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The relationship between the modern and classical Landau's approach to carrier orbital magnetization is studied theoretically within the envelope function approximation, taking ferromagnetic (Ga,Mn)As as an example. It is shown that while…

Materials Science · Physics 2014-08-04 Cezary Śliwa , Tomasz Dietl

In our previous publication [S. Ozaki and M. Ogata, Phys. Rev. Research 3, 013058], the quantization of the orbital-Zeeman (OZ) cross term in the magnetic susceptibility, or the cross term of spin Zeeman and orbital effect, was shown for…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Soshun Ozaki , Masao Ogata

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

In this paper, we propose a unified formalism, using Green's functions, to integrate out the electrons in an insulator under uniform electromagnetic fields. We derive a perturbative formula for the Green's function in the presence of…

Other Condensed Matter · Physics 2013-05-29 Kuang-Ting Chen , Patrick A. Lee

We present highly accurate Monte Carlo results for simple cubic Ising lattices containing up to $256^3$ spins. These results were obtained by means of the Cluster Processor, a newly built special-purpose computer for the Wolff cluster…

Condensed Matter · Physics 2008-11-26 A. L. Talapov , H. W. J. Blöte

Magnetic singularities known as Bloch points (BPs) present a fundamental challenge for micromagnetic theory, which is based on the assumption of a fixed magnetization vector length. Due to the divergence of the effective field at a BP,…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Vladyslav M. Kuchkin , Andreas Haller , Andreas Michels , Thomas L. Schmidt , Nikolai S. Kiselev

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

The recently developed selected columns of the density matrix (SCDM) method [J. Chem. Theory Comput. 11, 1463, 2015] is a simple, robust, efficient and highly parallelizable method for constructing localized orbitals from a set of…

Computational Physics · Physics 2016-10-10 Anil Damle , Lin Lin , Lexing Ying

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

Magnetic nanoparticles and their magnetization dynamics play an important role in many applications. We focus on magnetization dynamics in large ensembles of single domain nanoparticles being characterized by either Brownian or N\'{e}el…

Image and Video Processing · Electrical Eng. & Systems 2020-10-16 Hannes Albers , Tobias Kluth , Tobias Knopp

The finding of a new formulation of the magnetization vector of a quantum system interacting with a static uniform magnetic field\cite{Selenu1} is reported. There a gauge invariant form of its divergence is shown being expressed as a…

Materials Science · Physics 2021-02-03 S. Selenu

We present a microscopic theory for the local (single site) orbital magnetization in tight-binding systems. Each occupied state of energy $\varepsilon_n$ contributes with a local orbital magnetic moment term ${\mathbf{ m}}_n({\mathbf{ r}})$…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Sariah Al Saati , Karyn Le Hur , Frédéric Piéchon

We extend the band theory of linear orbital magnetoelectric coupling to treat crystals under finite electric fields. Previous work established that the orbital magnetoelectric response of a generic insulator at zero field comprises three…

Materials Science · Physics 2012-09-28 Andrei Malashevich , David Vanderbilt , Ivo Souza

We introduce a practical and efficient approach for calculating the all-electron full potential bandstructure in real space, employing a finite element basis. As an alternative to the k-space method, the method involves the self-consistent…

Materials Science · Physics 2023-07-25 Dongming Li , James Kestyn , Eric Polizzi

Spin-orbit coupling in organic crystals is responsible for many spin-relaxation phenomena, going from spin diffusion to intersystem crossing. With the goal of constructing effective spin-orbit Hamiltonians to be used in multiscale…

Materials Science · Physics 2017-03-01 Subhayan Roychoudhury , Stefano Sanvito

The equilibrium magnetization of concentrated ferrofluids described by a system of polydisperse dipolar hard spheres is calculated as a function of the internal magnetic field using the Born--Mayer or cluster expansion technique. This paper…

Statistical Mechanics · Physics 2007-05-23 B. Huke , M. Luecke

In this paper, we formulate the real-space Chern number in a supercell framework. In this framework, the overlap matrix between two corners of the Brillouin zone (BZ) is derived from diagonalizing the real-space Hamiltonian with periodic…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Kiminori Hattori , Shinji Nakata

A considerable challenge is faced by researchers wishing to identify the propagation vector(s) associated with a magnetic structure or a lattice distortion from powder diffraction data, due to the severe destruction of information by powder…

Materials Science · Physics 2009-05-07 A. S. Wills

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

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