Frictional magnetodrag between spatially separated two-dimensional electron systems: Coulomb versus phonon mediated electron–electron interaction

Abstract

We study the frictional drag due to Coulomb and phonon mediated electron-electron interaction in a double layer electron system exposed to a perpendicular magnetic field. Within the random phase approximation we calculate the dispersion relation of the intra Landau level magnetoplasmons at finite temperatures and distinguish their contribution to the magnetodrag. We calculate the transresistivity ρ Drag as a function of magnetic field B, temperature T , and interlayer spacing Λ for a matched electron density. For Λ = 200 nm we find that ρ Drag is solely due to phonon exchange and shows no double-peak structure as a function of B. For Λ = 30 nm, ρ Drag shows the double-peak structure and is mainly due to Coulomb interaction. The value of ρ Drag is about 0.3 Ω at T = 2 K and for the half-filled second Lanadau level, which is about 13 times larger than the

Coulomb drag

“…VII. Alternative approaches include magnetodrag due to electron-phonon interaction (Badalyan and Kim, 2003), semiclassical theory (Brener and Metzner, 2005), diagrammatic theory in high Landau levels (Bønsager et al, 1996(Bønsager et al, , 1997Gornyi et al, 2004;von Oppen et al, 2001), self-consistent Hartree approximation (Tso et al, 1998), and the effect of magnetoplasmons (Khaetskii and Nazarov, 1999;Manolescu and Tanatar, 2002). …”

Intra-Landau-level collective excitations in a bilayer disordered electronic system

“…New interlayer electron correlations arise which govern different ferromagnetic and antiferromagnetic phases of the quantum Hall states [2]. The bilayer CE also play an essential role in the dynamical screening of interlayer Coulomb interaction in the frictional drag effect both in zero [3,4,5] and finite magnetic fields [4,6,7,8,9].…”