Fluctuations in the Orbital Magnetic Response of Mesoscopic Conductors

Abstract

We study the effect of weak static disorder on the Landau diamagnetism. The disorder leads to significant sample-to-sample fluctuations in the orbital magnetic susceptibility χ. We calculate the variance of χ, in an ensemble of random samples, under conditions of "high" temperature, i.e. when k_BT is larger than both the Thouless energy E_c and the electron cyclotron energy ω_c.