Structure and far-infrared edge modes of quantum antidots at zero magnetic field

TL;DR

This paper studies the edge modes of quantum antidots at zero magnetic field using a local density functional approach, deriving sum rules to evaluate their energies based on surface density and size.

Contribution

It introduces a theoretical framework with exact sum rules for analyzing edge collective modes in quantum antidots at zero magnetic field.

Findings

Derived sum rules for edge mode energies.

Analyzed dependence on surface density and antidot size.

Provided insights into far-infrared edge mode behavior.

Abstract

We have investigated edge modes of different multipolarity sustained by quantum antidots at zero magnetic field. The ground state of the antidot is described within a local density functional formalism. Two sum rules, which are exact within this formalism, have been derived and used to evaluate the energy of edge collective modes as a function of the surface density and the size of the antidot.