Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-11-24
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
73 pages, 28 figures, to be published in Physics Reports. The resolution of some figures is reduced in this upload
Scientific paper
10.1016/j.physrep.2007.11.001
A quantum antidot, a submicron depletion region in a two-dimensional electron system, has been actively studied in the past two decades, providing a powerful tool for understanding quantum Hall systems. In a perpendicular magnetic field, electrons form bound states around the antidot. Aharonov-Bohm resonances through such bound states have been experimentally studied, showing interesting phenomena such as Coulomb charging, h/2e oscillations, spectator modes, signatures of electron interactions in the line shape, Kondo effect, etc. None of them can be explained by a simple noninteracting electron approach. Theoretical models for the above observations have been developed recently, such as a capacitive-interaction model for explaining the h/2e oscillations and the Kondo effect, numerical prediction of a hole maximum-density-droplet antidot ground state, and spin density-functional theory for investigating the compressibility of antidot edges. In this review, we summarize such experimental and theoretical works on electron interactions in antidots.
Ford C. J. B.
Kataoka Masaya
Sim Hyung-Seok
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