Polaronic Correction to the Ground State Energy and Effective Mass in a Two- and Three-Dimensional Quantum Dot
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A Landau-Pekar variational theory is employed to obtain an analytical expression for the polaronic correction to the ground state energy and the effective mass of an electron confined in a symmetric quantum dot potential in polar semiconductor in both two and three dimensions. It is found that polaronic correction is more pronounced in two dimension than that in three dimensional one and increases with the decrease in size of the quantum dot.
KeywordsQuantum dot Polaron Effective mass
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- 22.L.D. Landau, S.I. Pekar, Zh. Eksp. Teor. Fiz. 16, 341 (1946) Google Scholar