Effective Drag Between Strongly Inhomogeneous Layers: Exact Results and Applications

Abstract

We generalize Dykhne's calculation of the effective resistance of a 2D two-component medium to the case of frictional drag between the two parallel two-component layers. The resulting exact expression for the effective transresistance, ${\rho }_{eff}^D$, is analyzed in the limits when the resistances and transresistances of the constituting components are strongly different - situation generic for the vicinity of the {\em classical} (percolative) metal-insulator transition (MIT). On the basis of this analysis we conclude that the evolution of ${\rho }_{eff}^D$ across the MIT is determined by the type of correlation between the components, constituting the 2D layers. Depending on this correlation, in the case of two electron layers, ${\rho }_{eff}^D$ changes either monotonically or exhibits a sharp maximum. For electron-hole layers ${\rho }_{eff}^D$ is negative and $|{\rho }_{eff}^D|$ exhibits a sharp minimum at the MIT.

7 pages, 3 figures

Cited by in corpus (6)

• Coulomb drag
• Excitonic Superfluid to pseudo-spin density wave transition in bilayer quantum Hall systems
• Hydrodynamic Coulomb drag of strongly correlated electron liquids
• Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
• Theoretical Analysis of Drag Resistance in Amorphous Thin Films Exhibiting Superconductor-Insulator-Transition
• New exact results for the two-phase model with several conserved currents