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14 papers · 1 filter
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…
Universal Equilibrium Currents in the Quantum Hall Fluid
Michael R. Geller, Giovanni Vignale
The equilibrium current distribution in a quantum Hall fluid that is subjected to a slowly varying confining potential is shown to generally consist of strips or channels of curren…
Current density functional theory of quantum dots in a magnetic field
M. Ferconi, G. Vignale
We present a study of ground state energies and densities of quantum dots in a magnetic field, which takes into account correlation effects through the Current-density functional t…
Currents in the Compressible and Incompressible Regions of the 2DEG
Michael R. Geller, Giovanni Vignale
We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potent…
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…
Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces
Peter G. Casazza, Nigel J. Kalton
Let be a Banach space with an unconditional finite-dimensional Schauder decomposition . We consider the general problem of characterizing conditions under which one can…