Coupling of Electron and Magnetic Ion Spin in Quantum Dots by Electron-Electron Interaction

Authors

  • Sanjiv Kumar Department of Physics, M.S. College, Motihari, East Champaran, Bihar 845401, India.
  • Manish Kumar Bhatt Research Scholar, University Department of Physics, B. R. A. Bihar University, Muzaffarpur, Bihar 842001, India.
  • Sunil Kumar Mishra Department of Physics, M.P.S. Science College, Muzaffarpur, Bihar 842001, India.

DOI:

https://doi.org/10.48165/

Keywords:

Microscopic, Interacting, Magnetic, Localization, Quantum Dot, Spin, Hamiltonian, Diagonalization

Abstract

We have presented a microscopic model of interacting electrons with a magnetic ion  spin localized in the centre of a self assembled quantum dot. We have found that the  electrons occupying finite angular momentum orbitals interact with the localized  spin through an effective exchange interaction mediated by electron-electron  interactions. With a localized spin placed in the centre of the dot, only the spins of  electrons occupying the zero angular momentum states of the s, d, shells couple  directly to the localized spin via a contact exchange interaction. The effective  interaction for p-shell electrons is obtained using exact diagonalization of the  microscopic Hamiltonian as a function of the number of electronic shells, shell  spacing and anisotropy of the exchange interaction. The anisotropy of exchange  interpolates between the interaction types characteristics for conduction band  electrons and valence band holes. The obtained results were found in good  agreement with previously obtained results. 

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Published

2020-11-15

Issue

Vol. 39 No. 2 (2020): Bulletin of Pure and Applied Sciences Physics (Jun-Dec) 2020

Section

Articles

How to Cite

Coupling of Electron and Magnetic Ion Spin in Quantum Dots by Electron-Electron Interaction . (2020). Bulletin of Pure and Applied Sciences – Physics, 39(2), 191–195. https://doi.org/10.48165/