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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

We apply a microscopic theory of polarization and magnetization to crystalline insulators at zero temperature and consider the orbital electronic contribution of the linear response to spatially varying, time-dependent electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2021-11-08 Perry T. Mahon , J. E. Sipe

A BCS-like variational wave-function, which is exact in the infinite field limit, is used to study the interplay among Zeeman energies, lateral confinement and particle correlations induced by the Coulomb interactions in strongly pumped…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Boris A. Rodriguez , Augusto Gonzalez

We present a technique to map an electronic model with local interactions (a generalized multi-orbital Hubbard model) onto an effective model of interacting classical spins, by requiring that the thermodynamic potentials associated to spin…

Strongly Correlated Electrons · Physics 2015-05-27 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

A feature of the "modern theory" is that electric polarization is not well-defined in a metallic ground state. A different approach invokes the general existence of a complete set of exponentially localized Wannier functions, with respect…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Perry T. Mahon , J. E. Sipe

The contribution of the polarization associated with the noncollinear parts of spins in the dielectric permeability tensor of multiferroic materials is considered. As the equilibrium state, we consider the systems of parallel spins, so we…

Materials Science · Physics 2025-05-13 Pavel A. Andreev

We study electric polarization and nonlinear optical effects in spin systems with broken inversion symmetry. We apply strong coupling expansion to the underlying electronic Hamiltonians, and systematically derive expressions for electric…

Strongly Correlated Electrons · Physics 2021-08-25 Takahiro Morimoto , Sota Kitamura , Shun Okumura

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

Recently, there has been a revival of interest in mechanisms for changing the spin polarization of an electron beam on transmission through, or reflection from, a magnetic surface. An understanding of these mechanisms would allow the use of…

Condensed Matter · Physics 2016-08-31 D. C. Hatton , J. A. C. Bland

We extend the spherical tensorial formalism for polarization to the treatment of electric- and magnetic-multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the…

Atomic Physics · Physics 2024-10-15 R. Casini , R. Manso Sainz , A. Lopez Ariste , N. Kaikati

We introduce microscopic polarization and magnetization fields at each site of an extended system, as well as free charge and current density fields associated with charge movement from site to site, by employing a lattice gauge approach…

Mesoscale and Nanoscale Physics · Physics 2019-06-21 Perry T. Mahon , Rodrigo A. Muniz , J. E. Sipe

The orbital motion of electrons in a three-dimensional solid can generate a pseudoscalar magnetoelectric coupling $\theta$, a fact we derive for the single-particle case using a recent theory of polarization in weakly inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , Joel E. Moore , David Vanderbilt

An appealing mechanism for inducing multiferroicity in materials is the generation of electric polarization by a spatially varying magnetization that is coupled to the lattice through the spin-orbit interaction. Here we describe the…

The phenomenological theory of ferroelectricity in spiral magnets presented in [M. Mostovoy, Phys. Rev. Lett. 96, 067601 (2006)] is generalized to describe consistently states with both uniform and modulated-in-space ferroelectric…

Materials Science · Physics 2009-11-13 A. Cano , E. I. Kats

In this paper we study magnetoelectric effects in two-dimensional magnetic bilayers and introduce the notion of a layer dipole magnetoelectric polarizability. This magnetoelectric polarizability describes the magnetization response to an…

Strongly Correlated Electrons · Physics 2025-12-08 H. Radhakrishnan , C. Ortix , J. W. F. Venderbos

Using the semiclassical theory of electron dynamics, we derive a gauge-invariant expression for the spin toroidization in a periodical crystal. We show that the spin toroidization is comprised of two contributions: one is due to the…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 Yang Gao , David Vanderbilt , Di Xiao

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 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 study the spin-dependent conductance of ballistic mesoscopic ring systems in the presence of an inhomogeneous magnetic field. We show that, for the setup proposed, even a small Zeeman splitting can lead to a considerable spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Popp , Diego Frustaglia , Klaus Richter

The effect of a Zeeman magnetic field coupled to the spin of the electrons on the conducting properties of the disordered Hubbard model is studied. Using the Determinant Quantum Monte Carlo method, the temperature- and magnetic-field-…

Strongly Correlated Electrons · Physics 2009-11-10 P. J. H. Denteneer , R. T. Scalettar
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