Localization of a quantum particle in a classical one-component plasma. Fluctuation-induced random potential and the Coulomb logarithm (opens in new tab)

We develop a microscopic theory of disorder-induced localization for a quantum particle moving in a fully ionized classical one-component plasma, within the static-fluctuation approximation. The random potential acting on the particle originates from equilibrium thermal fluctuations of the ionic charge density, described within the random phase approximation (RPA). The resulting potential correlation function exhibits an unscreened $1/r$ tail ...