Interacting electrons on a two-dimensional surface: planar vs. spherical geometries

✍ Scribed by Arkadiusz Wójs; John J. Quinn

• Book ID: 104429276
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 205 KB
• Volume: 3
• Category: Article
• ISSN: 1386-9477
• DOI: 10.1016/s1386-9477(98)00236-7

✦ Synopsis

The center-of-mass excitations are identiÿed in the spectrum of electrons on a two-dimensional surface in the lowest Landau level. The correspondence between the quantum numbers labeling electron states on a sphere and on a plane is drawn. The excitation spectrum on a sphere with increasing radius is shown to converge to that on a plane. In particular, in the presence of a lateral conÿnement (i.e. for the case of quantum dots), identical series of magic states appear in both cases. Also, a class of interaction potentials which lead to the fractional quantum Hall e ect in an extended system are identiÿed.