Thermal noise and dephasing due to electron interactions in nontrivial geometries

M. Treiber, C. Texier, O. M. Yevtushenko, J. von Delft, I. V. Lerner
2011 Physical Review B  
We study Johnson-Nyquist noise in macroscopically inhomogeneous disordered metals and give a microscopic derivation of the correlation function of the scalar electric potentials in real space. Starting from the interacting Hamiltonian for electrons in a metal and the random phase approximation, we find a relation between the correlation function of the electric potentials and the density fluctuations which is valid for arbitrary geometry and dimensionality. We show that the potential
more » ... otential fluctuations are proportional to the solution of the diffusion equation, taken at zero frequency. As an example, we consider networks of quasi-1D disordered wires and give an explicit expression for the correlation function in a ring attached via arms to absorbing leads. We use this result in order to develop a theory of dephasing by electronic noise in multiply-connected systems.
doi:10.1103/physrevb.84.054204 fatcat:prjjnltwj5dxhbwco2vi5ypbq4