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We present a rigorous derivation of the matrix elements of the orbital magnetic moment (OMM) of Bloch states. Our calculations include the Berry connection term in the k-derivatives of Bloch states, which was omitted in previous works. The…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Tarik P. Cysne , Ivo Souza , Tatiana G. Rappoport

We present a theoretical study of the low-energy physics of a quarter-hole-filled two-orbital bilayer Hubbard model motivated by transition-metal bilayer systems with strong orbital-selective interlayer hybridization. By explicitly treating…

Strongly Correlated Electrons · Physics 2026-01-13 Guijing Duan , Yunlong Wang , Zhiguang Liao , Changle Liu , Rong Yu

There have been recent reports of charge ordering around $x=0.5$ in the bilayer manganites. At $x=0.5$, there appears to be a coexistence region of layered A-type antiferromagnetc and charge order. There are also reports of orbital order in…

Strongly Correlated Electrons · Physics 2009-11-11 T. Maitra , A. Taraphder , H. Beck

State-of-the-art developments in magnetic devices rely on manufacturing faster, more efficient memory elements. A significant development in this direction has been the discovery of orbital torques, which employ the orbital angular momentum…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 James H. Cullen , Zhanning Wang , Dimitrie Culcer

Despite recent advances in orbitronics, the influence of disorder on the orbital Hall effect and orbital relaxation mechanisms remains poorly understood. In this work, we numerically investigate the role of disorder in orbital transport…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Anderson L. R. Barbosa , Hyun-Woo Lee , Tatiana G. Rappoport

Large charge-to-spin conversion (spin Hall angle) and spin Hall conductivity are prerequisites for development of next generation power efficient spintronic devices. In this context, heavy metals (e.g. Pt, W etc.), topological insulators,…

We discuss a new mechanism of orbital ordering, which in charge transfer insulators is more important than the usual exchange interactions and which can make the very type of the ground state of a charge transfer insulator, i.e. its orbital…

Strongly Correlated Electrons · Physics 2009-11-10 Maxim Mostovoy , Daniel Khomskii

We show that the recently observed chirality in the charge ordered phase of TiSe2 can be understood as a form of orbital ordering. The microscopic mechanism driving the transition between the novel chiral state and the non-chiral charge…

Strongly Correlated Electrons · Physics 2011-12-19 Jasper van Wezel

Spin-orbit torques due to interfacial Rashba and spin Hall effects have been widely considered as a potentially more efficient approach than the conventional spin-transfer torque to control the magnetization of ferromagnets. We report a…

Materials Science · Physics 2022-09-07 Liupeng Yang , Yining Fei , Kaiyuan Zhou , Lina Chen , Qingwei Fu , Liyuan Li , Cunjie Yan , Haotian Li , Youwei Du , Ronghua Liu

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 investigated the Cu/Ni-O$_2$ bilayer multi-orbital Hubbard model with Cu/Ni impurity approximation embedded in the O lattice by incorporating the 3d$^{8}$ multiplet structure coupled to a full O-2p band. For this simplified model of…

Strongly Correlated Electrons · Physics 2023-08-29 Chenye Qin , Mi Jiang

Understanding the mechanism driving magnetization switching in spin-orbit-torque-assisted devices remains a subject of debate. While originally attributed to the spin Hall effect and spin Rashba-Edelstein effect, recent discoveries related…

Extensive efforts have been devoted to the study of spin-orbit torque in ferromagnetic metal/heavy metal bilayers and exploitation of it for magnetization switching using an in-plane current. As the spin-orbit torque is inversely…

Materials Science · Physics 2016-05-18 Yanjun Xu , Yumeng Yang , Kui Yao , Baoxi Xu , Yihong Wu

In bilayer systems consisting of an ultrathin ferromagnetic layer adjacent to a metal with strong spin-orbit coupling, an applied in-plane current induces torques on the magnetization. The torques that arise from spin-orbit coupling are of…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Paul M. Haney , Hyun-Woo Lee , Kyung-Jin Lee , Aurélien Manchon , M. D. Stiles

Spin currents offer a way to control static and dynamic magnetic properties, and therefore they are crucial for next-generation MRAM devices or spin-torque oscillators. Manipulating the dynamics is especially interesting within the context…

Spin-orbit torque (SOT) in the heavy elements with a large spin-orbit coupling (SOC) has been frequently used to manipulate the magnetic states in spintronic devices. Recent theoretical works have predicted that the surface oxidized light…

Materials Science · Physics 2024-05-13 Kun Zheng , Cuimei Cao , Yingying Lu , Jing Meng , Junpeng Pan , Zhenjie Zhao , Yang Xu , Tian Shang , Qingfeng Zhan

Current induced spin-orbit torques have been studied in ferromagnetic nanowires made of 20 nm thick Co/Pd multilayers with perpendicular magnetic anisotropy. Using Hall voltage and lock-in measurements, it is found that upon injection of an…

We consider electrons on a two-leg triangular ladder at half-filling and in an orbital magnetic field. In a two-band regime in the absence of the field, the electronic system remains conducting for weak interactions since there is no…

Strongly Correlated Electrons · Physics 2010-11-18 Hsin-Hua Lai , Olexei I. Motrunich

The shape of 3$d$-orbitals often governs the electronic and magnetic properties of correlated transition metal oxides. In the superconducting cuprates, the planar confinement of the $d_{x^2-y^2}$ orbital dictates the two-dimensional nature…

The nonlinear Hall effect is a new type of Hall effect that has recently attracted significant attention. For the physical origin of the nonlinear Hall effect, while orbital magnetization has long been hypothesized to underpin the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Zesheng Zhang , Xin-Zhi Li , Wen-Yu He