Asymptotically exact dispersion relations for collective modes in a confined charged Fermi liquid

Abstract

Using general local conservations laws we derive dispersion relations for edge modes in a slab of electron liquid confined by a symmetric potential. The dispersion relations are exact up to ${\lambda }^2{q}^2$, where $q$ is a wave vector and $\lambda$ is an effective screening length. For a harmonic external potential the dispersion relations are expressed in terms of the {\em exact} static pressure and dynamic shear modulus of a homogeneous liquid with the density taken at the slab core. We also derive a simple expression for the frequency shift of the dipole (Kohn) modes in nearly parabolic quantum dots in a magnetic field.

RevTeX4, 4 pages. Revised version with new results on quantum qots and wires. Published in Phys.Rev.B

References in corpus (2)

• Quantum-dot lithium in zero magnetic field: Electronic properties, thermodynamics, and a liquid-solid transition in the ground state
• Collisionless hydrodynamics for 1D motion of inhomogeneous degenerate electron gases: equivalence of two recent descriptions

Cited by in corpus (2)

• Theory of surface plasmons and surface-plasmon polaritons
• Quantum many-body dynamics in a Lagrangian frame: I. Equations of motion and conservation laws