A. V. Chaplik

Persistent currents of few interacting electrons in mesoscopic rings

We calculate the persistent currents of few interacting electrons in mesoscopic rings in the ballistic regime. It is shown that for a narrow-width ring the Coulomb interaction and the confining potential build of the few electrons a rotating Wigner crystal. As long as this picture remains valid, the persistent current is not influenced by the electron-electron interaction. But with increasing width of the ring, the electron-electron interaction decreases the amplitude of the persistent current at low temperatures and increases it at higher temperatures.

Energy band structure and persistent currents in a finite-width mesoscopic two-electron ring

We calculate the energy band structure and the persistent current of two interacting electrons, quantum-confined in a mesoscopic ring of finite width in the ballistic regime. For a narrow-width ring the radial motion is much faster than the relative angular motion, and the rotation of the two electrons is the slowest motion. The interplay between the Coulomb interaction and the confining potential results in a rotating Wigner molecule which has vibrations as internal relative angular motion. It is shown that the maximal value of the persistent current is the same for interacting and non-interacting electrons.

Physical properties of few electron mesoscopic rings: Persistent currents, optical absorption and Raman scattering

Abstract Two interacting electrons confined in a mesoscopic ring form a Wigner molecule due to the interplay between the Coulomb repulsion and the radial confinement. On the basis of the energy band structure, which results in the occurrence of a persistent current in the ring, the optical absorption and the differential cross section of resonant inelastic light scattering is calculated. The section rules are derived and discussed in dependence on the polarization of the incident light.