Coulombically Interacting Electrons in a One-dimensional Quantum Dot

Details Coulombically Interacting Electrons in a One-dimensional Quantum Dot Coulombically Interacting Electrons in a One-dimensional Quantum Dot

1993-03-24

arxiv.org/abs/cond-mat/9303043v1

Physics

Condensed Matter

10 pages (excl. Figures), Figures added in POSTSCRIPT, LaTeX

Scientific paper

10.1103/PhysRevB.47.16353

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is investigated as a function of the electron number and of the system length. The limitations of a description in terms of a capacitance are demonstrated. The energetically lowest lying excitations are physically explained as vibrational and tunneling modes. The limits of a dilute, Wigner-type arrangement of the electrons, and a dense, more homogeneous charge distribution are discussed.

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