Far-infrared edge modes in quantum dots
arXiv:cond-mat/9704150 · doi:10.1103/PhysRevB.56.12375
Abstract
We have investigated edge modes of different multipolarity sustained by quantum dots submitted to external magnetic fields. We present a microscopic description based on a variational solution of the equation of motion for any axially symmetric confining potential and multipole mode. Numerical results for dots with different number of electrons whose ground-state is described within a local Current Density Functional Theory are discussed. Two sum rules, which are exact within this theory, are derived. In the limit of a large neutral dot at B=0, we have shown that the classical hydrodynamic dispersion law for edge waves ω(q) \sim \sqrt{q \ln (q_0/q)} holds when quantum and finite size effects are taken into account.
We have changed some figures as well as a part of the text
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