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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 establish a theoretical formulation of the orbital magnetic moment in multiorbital tight-binding models, focusing on the role of the electric dipole. We demonstrate that the total magnetic moment can be decomposed into several…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Kosuke Tazuke , Takahiro Morimoto , Sota Kitamura

We derive analitycally a partial diagonalization of the Hamiltonian representing a quantum dot including spin-orbit interaction and Zeeman energy on an equal footing. It is shown that the interplay between these two terms results in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Manuel Valin-Rodriguez

We derive a multi-band formulation of the orbital magnetization in a normal periodic insulator (i.e., one in which the Chern invariant, or in 2d the Chern number, vanishes). Following the approach used recently to develop the single-band…

Materials Science · Physics 2009-11-11 Davide Ceresoli , T. Thonhauser , David Vanderbilt , R. Resta

The key formula for computing the orbital magnetization of a crystalline system has been recently found [D. Ceresoli, T. Thonhauser, D. Vanderbilt, R. Resta, Phys. Rev. B {\bf 74}, 024408 (2006)]: it is given in terms of a Brillouin-zone…

Materials Science · Physics 2007-07-19 D. Ceresoli , R. Resta

Berry phase and the related concept of Berry curvature can give rise to many unconventional phenomena in solids. In this work, we discover colossal orbital Zeeman effect of topological origin in a newly synthesized bilayer kagome metal…

We propose a new method for calculating the Chern-Simons orbital magnetoelectric coupling, conventionally parametrized in terms of a phase angle $\theta$. According to previous theories, $\theta$ can be expressed as a 3D Brillouin-zone…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Jianpeng Liu , David Vanderbilt

In this paper, we present a Kane-Mele model in the presence of magnetic field and next nearest neighbors hopping amplitudes for investigations of the spin susceptibilities of Germanene layer. Green's function approach has been implemented…

Strongly Correlated Electrons · Physics 2021-06-23 Farshad Azizi , Hamed Rezania

We show that the orbital magneto-electric effect (OME) -- the generation of a steady-state orbital angular momentum density -- is partly the result of a nonequilibrium dipole moment generated via Zitterbewegung and proportional to the…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 James H. Cullen , Daniel P. Arovas , Roberto Raimondi , Dimitrie Culcer

Magneto-optical response, i.e. optical response in the presence of a magnetic field, is commonly used for characterization of materials and in optical communications. However, quantum mechanical description of electric and magnetic fields…

Materials Science · Physics 2019-06-18 Irina V. Lebedeva , David A. Strubbe , Ilya V. Tokatly , Angel Rubio

The orbital contribution to the magnetic moment of the transition metal ion in the isostructural weak ferromagnets ACO$_3$ (A=Mn,Co,Ni) and FeBO$_3$ was investigated by a combination of first-principles calculations, non-resonant x-ray…

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

An extended formula for orbital susceptibility including corrections of the Peierls phase is introduced. By using the new developed formula, the orbital susceptibility of benzene is estimated analytically on the basis of the $\pi$ electron…

Materials Science · Physics 2016-06-29 Hiroyasu Matsuura , Masao Ogata

We consider strongly-correlated systems described by the multi-orbital Hubbard model in the atomic limit and obtain exact expressions for the chemical potential and thermopower. We show that these expressions reduce to the Heikes formula in…

Strongly Correlated Electrons · Physics 2009-11-10 Subroto Mukerjee

Recent experiments on isolated Co clusters have shown huge orbital magnetic moments in comparison with their bulk and surface counterparts. These clusters hence provide the unique possibility to study the evolution of the orbital magnetic…

Using group theory and Kane-like $\mathbf{k\cdot p}$ model together with the L\"owdining partition method, we derive the expressions of spin-orbit coupling of electrons and holes, including the linear-$k$ Rashba term due to the intrinsic…

Materials Science · Physics 2008-11-13 J. Y. Fu , M. W. Wu

An approach to analyzing the spinor wave functions that appear in the electronic structure calculations when taking the spin-orbit interaction into account is developed. It is based on the projection analysis of angular parts of wave…

Materials Science · Physics 2024-01-05 A. I. Lebedev

We address Bloch oscillations of a spin-orbit coupled atom in periodic potentials of two types: Optical and Zeeman lattices. We show that in optical lattices the spin-orbit coupling allows controlling the direction of atomic motion and may…

Quantum Gases · Physics 2016-11-22 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin , Lluis Torner

An analysis of orbital magnetization in band insulators is provided. It is shown that a previously proposed electronic orbital angular-momentum operator generalizes the ``modern theory of orbital magnetization'' to include non-local…

Materials Science · Physics 2023-07-12 Jacques K. Desmarais , Bernard Kirtman , Michel Rérat

We derive a quantum-mechanical formula of the orbital magnetic quadrupole moment (MQM) in periodic systems by using the gauge-covariant gradient expansion. This formula is valid for insulators and metals at zero and finite temperature. We…

Materials Science · Physics 2018-07-25 Atsuo Shitade , Hikaru Watanabe , Youichi Yanase