Emergent electromagnetism in solids

Abstract

Electromagnetic field (EMF) is the most fundamental field in condensed-matter physics. Interaction between electrons, electron-ion interaction, and ion-ion interaction are all of the electromagnetic origin, while the other 3 fundamental forces, i.e., gravitational force, weak and strong interactions are irrelevant in the energy/length scales of condensed-matter physics. Also the physical properties of condensed-matters such as transport, optical, magnetic and dielectric properties, are almost described as their electromagnetic responses. In addition to this EMF in the low energy sector, it often happens that the gauge fields appear as the emergent phenomenon due to the projection of the electronic wavefunctions onto the curved manifold of the Hilbert sub-space. These emergent electromagnetic fields (EEMF's) play important roles in many places in condensed-matter physics including the quantum Hall effect, strongly correlated electrons, and also in non-interacting electron systems. In this article, we describe its fundamental idea and some of the applications recently studied.

26 pages, 12 figures, To appear in Proceedings of the Nobel Symposium on Graphene

References in corpus (17)

• Classification of topological insulators and superconductors in three spatial dimensions
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Spin current and magneto-electric effect in non-collinear magnets
• Dissipationless Quantum Spin Current at Room Temperature
• Direct electronic measurement of the spin Hall effect
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Observation of the Magnon Hall Effect
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Ferroelectric polarization flop in a frustrated magnet MnWO${}_4$ induced by magnetic fields
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Spin-polarization coupling in multiferroic transition-metal oxides
• Topological spin-current in non-centrosymmetric superconductors
• Optical Magnetoelectric Effect in Multiferroic Materials: Evidence for a Lorentz Force Acting on a Ray of Light
• Non-Abelian hydrodynamics and the flow of spin in spin-orbit coupled substances

Cited by in corpus (52)

• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Robust metastable skyrmions and their triangular-square lattice-structural transition in a high-temperature chiral magnet
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Tunable topological Weyl semimetal from simple cubic lattices with staggered fluxes
• Discretized Topological Hall Effect Emerging from Skyrmions in Constricted Geometry
• Scattering mechanisms in textured FeGe thin films: magnetoresistance and the anomalous Hall effect
• Theory of photoinduced Floquet Weyl semimetal phases
• Planar topological Hall effect in a uniaxial van der Waals ferromagnet Fe3GeTe2
• Imaging the evolution of metallic states in a spin-orbit interaction driven correlated iridate
• Berry curvature in magnon-phonon hybrid systems
• Hopf solitons in helical and conical backgrounds of chiral magnetic solids
• Spin and spin current -- From fundamentals to recent progress
• Anisotropic Topological Hall Effect with Real and Momentum Space Berry Curvature in the Antiskrymion Hosting Heusler Compound Mn${}_{1.4}$PtSn
• Curvilinear one-dimensional antiferromagnets
• Electromagnetic response in spiral magnets and emergent inductance
• Heterobilayer moiré magnets: moiré skyrmions and the commensurate-incommensurate transition
• Current-driven skyrmion Depinning in Magnetic Granular Films
• Electric transport in three-dimensional Skyrmion/monopole crystal
• Geometric transformation and three-dimensional hopping of Hopf solitons
• Topological transport of deconfined hedgehogs in magnets
• Spin Model for Nontrivial Magnetic Orders in the Inverse-Perovskite Antiferromagnets
• Charge pumping induced by magnetic texture dynamics in Weyl semimetals
• Dynamic transition and Galilean relativity of current-driven skyrmions
• Magnetic geometry induced quantum geometry and nonlinear transports
• Quadratic Optical Responses in a Chiral Magnet
• Designer Meron Lattice on the Surface of a Topological Insulator
• Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Phase degree of freedom and topology in multiple-$Q$ spin textures
• Triple-$\mathcal{Q}$ partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNi${}_4$B
• Magneto-optical spectra of an organic antiferromagnet as a candidate for an altermagnet
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality
• Enhanced Electrical Magnetochiral Effect by Spin-hedgehog Lattice Structural Transition
• Collective excitations in chiral Stoner magnets
• Thermal Hall Effect of Chiral Spin Fluctuations
• Electrical detection of magnetic states in crossed nanowires using the topological Hall effect
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• Effect of collective spin excitation on electronic transport in topological spin texture
• Predicted photoinduced pair annihilation of emergent magnetic charges in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated by linearly polarized light
• Thermoelectric effect of skyrmion crystal confined in a magnetic disk
• Emergent electric field from magnetic resonances in a one-dimensional chiral magnet
• Chiral gauge field in fully-spin polarized Weyl semimetal with magnetic domain walls
• Theory of Magnetic-Field-Induced Polarization Flop in Spin-Spiral Multiferroics
• Orbital angular momentum and current-induced motion of a Skyrmion-textured domain wall in a ferromagnetic nanotube
• Emergent electric field induced by dissipative sliding dynamics of domain walls in a Weyl magnet
• Nondegenerate and almost hexagonal skyrmion lattices
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Soliton penetration from edges in a monoaxial chiral magnet
• Riemannian geometric classification and emergent phenomena of magnetic textures
• AC Current-Driven Magnetization Switching and Nonlinear Hall Rectification in a Magnetic Topological Insulator