Abstract
We study Coulomb interacting electrons confined in polygonal quantum rings. We focus on the interplay of localization at the polygon corners and Coulomb repulsion. Remarkably, the Coulomb repulsion allows the formation of in-gap states, i.e., corner-localized states of electron pairs or clusters shifted to energies that were forbidden for non-interacting electrons, but below the energies of corner-side-localized states. We specify conditions allowing optical excitation to those states.
Highlights
We study Coulomb interacting electrons confined in polygonal quantum rings
We focus on the formation and excitation of those many-body in-gap states, with particular emphasis on their fingerprints in optical absorption
Localization, and optical absorption of systems of few electrons confined in polygonal quantum rings
Summary
We study Coulomb interacting electrons confined in polygonal quantum rings. We focus on the interplay of localization at the polygon corners and Coulomb repulsion. To the case of bent parts of quantum wires[33,34,35,36,37,38,39,40], in the corner areas of polygonal quantum rings effective quantum wells are formed and low energy levels localize between internal and external boundaries The number of such corner states is the number of vertices times two spin orientations. In this paper we extend the single-particle model of refs 31 and 32 to systems of few Coulomb interacting electrons We show how this coupling allows the formation of states corresponding to electron pairs, or larger clusters, that localize on the corners and whose energies lie in the gap between corner and corner-side states of the uncoupled system. As general motivations to study in-gap states in polygonal rings we mention their potential application in quantum information devices, exploiting the corner occupation as information unit, or their use as quantum simulators of discrete lattice models[43]
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