Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-07-09
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 2 ps figs included using epsf.sty. Revision: added important reference and consequent text changes, other small corre
Scientific paper
10.1103/PhysRevB.61.R2425
We investigate the spin of the ground state of a geometrically confined many-electron system. For atoms, shell structure simplifies this problem-- the spin is prescribed by the well-known Hund's rule. In contrast, quantum dots provide a controllable setting for studying the interplay of quantum interference and electron-electron interactions in general cases. In a generic confining potential, the shell-structure argument suggests a singlet ground state for an even number of electrons. The interaction among the electrons produces, however, accidental occurrences of spin-triplet ground states, even for weak interaction, a limit which we analyze explicitly. Variaton of an external parameter causes sudden switching between these states and hence a kink in the conductance. Experimental study of these kinks would yield the exchange energy for the ``chaotic electron gas''.
Baranger Harold U.
Glazman Leonid I.
Ullmo Denis
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