Confined quantum systems in one dimension and conductance oscillations in narrow channels

Abstract

An exactly solvable electron model of a confined system with inverse-square interaction is presented. The ground state is given by the Jastrow-product wavefunction of power-law form. We discuss the results in connection with conductance oscillations observed in semiconductor nanostructures, for which single-electron charging effects play a crucial role. Due to the internal spin degrees of freedom, there appear two independent periods of the conductance oscillations in very narrow channels even at zero temperature.

Latex 14 pages

References in corpus (5)

• Exchange Operator Formalism for Integrable Systems of Particles
• On Models with Inverse-Square Exchange
• Integrable Systems for Particles with Internal Degrees of Freedom
• Solution of Some Integrable One-Dimensional Quantum Systems
• Spectrum of a spin chain with inverse square exchange

Cited by in corpus (2)

• Multicomponent Calogero Model of $B_N$-Type Confined in Harmonic Potential
• Eigenfunctions for SU(N) particles with 1/r^2 interaction in harmonic confinement