Multi-excitonic ( N =1,2 and 3) quantum dots in magnetic field: Analytical mapping of correlations (exchange) by multipole expansion

Strongly Correlated Excitons of Regular/Irregular Planar Quantum Dots in Magnetic Field: Size-Extensive Bi- and Triexciton (e–h–e–h and e–e–h/e–h–h) Systems by Multipole Expansion

“…Eventually, the inclusion of attractive or scattering correlations existing between e–h, e–e, and h–h pairs further shuffles bound states to a greater extent, making the Hamiltonian nontrivial. A gamut of theoretical and experimental investigations into such systems has revealed and put the interplay between the quantum confinement, magnetic field, and the Coulomb correlations at the focal point of scientific curiosity. − In the present work, we have examined a strongly correlated excitonic Hamiltonian of a 2-D QD with a due cyclotron field where the Coulomb interaction has been treated analytically. − The response of excitonic systems with varying e–h mass ratios in the presence of a magnetic field is also undertaken, along with the zero and nonzero confining potential in different dielectric media. We have extended e–h correlations by invoking multipole expansion to multiexcitonic systems such as biexciton and triexciton which have gravitated current research areas .…”