The conductance of a weakly interacting electron gas in the presense of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the standard bosonization procedure. Our technique allows to take into account the backscattering of electrons that leads to a non-Luttinger-liquid behavior of th...

The energy spectrum of a two-dimensional electron gas (2DEG) interacting with a valence-band hole is studied in the high magnetic field limit as a function of the filling factor ν and the separation d between the electron and hole layers. For d smaller than the magnetic length λ, the hole binds one or more electrons to form neutral (X) or charged (X−) excitons. The low-lying states can be under...

We have found that the Bethe roots describing the ground state of the integrable one-dimensional model of interacting bosons with weakly repulsive two-body delta interactions satisfy the set of equations appearing in the strong coupling limit of the integrable BCS model. The BCS model describes electron-electron interactions in weakly disordered metallic grains. It follows that the Bethe roots ...