The structure of collective excitations and their manifestation in observable characteristics of low-dimensional systems

-Novel edge modes in a magnetized two-dimensional electron liquid with "soft" confining potential: Phys. Rev. Lett. 72, 2935 (1994) [pdf file]

-Effect of collective excitation on the spectral density of a two-dimensional electron system: Phys. Rev. Lett. 94, 156407 (2005) [cond-mat/0501013]

-Structure factor of one-dimensional interacting electron system and its manifestation in Coulomb drag: Phys. Rev. Lett. 91, 126805 (2003) [cond-mat/0208267]

The work on Coulomb drag acquainted me with the long-standing problem of evaluating the structure factor for interacting one-dimensional fermions with a real, non-linear dispersion relation. The existence of this problem was appreciated for quite a while, but little progress was made, as the standard approach based on Tomonaga-Luttinger model proved to be frustratingly ineffective. It looks like we managed to solve the problem, at least in the limit of weak interaction, by some other means. Here is our very recent preprint: [cond-mat/0603458]