Optimal confinement potential in quantum Hall droplets

Abstract

We find that the confinement potential of a few electron quantum dot can be tuned to significantly increase the overlap with certain quantum Hall trial wave functions. Besides manipulating inter-electron interaction, this approach may prove useful in quantum point contact experiments, which involve narrow constrictions.

4 pages, 1 figure

References in corpus (11)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Measurement-Only Topological Quantum Computation
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Tuning non-linear charge transport between integer and fractional quantum Hall states
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• Effects of thickness in quantum dots at strong magnetic fields
• Quantum Hall droplet laterally coupled to a quantum ring