Chiral two-dimensional electron gas in a periodic magnetic field

Abstract

We study the energy spectrum and electronic properties of two-dimensional electron gas in a periodic magnetic field of zero average with a symmetry of triangular lattice. We demonstrate how the structure of electron energy bands can be changed with the variation of the field strength, so that we can start from nearly free electron gas and then transform it continuously to a system of essentially localized chiral electron states. We find that the electrons near some minima of the effective potential are responsible for occurrence of dissipationless persistent currents creating a lattice of current contours. The topological properties of the electron energy bands are also varied with the intensity of periodic field. We calculated the topological Chern numbers of several lower energy bands as a function of the field. The corresponding Hall conductivity is nonzero and, when the Fermi level lies in the gap, it is quantized.

arXiv comment10 pages;9 figures;42 references

References in corpus (26)

• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Anomalous Hall effect in ferromagnetic semiconductors
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Ab initio calculation of the anomalous Hall conductivity by Wannier interpolation
• Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Topological Hall effect and Berry phase in magnetic nanostructures
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Chirality driven anomalous Hall effect in weak coupling regime
• Semiclassical theory of spin transport in spin-orbit coupled systems
• Anomalous Hall effect in paramagnetic two dimensional systems
• DC-transport properties of ferromagnetic (Ga,Mn)As semiconductors
• Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant Ferromagnets
• Anomalous Hall effect as a probe of the chiral order in spin glasses
• Electronic Band Structure In A Periodic Magnetic Field
• Persistent Currents in Mesoscopic Hubbard Rings with Spin-Orbit Interaction
• Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
• Quantized Hall conductivity of Bloch electrons: topology and the Dirac fermion
• Electron Band Structure in a Two Dimensional Periodic Magnetic Field
• Spin-orbit coupling effect on the persistent currents in mesoscopic ring with an Anderson impurity
• 2-Dimensional Electron Gas in a Linearly Varying Magnetic Field. ``Quantisation'' of the Electron and Current Density
• Multi-band energy spectra of spin-1/2 electrons with two-dimensional magnetic modulations

Cited by in corpus (13)

• The Insulating State of Matter: A Geometrical Theory
• Quantum Spin Hall Effect in Two-dimensional Crystals of Transition Metal Dichalcogenides
• Proton-driven patterning of bulk transition metal dichalcogenides
• The gapped state of a carbon mono-layer in periodic magnetic and electric fields
• Band flattening in buckled monolayer graphene
• Emergence of Topological Nodal Lines and Type II Weyl Nodes in Strong Spin--Orbit Coupling System InNbX2(X=S,Se)
• Graphene in periodically alternating magnetic field: unusual quantization of the anomalous Hall effect
• Designing 1D correlated-electron states by non-Euclidean topography of 2D monolayers
• Quantum Hall effects of graphene with multi orbitals: Topological numbers, Boltzmann conductance and Semi-classical quantization
• Hierarchy of gaps and magnetic minibands in graphene in the presence of the Abrikosov vortex lattice
• Chiral Hall effect in the kink states in topological insulators with magnetic domain walls
• Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices
• A magnetic Hofstadter butterfly and its topologically quantized Hall conductance