Coulomb drag in high Landau levels

Abstract

Recent experiments on Coulomb drag in the quantum Hall regime have yielded a number of surprises. The most striking observations are that the Coulomb drag can become negative in high Landau levels and that its temperature dependence is non-monotonous. We develop a systematic diagrammatic theory of Coulomb drag in strong magnetic fields explaining these puzzling experiments. The theory is applicable both in the diffusive and the ballistic regimes; we focus on the experimentally relevant ballistic regime (interlayer distance $a$ smaller than the cyclotron radius $R_c$). It is shown that the drag at strong magnetic fields is an interplay of two contributions arising from different sources of particle-hole asymmetry, namely the curvature of the zero-field electron dispersion and the particle-hole asymmetry associated with Landau quantization. The former contribution is positive and governs the high-temperature increase in the drag resistivity. On the other hand, the latter one, which is dominant at low $T$, has an oscillatory sign (depending on the difference in filling factors of the two layers) and gives rise to a sharp peak in the temperature dependence at $T$ of the order of the Landau level width.

26 pages, 13 figures

References in corpus (1)

• Coulomb Drag as a Probe of the Nature of Compressible States in a Magnetic Field

Cited by in corpus (14)

• Coulomb drag
• Coulomb drag in graphene: perturbation theory
• Coulomb drag between two spin incoherent Luttinger liquids
• Interaction effects on magnetooscillations in a two-dimensional electron gas
• Luttinger liquids with curvature: Density correlations and Coulomb drag effect
• Intershell resistance in multiwall carbon nanotubes: A Coulomb drag study
• Coulomb drag between ballistic quantum wires
• Magnetotransport of electrons in quantum Hall systems
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Magneto-Coulomb Drag and Hall Drag in Double-Layer Dirac Systems
• Semiclassical theory of electron drag in strong magnetic fields
• Hall Coulomb drag induced by electron-electron skew scattering
• The physical picture behind the oscillating sign of drag in high Landau levels
• Giant Magneto-Oscillations of Electric-Field-Induced Spin Polarization in 2DEG