Spin Coulomb drag in the two-dimensional electron liquid

Irene D’Amico and Giovanni Vignale
Phys. Rev. B 68, 045307 – Published 14 July 2003
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Abstract

We calculate the spin-drag transresistivity ρ(T) in a two-dimensional electron gas at temperature T in the random-phase approximation. In the low-temperature regime we show that, at variance with the three-dimensional low-temperature result [ρ(T)T2], the spin transresistivity of a two-dimensional spin unpolarized electron gas has the form ρ(T)T2lnT. In the spin-polarized case the familiar form ρ(T)=AT2 is recovered, but the constant of proportionality, A, diverges logarithmically as the spin-polarization tends to zero. In the high-temperature regime we obtain ρ(T)=(ħ/e2)(π2Ry*/kBT) (where Ry* is the effective Rydberg energy) independent of the density. Again, this differs from the three-dimensional result, which has a logarithmic dependence on the density. Two important differences between the spin-drag transresistivity and the ordinary Coulomb-drag transresistivity are pointed out. (i) The lnT singularity at low temperature is smaller, in the Coulomb-drag case, by a factor e4kFd, where kF is the Fermi wave vector and d is the separation between the layers. (ii) The collective mode contribution to the spin-drag transresistivity is negligible at all temperatures. Moreover, the spin-drag effect is, for comparable parameters, larger than the ordinary Coulomb-drag effect.

  • Received 16 December 2001

DOI:https://doi.org/10.1103/PhysRevB.68.045307

©2003 American Physical Society

Authors & Affiliations

Irene D’Amico

  • Istituto Nazionale per la Fisica della Materia (INFM) and Institute for Scientific Interchange, via Settimio Severo 65, I-10133 Torino, Italy

Giovanni Vignale

  • Department of Physics, University of Missouri, Columbia, Missouri 65211, USA

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Vol. 68, Iss. 4 — 15 July 2003

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