250 citations · 2k across the 41 of their papers we have counts for
6 papers · 1 filter
The Elasticity of an Electron Liquid
S. Conti, G. Vignale
The zero temperature response of an interacting electron liquid to a time-dependent vector potential of wave vector q and frequency w such that q << q_F, qv_F<< w << E_F/hbar (wher…
Time-dependent density functional theory beyond the adiabatic local density approximation
G. Vignale, C. A. Ullrich, S. Conti
In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density…
Collective Modes and Electronic Spectral Function in Smooth Edges of Quantum Hall Systems
Sergio Conti, Giovanni Vignale
We present a microscopic theory of the collective modes of a ``smooth'' edge of a quantum Hall system, showing under what conditions these modes can be described as a set of indepe…
Quantum Breathing Mode for Electrons with 1/r^2 Interaction
Michael R. Geller, Giovanni Vignale
We discuss a collective "breathing" mode of electrons with inverse-square-law interactions in a two-dimensional quantum dot and a perpendicular magnetic field.
Center of mass and relative motion in time dependent density functional theory
G. Vignale
It is shown that the exchange-correlation part of the action functional in time-dependent density functional theory , where is the time-dependen…
Rigorous upper bound for the persistent current in systems with toroidal geometry
Giovanni Vignale
It is shown that the absolute value of the persistent current in a system with toroidal geometry is rigorously less than or equal to , where is the numbe…