We develop the theoretical framework for calculating magnetic noise fromconducting two-dimensional (2D) materials. We describe how local measurementsof this noise can directly probe the wave-vector dependent transport propertiesof the material over a broad range of length scales, thus providing new insightinto a range of correlated phenomena in 2D electronic systems. As an example,we demonstrate how transport in the hydrodynamic regime in an electronic systemexhibits a unique signature in the magnetic noise profile that distinguishes itfrom diffusive and ballistic transport and how this can be used to measure theviscosity of the electronic fluid. We employ a Boltzmann approach in a two-timerelaxation-time approximation to compute the conductivity of graphene andquantitatively illustrate these transport regimes and the experimentalfeasibility of observing them. Next, we discuss signatures of isolatedimpurities lodged inside the conducting 2D material. The noise near an impurityis found to be suppressed compared to the background by an amount that isdirectly proportional to the cross-section of electrons/holes scattering off ofthe impurity. We use these results to outline an experimental proposal tomeasure the temperature dependent level-shift and line-width of the resonanceassociated with an Anderson impurity.
展开▼
