Effects of thickness in quantum dots in strong magnetic fields

Abstract

We study the effects of thickness on the ground states of two-dimensional quantum dots in high magnetic fields. To be specific, we assume the thickness to be small so that only the lowest state in the corresponding direction is occupied, but which however leads to a modification of the effective interaction between the electrons. We find the ground state phase diagram and demonstrate the emergence of new phases as the thickness is accounted for. Finally, the wave functional form and vortex structure of different phases is analyzed.

Optimal confinement potential in quantum Hall droplets

“…On the second lowest Landau level the cut averages at about 84 % and the overlaps are even higher. Similarly increased overlaps have been reported earlier for modified Coulomb interactions whereby thickness or screening is added [13,14,15].…”

Reduced density-matrix functional theory in quantum Hall systems

“…Refs. 36,37). However, the exponential growth of the many-body basis limits the particle number to around 10 depending on M , and some kind of an approximate calculation method becomes necessary.…”

Quantum Hall droplet laterally coupled to a quantum ring

“…The potential barrier separating the two subsystems is approximated by a delta function at radius r 0 scaled by strength C. In this model that aims to capture the essential properties, we neglect the effects of small thickness of the sample 15 and screening by near-by metallic gates to the Coulomb interaction.…”

“…2(b), are due to the fact that a normal parabolic quantum dot with six electrons supports the pentagonal electron configurations except at M = 21 and M = 39. 15 Since the influence of the potential is proportional to its perimeter, at sufficiently small r 0 the potential can no longer force the hexagonal configuration, and the ground-state angular momenta of a parabolic quantum dot, found also at the limit r 0 → ∞, are reacquired.…”