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edge states and collective excitations

EDGE STATES, COLLECTIVE EXCITATIONS

Electrostatics of electron confinement

-Electrostatics of a quantum wire:

Semicond. Sci. Technol., 6, 32 (1991) [pdf file]

-Electrostatics of edge states:

Phys. Rev. B 46, 4026 (1992) [pdf file]

 

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]

-Dynamic structure factor of a one-dimensional 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 quantum particles 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. We managed to solve the problem! Here our breakthrough paper addressing the problem for fermions: cond-mat/0603458. The emerged theoretical description of one-dimensional quantum fluids was dubbed nonlinear Luttinger liquid theory.

 

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