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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

We study orbital magnetism in a three-dimensional (3D) quantum dot with a parabolic confining potential. We calculate the free energy of the system as a function of the magnetic field and the temperature. By this, we show that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Takeru Suzuki , Hiroshi Imamura , Masahiko Hayashi , Hiromichi Ebisawa

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

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

We give the thermodynamic definition of the heat magnetization, and calculate with use of the Keldysh formalism in a curved spacetime. The heat magnetization is conjugate to a torsional magnetic field, which is analogous to the fact that…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 Atsuo Shitade

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

The magnetic response of strongly localized electrons to a time-dependent vector potential is considered. The orbital magnetic moment of the system, away from steady-state conditions, is obtained. The expression involves the tunneling and…

Condensed Matter · Physics 2009-10-28 Y. Galperin , O. Entin-Wohlman

We extend the recently-developed theory of bulk orbital magnetization to finite electric fields, and use it to calculate the orbital magnetoelectric response of periodic insulators. Working in the independent-particle framework, we find…

Mesoscale and Nanoscale Physics · Physics 2010-05-28 Andrei Malashevich , Ivo Souza , Sinisa Coh , David Vanderbilt

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

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

We present a rigorous derivation of the orbital magnetization for interacting electrons within the self-consistent Hartree-Fock approximation. Our method also allows us to derive formulas for the orbital magnetic susceptibility. The results…

Strongly Correlated Electrons · Physics 2026-02-16 Jian Kang , Minxuan Wang , Oskar Vafek

We study the magnetic-field response of interacting electron systems within mean-field theory using perturbation theory. We show that the linear response of the mean-field density-matrix to a weak magnetic field is purely geometric: it…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Jihang Zhu , Chunli Huang

We study the thermodynamics for a uniformly rotating system of chiral fermions under the uniform magnetic field. Then we obtain the mathematical expressions of some thermodynamic quantities in terms of the series with respect to the…

High Energy Physics - Theory · Physics 2022-05-31 Ren-Hong Fang

We present a real-space spectral method for computing the orbital magnetization of crystals. Starting from the commutator form of the orbital magnetization operator, we formulate an energy-resolved spectral function that is amenable to…

The availability of large magnetic fields at international facilities and of simulated magnetic fields that can reach the flux-quantum-per-unit-area level in cold atoms, calls for systematic studies of orbital effects of the magnetic field…

Strongly Correlated Electrons · Physics 2018-08-20 S. Acheche , L-F. Arsenault , A. -M. S. Tremblay

The thermodynamical properties of a system of two coupled harmonic oscillators in the presence of an uniform magnetic field B are investigated. Using an unitary transformation, we show that the system can be diagonalized in simple way and…

Statistical Mechanics · Physics 2010-01-28 Mohammed Daoud , Mohamed El Bouziani , Rachid Houca , Ahmed Jellal

Using a quantum generalization of the Onsager principle of microscopic reversibility, the magnetization of a system in a non-equilibrium steady state quantum dot is formulated as a response of the interaction energy to an external field.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Coleman , W. Mao

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

For quantum Hall systems, in the limit of large magnetic field (or equivalently small electron band mass $m_b$), the static response of electrons to a spatially varying magnetic field is largely determined by kinetic energy considerations.…

Condensed Matter · Physics 2009-10-28 Steven H. Simon , Ady Stern , Bertrand I. Halperin

We extend a field theoretic approach for the investigation of the electronic charge-current density response of crystalline systems to arbitrary applied electromagnetic fields. The approach leads to the introduction of microscopic…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Perry T. Mahon , J. E. Sipe
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