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Abstract: Spin properties of two interacting electrons in a quantum dot QD embeddedin a nanowire with controlled aspect ratio and longitudinal magnetic fields areinvestigated by using a configuration interaction CI method and exactdiagonalization ED techniques. The developed CI theory based on athree-dimensional 3D parabolic model provides explicit formulations of theCoulomb matrix elements and allows for straightforward and efficient numericalimplementation. Our studies reveal fruitful features of spin singlet-triplettransitions of two electrons confined in a nanowire quantum dot NWQD, as aconsequence of the competing effects of geometry-controlled kinetic energyquantization, the various Coulomb interactions, and spin Zeeman energies. Thedeveloped theory is further employed to study the spin phase diagram of twoquantum-confined electrons in the regime of -cross over- dimensionality, fromquasi-two-dimensional disk-like QDs to finite one-dimensional rod-like QDs.



Author: Yan-Ting Chen, Shun-Jen Cheng, Chi-Shung Tang

Source: https://arxiv.org/



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