Singular Effects of Spin-Flip Scattering on Gapped Dirac Fermions

Abstract

We investigate the effects of spin-flip scattering on the Hall transport and spectral properties of gapped Dirac fermions. We find that in the weak scattering regime, the Berry curvature distribution is dramatically compressed in the electronic energy spectrum, becoming singular at band edges. As a result the Hall conductivity has a sudden jump (or drop) of $e^2/2h$ when the Fermi energy sweeps across the band edges, and otherwise is a constant quantized in units of $e^2/2h$. In parallel, spectral properties such as the density of states and spin polarization are also greatly enhanced at band edges. Possible experimental methods to detect these effects are discussed.

References in corpus (11)

• The electronic properties of graphene
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Surface-edge state and half quantized Hall conductance in topological insulators
• Scattering universality classes of side jump in anomalous Hall effect
• Topological Control: Systematic control of topological insulator Dirac fermion density on the surface of Bi2Te3
• Effects of iron doping on the topological insulator surfaces

Cited by in corpus (7)

• The dependence of topological Anderson insulator on the type of disorder
• Anderson Localization from Berry-Curvature Interchange in Quantum Anomalous Hall System
• Topological response in ferromagnets
• Anomalously enhanced photoemission from the Dirac point and symmetry of the self-energy variations for the surface states in Bi2Se3
• Numerical Study of Disorder on the Orbital Magnetization in Two Dimensions
• Strain-Fluctuation-Induced Near-Quantization of Valley Hall Conductivity in Graphene Systems
• Pumping conductance, the intrinsic anomalous Hall effect, and statistics of topological invariants