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We study three dimensional insulators with inversion symmetry, in which other point group symmetries, such as time reversal, are generically absent. Their band topology is found to be classified by the parities of occupied states at time…

Strongly Correlated Electrons · Physics 2012-09-13 Ari M. Turner , Yi Zhang , Roger S. K. Mong , Ashvin Vishwanath

Coupling of the spin and orbital degrees of freedom on the surface of a strong three-dimensional insulator, on the one hand, and textured magnetic configuration in an adjacent ferromagnetic film, on the other, is studied using a combination…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yaroslav Tserkovnyak , D. A. Pesin , Daniel Loss

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 have performed an exhaustive representation-theory-based search for the simplest structures allowing isotropic magnetoelectric coupling. We find 30 such structures, all sharing a common pattern of atomic displacements in the direction of…

Materials Science · Physics 2013-09-27 Sinisa Coh , David Vanderbilt

Magnetization can be induced by an electric field in systems without inversion symmetry $\mathcal{P}$ and time-reversal symmetry $\mathcal{T}$. This phenomenon is called the magnetoelectric (ME) effect. The spin ME effect has been actively…

Materials Science · Physics 2023-03-15 Koki Shinada , Akira Kofuji , Robert Peters

The electronic ground state of a three-dimensional (3D) band insulator with time-reversal ($\Theta$) symmetry or time-reversal times a discrete translation ($\Theta T_{1/2}$) symmetry is classified by a $\mathbb{Z}_{2}$-valued topological…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 Chao Lei , Perry T. Mahon , Allan H. MacDonald

Crossed magnetic responses between spin and orbital angular momentum are studied in time-reversal symmetric topological insulators. Due to spin-orbit coupling in the quantum spin Hall systems and three-dimensional topological insulators,…

Mesoscale and Nanoscale Physics · Physics 2016-06-30 Ryota Nakai , Kentaro Nomura

One of the defining properties of the conventional three-dimensional ("$\mathbb{Z}_2$-", or "spin-orbit"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss…

Strongly Correlated Electrons · Physics 2012-06-14 Shinsei Ryu , Joel E. Moore , Andreas W. W. Ludwig

We extend a microscopic theory of polarization and magnetization to include the spin degree of freedom of the electrons, introducing a general spin orbit coupling and Zeeman interaction term in the Hamiltonian. At finite frequencies and…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 Alistair H. Duff , J. E. Sipe

It has been proposed that topological insulators can be best characterized not as surface conductors, but as bulk magnetoelectrics that -- under the right conditions-- have a universal quantized magnetoelectric response coefficient…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 N. P. Armitage , Liang Wu

We show that compositions of time-reversal and spatial symmetries, also known as the magnetic-space-group symmetries, protect topological invariants as well as surface states that are distinct from those of all preceding topological states.…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Bingrui Peng , Yi Jiang , Zhong Fang , Hongming Weng , Chen Fang

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

We present a first-principles scheme for the computation of the magnetoelectric response of magnetic insulators. The method focuses on the lattice-mediated part of the magnetic response to an electric field, which we argue can be expected…

Materials Science · Physics 2009-12-17 Jorge Iniguez

Making use of index theorem and spin Chern Simons theory, we construct an effective topological field theory of strongly correlated topological insulators coupling to a nonabelian gauge field $ SU(N) $ with an interaction constant $ g $ in…

Strongly Correlated Electrons · Physics 2011-06-01 K. -S. Park , H. Han

We propose an orbital magnetothermal effect wherein a temperature gradient generates an orbital magnetization (OM) for Bloch electrons, and we present a unified theory for electrically and thermally induced OM, valid for both metals and…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Cong Xiao , Huiying Liu , Jianzhou Zhao , Shengyuan A. Yang , Qian Niu

The relation between bulk topological invariants and experimentally observable physical quantities is a fundamental property of topological insulators and superconductors. In the case of chiral symmetric systems in odd spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2013-02-20 Ken Shiozaki , Satoshi Fujimoto

Couplings between ferroelectric and magnetic orders offer promising routes toward low-dissipation electronics. However, such couplings are notably rare, largely due to the poor compatibility between insulating band structures and…

Materials Science · Physics 2026-03-20 Jan Priessnitz , Anna Birk Hellenes , Riccardo Comin , Libor Šmejkal

When time-reversal symmetry is broken on its surface, topological insulators exhibit a magnetoelectric response which is described by axion electrodynamics. A direct consequence of this theory is the appearance of a magnetic field that…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 A. Martín-Ruiz , Omar Rodríguez-Tzompantzi , J. R. Maze , L. F. Urrutia

Quantized responses are important tools for understanding and characterizing the universal features of topological phases of matter. In this work, we consider a class of topological crystalline insulators in $3$D with $C_n$ lattice rotation…

Strongly Correlated Electrons · Physics 2023-06-07 Julian May-Mann , Mark R. Hirsbrunner , Xuchen Cao , Taylor L. Hughes

Gapless surface states that are protected by time reversal symmetry and charge conservation are among the manifestations of 3D topological insulators. In this work we study how electron-electron interaction may lead to spontaneous breaking…

Strongly Correlated Electrons · Physics 2012-06-07 Yuval Baum , Ady Stern