Mesoscopic Behavior Near a Two-Dimensional Metal-Insulator Transition

Details Mesoscopic Behavior Near a Two-Dimensional Metal-Insulator Transition Mesoscopic Behavior Near a Two-Dimensional Metal-Insulator Transition

1996-12-02

arxiv.org/abs/cond-mat/9612021v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised according to referee remarks

Scientific paper

10.1103/PhysRevB.56.R10048

We study conductance fluctuations in a two-dimensional electron gas as a function of chemical potential (or gate voltage) from the strongly insulating to the metallic regime. Power spectra of the fluctuations decay with two distinct exponents (1/v_l and 1/v_h). For conductivity $\sigma\sim 0.1 e^{2}/h$, we find a third exponent (1/v_i) in the shortest samples, and non-monotonic dependence of v_i and v_l on \sigma. We study the dependence of v_i, v_l, v_h, and the variances of corresponding fluctuations on \sigma, sample size, and temperature. The anomalies near $\sigma\simeq 0.1 e^{2}/h$ indicate that the dielectric response and screening length are critically behaved, i.e. that Coulomb correlations dominate the physics.

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