Half-Integer Filling Factor States in Quantum Dots

Abstract

Emergence of half-integer filling factor states, such as nu=5/2 and 7/2, is found in quantum dots by using numerical many-electron methods. These states have interesting similarities and differences with their counterstates found in the two-dimensional electron gas. The nu=1/2 states in quantum dots are shown to have high overlaps with the composite fermion states. The lower overlap of the Pfaffian state indicates that electrons might not be paired in quantum dot geometry. The predicted nu=5/2 state has high spin polarization which may have impact on the spin transport through quantum dot devices.

4 pages, accepted to Phys. Rev. Lett

References in corpus (6)

• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
• Direct Coulomb and Exchange Interaction in Artificial Atoms
• The Collapse of the Spin-Singlet Phase in Quantum Dots
• Vortex Clusters in Quantum Dots
• Magnetically induced chessboard pattern in the conductance of a Kondo quantum dot

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• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• Many-electron transport in Aharonov-Bohm interferometers: Time-dependent density-functional study
• Probing Wigner correlations in a suspended carbon nanotube
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
• Stability of spin droplets in realistic quantum Hall devices