11:15 AM–2:15 PM, Tuesday, March 14, 2006
Baltimore Convention Center - 338
Sponsoring Unit:
DCMP
Chair: Joe Tischler, Naval Research Laboratory
Abstract ID: BAPS.2006.MAR.H35.14
1:51 PM–2:03 PM
Alev Devrim Guclu
(Cornell University)
Gun Sang Jeon
(Pennsylvania State University)
Cyrus J. Umrigar
(Cornell University)
Jainendra K. Jain
(Pennsylvania State University)
The maximum-density droplet of quantum dots is a finite-size realization of the state at filling factor one. For a sufficiently small number of electrons, it becomes unstable to the creation of a central hole as the magnetic field is increased or the strength of the confinement potential reduced. The simplest model for the hole is a vortex at the center, which, however, is renormalized by edge excitations. We show that a remarkably accurate description of the actual hole state is achieved in terms of a ``composite-fermion antiparticle,'' which is surprising in view of the fact that composite fermions are thought to be relevant only in the fractional Hall regime. The composite-fermion antiparticle description also allows us to study the effect of Landau level mixing through variational and diffusion Monte Carlo calculations in a very efficient manner. Generalizations to systems containing several holes, as well as to the quasiholes of fractional quantum Hall states are presented.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2006.MAR.H35.14