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In the absence of parity and time-reversal symmetries, insulators can exhibit magnetoelectric responses, in which applied magnetic fields induce charge polarization and, conversely, applied electric fields induce magnetization. While there…

Strongly Correlated Electrons · Physics 2024-09-24 Gautam K. Naik , Michael O. Flynn , Chris R. Laumann

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

We present a Wannier-based method to calculate the Chern-Simons orbital magnetoelectric coupling in the framework of first-principles density-functional theory. In view of recent developments in connection with strong Z2 topological…

Materials Science · Physics 2012-05-16 Sinisa Coh , David Vanderbilt , Andrei Malashevich , Ivo Souza

Orbital magnetoelectric effect is closely related to the band topology of bulk crystalline insulators. Typical examples include the half quantized Chern-Simons orbital magnetoelectric coupling in three dimensional (3D) axion insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Xin Lu , Renwen Jiang , Zhongqing Guo , Jianpeng Liu

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

One of the hallmarks of time-reversal-symmetric topological insulators in three dimensions is the topological magnetoelectric effect (TME). So far, a time-reversal breaking variant of this effect has attracted much attention, in the sense…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Heinrich-Gregor Zirnstein , Bernd Rosenow

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

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic…

Strongly Correlated Electrons · Physics 2013-05-29 Brian Swingle , Maissam Barkeshli , John McGreevy , T. Senthil

In this paper we predict that the magnetoelectric response of two-dimensional (2D) antiferromagnets is determined by the topology of the ground state. This topological magnetoelectric response, encoded in the spin magnetoelectric…

Strongly Correlated Electrons · Physics 2025-12-08 Jörn W. F. Venderbos , Paola Gentile , Carmine Ortix

The linear magnetoelectric response of Cr2O3 at zero temperature is calculated from first principles by tracking the change in magnetization under a macroscopic electric field. Both the spin and the orbital contributions to the induced…

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

Topological insulators (TIs) in three space dimensions can be characterized by a quantized magnetoelectric coefficient. However, this coupling does not have experimentally observable consequences in the presence of time-reversal symmetry,…

Mesoscale and Nanoscale Physics · Physics 2020-07-16 Heinrich-Gregor Zirnstein , Bernd Rosenow

A non-commutative formula for the isotropic magneto-electric response of disordered insulators under magnetic fields is derived using the methods of non-commutative geometry. Our result follows from an explicit evaluation of the Ito…

Mathematical Physics · Physics 2013-02-12 Bryan Leung , Emil Prodan

We study the response of topological insulator films to strong magnetic and electric fields beyond the linear response theory. As a model, we use the three-dimensional lattice Wilson-Dirac Hamiltonian where we simultaneously introduce both…

Mesoscale and Nanoscale Physics · Physics 2014-08-18 Dashdeleg Baasanjav , O. A. Tretiakov , Kentaro Nomura

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

Topological insulators (TIs) exhibit a quantized magnetoelectric response when time-reversal symmetry is broken on its surface. This unusual electromagnetic (EM) response is a unique macroscopic manifestation of the quantum Hall effect on…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 A. Martín-Ruiz

Topological insulators with a time reversal symmetry breaking perturbation near the surface present a magnetoelectric response that is quantized when the frequency of the probing fields is much smaller than the surface gap induced by the…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Adolfo G. Grushin , Fernando de Juan

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

The magnetoelectric effect has been actively studied in multiferroics since the first observation in an antiferromagnetic, $\mathrm{Cr_2O_3}$. This effect appears in systems without spatial inversion symmetry and time-reversal symmetry and…

Materials Science · Physics 2023-07-05 Koki Shinada , Robert Peters

Topological insulators subject to a time-symmetry-breaking perturbation are predicted to display a magneto-electric effect that causes the electric and magnetic induction fields to mix at the material's surface. This effect induces…

Optics · Physics 2015-10-22 J. A. Crosse

Working in the crystal-momentum representation, we calculate the optical conductivity of noncentrosymmetric insulating crystals at first order in the wave vector of light. The time-even part of this tensor describes natural optical activity…

Mesoscale and Nanoscale Physics · Physics 2010-12-30 Andrei Malashevich , Ivo Souza
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