Magnus Hall Effect

Abstract

A new type of linear response Hall effect is predicted in time-reversal-invariant systems with built-in electric field at zero magnetic field. The Hall response results from a quantum Magnus effect where a self-rotating Bloch electron wavepacket moving under electric field develops an anomalous velocity in the transverse direction. We show that in the ballistic limit the Magnus Hall conductance measures the distribution of Berry curvature on the Fermi surface.

5+2 pages, 3+3 figures

References in corpus (36)

• Quantum Spin Hall Effect in Graphene
• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Suspended Graphene: a bridge to the Dirac point
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Topological Materials: Weyl Semimetals
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Micrometer-scale ballistic transport in encapsulated graphene at room temperature
• Kwant: a software package for quantum transport
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• The electronic properties of bilayer graphene
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Topological nature of nonlinear optical effects in solids
• Electronic properties of graphene-based bilayer systems
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Observation of half-integer thermal Hall conductance
• Ballistic transport exceeding 28 μm in CVD grown graphene
• Dynamic band structure tuning of graphene moiré superlattices with pressure
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Confinement-induced Berry phase and helicity-dependent photocurrents
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Berry curvature dipole current in transition metal dichalcogenides family
• Gyrotropic effects in trigonal tellurium studied from first principles
• Strongly enhanced Berry dipole at topological phase transitions in BiTeI
• Electrically tuneable nonlinear anomalous Hall effect in two-dimensional transition-metal dichalcogenides WTe2 and MoTe2
• Gyrotropic Hall effect in Berry-curved materials
• Symmetry, spin-texture, and tunable quantum geometry in a WTe${}_2$ monolayer
• Berry-electrodynamics - Anomalous drift and pumping from time-dependent Berry connection

Cited by in corpus (41)

• Nonlinear Hall Effects
• Quantum theory of the nonlinear Hall effect
• Zero-magnetic-field Hall effects in artificially corrugated bilayer graphene
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Quantum geometry induced second harmonic generation
• Electronic materials with nanoscale curved geometries
• Magnus Nernst and thermal Hall effect
• Revealing Quantum Geometry in Nonlinear Quantum Materials
• Non-linear Hall Effects: Mechanisms and Materials
• Enhanced anomalous Nernst effect in disordered Dirac and Weyl materials
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Magnus Hall effect in three-dimensional topological semimetals
• Thermoelectric response in nodal-point semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Orbital polarization and third-order anomalous Hall effect in WTe2
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Topological Magnus responses in two and three dimensional systems
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Nonlinear Hall effect induced by internal Coulomb interaction and phase relaxation process in a four-terminal system with time-reversal symmetry
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Second Harmonic Helicity and Faraday Rotation in Gated Single-Layer 1T${}^{\prime }$-WTe${}_2$
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Chiral anomaly and internode scatterings in multifold semimetals
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Magnus spin Hall and spin Nernst effects in gapped 2D Rashba systems
• Berry curvature associated to Fermi arcs in continuum and lattice Weyl systems
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
• General method for calculating transport properties of disordered mesoscopic systems based on the nonequilibrium Green's function formalism
• Real Space Characterization of Nonlinear Hall Effect in Confined Directions
• General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime
• Electrons flow like falling cats: Deformations and emergent gravity in quantum transport
• The orbital-driven topological phase transition and planar Hall responses in ternary tellurides Weyl semi-metals
• Linear thermal noise induced by Berry curvature dipole in a four-terminal system
• Nonlinear hydrodynamic response of a quantum Hall system