Anomalous Hall Coulomb drag of massive Dirac fermions

Abstract

Dirac fermions are actively investigated, and the discovery of the quantized anomalous Hall effect of massive Dirac fermions has spurred the promise of low-energy electronics. Some materials hosting Dirac fermions are natural platforms for interlayer coherence effects such as Coulomb drag and exciton condensation. Here we determine the role played by the anomalous Hall effect in Coulomb drag in massive Dirac fermion systems. We focus on topological insulator films with out-of plane magnetizations in both the active and passive layers. The transverse response of the active layer is dominated by a topological term arising from the Berry curvature. We show that the topological mechanism does not contribute to Coulomb drag, yet the longitudinal drag force in the passive layer gives rise to a transverse drag current. This anomalous Hall drag current is independent of the active-layer magnetization, a fact that can be verified experimentally. It depends non-monotonically on the passive-layer magnetization, exhibiting a peak that becomes more pronounced at low densities. These findings should stimulate new experiments and quantitative studies of anomalous Hall drag.

6 pages, 3 figures

References in corpus (39)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Dielectric function, screening, and plasmons in 2D graphene
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• Dirac materials
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Impurity effect on weak anti-localization in the topological insulator Bi2Te3
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Strong Coulomb drag and broken symmetry in double-layer graphene
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
• Electric-field control of spin-orbit torque in a magnetically doped topological insulator
• Coulomb drag
• Exciton Condensation and Perfect Coulomb Drag
• Ultrafast helicity control of surface currents in topological insulators with near-unity fidelity
• Topological magneto-electric effects in thin films of topological insulators
• Strain Induced Ferroelectric Topological Insulator
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• On-Chip Microwave Quantum Hall Circulator
• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Intrinsic Electron-Phonon Resistivity in Bi2Se3 in the Topological Regime
• Coulomb Drag in Graphene
• Momentum resolved spin dynamics of bulk and surface excited states in the topological insulator $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{e}}_3$
• Coulomb drag between massless and massive fermions
• Weak localization and weak anti-localization in topological insulators
• Coulomb Drag and Magnetotransport in Graphene Double Layers
• Coulomb drag in graphene single layers separated by a thin spacer
• Theory of Coulomb drag for massless Dirac fermions
• Disentangling the magnetoelectric and thermoelectric transport in topological insulator thin films
• Anomalous Hall response of topological insulators
• Coulomb Drag and Spin Coulomb Drag in the presence of Spin-orbit Coupling
• Correlated Coulomb drag in capacitively coupled quantum-dot structures
• Coulomb drag between ballistic quantum wires
• Coulomb drag between helical edge states
• Thickness and growth-condition dependence of \emph{in-situ} mobility and carrier density of epitaxial thin-film Bi${}_2$Se${}_3$
• Anomalous Coulomb Drag in Electron-Hole Bilayers due to the Formation of Excitons
• Coulomb drag in topological insulator films
• Low temperature thermal transport at the interface of a topological insulator and a d-wave superconductor

Cited by in corpus (11)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Quantum Kinetic Theory of the Chiral Anomaly
• Coulomb Drag in Altermagnets
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Negative electronic compressibility enables electrically-induced charge density waves in a two-dimensional electron liquid
• Performance of the T-matrix based master equation for Coulomb drag in double quantum dots
• Hall Coulomb drag induced by electron-electron skew scattering
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Anomalous drag in electron-hole condensates with granulated order
• Bogoliubov theory of a Bose-Einstein condensate of rigid rotor molecules