Real-Space Berry Phases - Skyrmion Soccer

Abstract

Berry phases occur when a system adiabatically evolves along a closed curve in parameter space. This tutorial-like article focuses on Berry phases accumulated in real space. In particular, we consider the situation where an electron traverses a smooth magnetic structure, while its magnetic moment adjusts to the local magnetization direction. Mapping the adiabatic physics to an effective problem in terms of emergent fields reveals that certain magnetic textures - skyrmions - are tailormade to study these Berry phase effects.

arXiv comment7 pages, 3 figures

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Cited by in corpus (64)

• Direct Observation of the Skyrmion Hall Effect
• Skyrmions in Magnetic Multilayers
• The 2020 Skyrmionics Roadmap
• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Diameter-independent skyrmion Hall angle in the plastic flow regime observed in chiral magnetic multilayers
• Stabilization and current-induced motion of antiskyrmion in the presence of anisotropic Dzyaloshinskii-Moriya interaction
• Controllable thickness inhomogeneity and Berry-curvature-engineering of anomalous Hall effect in SrRuO3 ultrathin films
• Asymmetric skyrmion Hall effect in systems with a hybrid Dzyaloshinskii-Moriya interaction
• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Chiral domain walls of Mn${}_3$Sn and their memory
• Chirality-driven orbital magnetic moments as a new probe for topological magnetic structures
• Current-driven skyrmion expulsion from magnetic nanostrips
• Forming individual magnetic biskyrmions by merging two skyrmions in a centrosymmetric nanodisk
• Skyrmion Topological Hall Effect near Room Temperature
• Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions
• Engineering Chiral and Topological Orbital Magnetism of Domain Walls and Skyrmions
• Active Rheology in Odd Viscosity Systems
• Emergent Magneto-multipoles and Nonlinear Responses of a Magnetic Hopfion
• Momentum-space and real-space Berry curvatures in Mn${}_3$Sn
• The family of topological Hall effects for electrons in skyrmion crystals
• Effect of Negative Pressure on the Prototypical Itinerant Magnet MnSi
• Signatures of lattice geometry in quantum and topological Hall effect
• Topological dynamics and current-induced motion in a skyrmion lattice
• Tuneable terahertz oscillation arising from Bloch-point dynamics in chiral magnets
• Material systems for FM-/AFM-coupled skyrmions in Co/Pt-based multilayers
• Skyrmion Dynamics and Topological Sorting on Periodic Obstacle Arrays
• Orientation dependent current-induced motion of skyrmions with various topologies
• Generation and Hall effect of skyrmions enabled via using nonmagnetic point contacts
• Topological Hall Effect and Skyrmion-like Bubbles at a Charge-transfer Interface
• Fundamental Theory of Current-Induced Motion of Magnetic Skyrmions
• Characterization of a Disordered Above Room Temperature Skyrmion Material Co8Zn8Mn4
• Shear Banding, Intermittency, Jamming and Dynamic Phases for Skyrmions in Inhomogeneous Pinning Arrays
• Spin, orbital, Weyl and other glasses in topological superfluids
• Dynamics and Nonmonotonic Drag for Individually Driven Skyrmions
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Commensuration Effects on Skyrmion Hall Angle and Drag for Manipulation of Skyrmions on Two-Dimensional Periodic Substrates
• Skyrmionics in correlated oxides
• Current-Induced Dynamics of Chiral Magnetic Structures: Creation, Motion, and Applications
• Berry Curvature and Topological Hall Effect in Magnetic Nanoparticles
• Angular dependence of Hall effect and magnetoresistance in SrRuO${}_3$-SrIrO${}_3$ heterostructures
• Impurity-induced orbital magnetization in a Rashba electron gas
• Skyrmion Pinball and Directed Motion on Obstacle Arrays
• Coherent backscattering in the topological Hall effect
• Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality
• Nanofluidic logic based on chiral skyrmion flows
• Magnetic interactions in AB-stacked kagome lattices: magnetic structure, symmetry, and duality
• Tailoring energy barriers of Bloch-point-mediated transitions between topological spin textures
• Coupled quantum vortex kinematics and Berry curvature in real space
• Multifunctional Oxides for Topological Magnetic Textures by Design
• Weak Localization in Systems with Chiral Spin Textures and Skyrmion Crystals
• Insights into the orbital magnetism of noncollinear magnetic systems
• Fluctuations and Pinning for Individually Manipulated Skyrmions
• Alternative understanding of the skyrmion Hall effect based on one-dimensional domain wall motion
• Current-driven dynamics of antiferromagnetic domain-wall skyrmions
• Compensated Quantum and Topological Hall Effects of Electrons in Polyatomic Stripe Lattices
• Topological insulators and geometry of vector bundles
• Dynamic Phases and Reentrant Hall Effect for Vortices and Skyrmions on Periodic Pinning Arrays
• Current-driven motion of magnetic topological defects in ferromagnetic superconductors
• Magnetic Bloch-point hopping in multilayer skyrmions and associated emergent electromagnetic signatures
• Angular dependence of hump-shape Hall Effects for distinguishing between Karplus-Luttinger and Geometrical Origins
• A $C^{\ast }$-algebraic view on the interaction of real- and reciprocal space topology in skyrmion crystals
• Giant Topological Hall Effect Across Wide Temperature in Pt/NiCo2O4 Heterostructure
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density
• Persistent Interfacial Topological Hall Effect Demonstrating Electrical Readout of Topological Spin Structures in Insulators