states carry large equilibrium…