Münster 1999 – scientific programme

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DY: Dynamik und Statistische Physik

DY 20: POSTER I

DY 20.30: Poster

Tuesday, March 23, 1999, 09:30–13:00, F

Hydrodynamics of Fermi liquids with Landau damping: application to stopping power — •I. Tokatly and O. Pankratov — Lehrstuhl für theoretische Festkörperphysik, Universität Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen

Slow highly charged ions are a new probe of electronic subsystem in solids. The high charge Z≫1 and small velocity v ≪ v_F define a new nonlinear egime where the known theories of energy losses are not applicable. Since for small velocities plasmons cannot be excited, the only mechanism of losses is creation of electron-hole pairs (Landau damping). Due to large Z the linear response theory (RPA) should be replaced by a nonlinear approach. As suggested by Bloch one could use in this case a hydrodynamical theory (HT) based on a quasiclassical Thomas-Fermi (TF) approximation. Yet this theory does not describe single particle exitations and thus does not lead to any losses. We develop a general procedure for incorporation of Landau damping into HT starting from the kinetic equation. The distribution function is separated into a hydrodynamical part and the part that describes the electron-hole pairs. This results in an additional equation for the density of the pairs. As an example, we found an analytical expression for Z≫1 asymptotics of the stopping power I ≈ Z²Ln Z