Coulomb drag in the quantum Hall $ν= 1/2$ state: Role of disorder

Details Coulomb drag in the quantum Hall $ν= 1/2$ state: Role of disorder Coulomb drag in the quantum Hall $ν= 1/2$ state: Role of disorder

1997-09-18

arxiv.org/abs/cond-mat/9709202v1

Physica E 1 (1997) 176

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX, 8 pages, 1 figure. This work discusses the role of disorder, which was not discussed in our cond-mat/9701135. To appea

Scientific paper

10.1016/S1386-9477(97)00038-6

We consider Coulomb drag between two layers of two-dimensional electron gases subject to a strong magnetic field, with the Landau level filling factor in each layer being 1/2. We find $\rho_D$ to be very large, as compared to the zero magnetic field case. We attribute this enhancement to the slow decay of density fluctuations in a strong magnetic field. For a clean system, the linear $q$-dependence of the longitudinal conductivity, characteristic of the $\nu=1/2$ state, leads a unique temperature dependence---$\rd \propto T^{4/3}$. Within a semiclassical approximation, disorder leads to a decrease of the transresistivity as compared with the clean case, and a temperature dependence of $T^2\log T$ at low temperatures.

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