Exciton-Exciton Interactions in Coaxial Double Quantum Rings.

Vanik Shahnazaryan,Hayk Sarkisyan,Vram Mughnetsyan,Ivan Shelykh

doi:10.3390/nano9101469

Vanik Shahnazaryan, Hayk Sarkisyan + Show 2 more

Open Access

https://doi.org/10.3390/nano9101469

Copy DOI

Abstract

We study theoretically the quantum states of two interacting excitons in coaxial double quantum rings. An interplay between exciton–exciton Coulomb interactions and specific geometry of the structure leads to the emergence of peculiar energy spectrum of two exciton system. We develop a semi-analytic approach providing highly accurate energies of system in the wide range of values of geometrical parameters relevant to experimental realizations.

Highlights

Rapid development of nanolitography and epitaxial techniques made possible fabrication of semiconductor heterostructures of complex geometry
Being non- connected structures, mesoscopic rings demonstrate a set of fundamental purely quantum phenomena related to the phase of a wavefunction, such as Aharonov–Bohm [3], Altshuler–Aronov–Spivak [4] and Aharonov–Casher [5] oscillations. Investigations in this field revealed further the quantum nature of single- and many-electron states in the rings including the demonstration of the cumulative impact of impurities and magnetic field [6,7], the onset of persistent currents [8,9], the analysis of the possibilities of spintronic applications [10,11], the study of rotational and vibrational spectra of few electron states [12], Kondo [13] and geometric effects [14,15], impurities [16], electron–electron interactions [17] and magnetic field impact on few electron states [18]
We study the peculiarities of the Coulomb interaction processes of excitons localized in double coaxial ring structures

Summary

Introduction

Rapid development of nanolitography and epitaxial techniques made possible fabrication of semiconductor heterostructures of complex geometry. Being non- connected structures, mesoscopic rings demonstrate a set of fundamental purely quantum phenomena related to the phase of a wavefunction, such as Aharonov–Bohm [3], Altshuler–Aronov–Spivak [4] and Aharonov–Casher [5] oscillations Investigations in this field revealed further the quantum nature of single- and many-electron states in the rings including the demonstration of the cumulative impact of impurities and magnetic field [6,7], the onset of persistent currents [8,9], the analysis of the possibilities of spintronic applications [10,11], the study of rotational and vibrational spectra of few electron states [12], Kondo [13] and geometric effects [14,15], impurities [16], electron–electron interactions [17] and magnetic field impact on few electron states [18].

Exciton States in an Individual Quantum Ring

Two Exciton Energy Spectrum

Conclusions