Exact spectra of strong coulomb correlations of 3-D 2-e harmonic dots in magnetic field

• Published in: Physica. E, Low-dimensional systems & nanostructures Vol. 85; pp. 56 - 64
• Main Authors: Aggarwal, Priyanka, Sharma, Shivalika, Kaur, Harsimran, Singh, Sunny, Hazra, Ram Kuntal
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2017
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2016.08.007

Applications of 3-D 2-e systems have proliferated very fast due to technological advancements in wide range of phenomena from atomic landscape to mesoscopic scale. The unusual properties of atomic/mesoscopic systems are the results of interplaying charge interactions among different bound states. The non-trivial e–e correlations in electrically and/or magnetically confined systems improvise wealth of intriguing challenges at fundamental level due to lack of exact solution of Schrödinger equations. For the first time, a novel methodology of exactly finite summed coulomb correlations invented by us is so handy that even usual programmable calculator can be used to examine the electronic structures of 3-D 2-e harmonic dots in perpendicular magnetic field (symmetric gauge). Statistics of electronic levels, heat capacity measurements and magnetization (T∼1K) are also investigated in brief to probe the degree of disorderedness. •Exact, terminating and finitely summed coulomb integral beyond question of convergence.•Unusual stabilization of lower bound states of heavy fermions due to enhanced exchange correlations.•Our integral of coulomb correlation limits to the Laughlin's prediction for fractional quantum Hall effect.•Level spacing statistics, heat capacity measurement and magnetization (T∼1K) confirms shuffling among states.