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Related papers: Real-Space Spectral Approach to Orbital Magnetizat…

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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

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

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

The modern theory of orbital magnetization addresses crystalline materials at the noninteracting level: therein the observable is the k-space integral of a geometrical integrand. Alternatively, magnetization admits a local representation in…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Enrico Drigo , Raffaele Resta

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

The modern theory of orbital magnetization (OM) was developed by using Wannier function method, which has a formalism similar with the Berry phase. In this manuscript, we perform a numerical study on the fate of the OM under disorder, by…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Si-Si Wang , Yan-Yang Zhang , Ji-Huan Guan , Yan Yu , Yang Xia , Shu-Shen Li

Kohn-Sham density functional theory calculations using conventional diagonalization based methods become increasingly expensive as temperature increases due to the need to compute increasing numbers of partially occupied states. We present…

Chemical Physics · Physics 2022-03-23 Qimen Xu , Xin Jing , Boqin Zhang , John E. Pask , Phanish Suryanarayana

We develop a real-space first-principles method based on density functional theory to investigate orbitronic phenomena in complex materials. Using the Real-Space Linear Muffin-Tin Orbital method within the Atomic Sphere Approximation…

Materials Science · Physics 2025-08-21 Ramon Cardias , Hugo U. R. Strand , Anders Bergman , A. B. Klautau , Tatiana G. Rappoport

We compute the orbital magnetization in real materials by evaluating a recently discovered formula for periodic systems, within density functional theory. We obtain improved values of the orbital magnetization in the ferromagnetic metals…

Materials Science · Physics 2010-02-19 Davide Ceresoli , Uwe Gerstmann , Ari P. Seitsonen , Francesco Mauri

Orbital magnetization (OM) in Sierpinski carpet (SC) and triangle (ST) fractal is theoretically investigated by using Haldane model as a prototypical example. The OM calculation is performed following two distinct approaches; employing the…

Materials Science · Physics 2026-03-30 L. L. Lage , Tarik. P. Cysne , A. Latgé

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

Magnetization is thermodynamically defined as the derivative of the grand potential with respect to a uniform magnetic field. However, a uniform magnetic field makes the kinetic momentum operators noncommuting and Landau-quantizes the…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Chunli Huang

The theory of bulk orbital magnetization has been formulated both in reciprocal space based on Berry curvature and related quantities, and in real space in terms of the spatial average of a quantum mechanical local marker. Here we consider…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Daniel Seleznev , David Vanderbilt

Orbital differentiation is a common theme in multiorbital systems, yet a complete understanding of it is still missing. Here, we consider a minimal model for orbital differentiation in Hund metals with a highly accurate method: We use the…

Strongly Correlated Electrons · Physics 2020-01-08 Fabian B. Kugler , Seung-Sup B. Lee , Andreas Weichselbaum , Gabriel Kotliar , Jan von Delft

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 extend the natural orbital impurity solver [PRB 90, 085102 (2014)] to finite temperatures and apply it to calculate spectral and transport properties of correlated electrons within the dynamical mean-field theory. First, we benchmark our…

Strongly Correlated Electrons · Physics 2024-08-23 Motoharu Kitatani , Shiro Sakai , Ryotaro Arita

The theory of orbital magnetization is reconsidered by defining additional quantities that incorporate a non-Hermitian effect due to anomalous operators that break the domain of definition of the Hermitian Hamiltonian. As a result, boundary…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 K. Kyriakou , K. Moulopoulos

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

The real space formalism of orbital magnetization (OM) is an average of the local OM over some appropriate region of the system. Previous studies prefer a bulk average (i.e., without including boundaries). Based on a bilayer model with an…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Si-Si Wang , Yan Yu , Ji-Huan Guan , Yi-Ming Dai , Hui-Hui Wang , Yan-Yang Zhang

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
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