Abstract
An integrable model for SU(v) electrons with inverse-square interaction is studied for the system with harmonic confinement. We obtain exactly the ground-state wavefunction of Jastrow type and the excited-state wavefunctions out of Hermite polynomials. The corresponding energy spectrum is computed exactly. The results are then applied to single-electron charging phenomena in narrow channels of semiconductor nano-structures.
Keywords
- Narrow Channel
- Semiconductor Nanostructures
- Multi Component Model
- Conductance Oscillation
- Dimensionless Interaction Parameter
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© 1994 Springer-Verlag Berlin Heidelberg
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Vacek, K., Okiji, A., Kawakami, N. (1994). Confined System with 1/r 2 Exchange Interaction and Its Application to Resonances in Narrow Channels. In: Okiji, A., Kawakami, N. (eds) Correlation Effects in Low-Dimensional Electron Systems. Springer Series in Solid-State Sciences, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85129-2_5
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DOI: https://doi.org/10.1007/978-3-642-85129-2_5
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