Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions

Abstract

In this work, a quantum dot that is defined asymmetrically by electrostatic means induced on a GaAs/AlGaAs heterostructure is investigated to unravel the effect of geometric constrains on the formation of spin droplets under quantised Hall conditions. The incompressibility of exciting nu = 5/2 state is explored by solving the Schrodinger equation within spin density functional theory, where the confinement potential is obtained self-consistently utilising the Thomas-Fermi approximation. Our numerical investigations show that the spatial distribution of the nu = 2 incompressible strips and electron occupation in the second lowest Landau level considerably differ from the results of the laterally symmetric quantum dots. Our findings yield two important consequences, first the incompressibility of the intriguing nu = 5/2 state is strongly affected by the asymmetry, and second, since the Aharonov-Bohm interference patterns depend on the velocity of the particles, asymmetry yields an additional parameter to adjust the oscillation period, which imposes a boundary condition dependency in observing quasi-particle phases.

arXiv comment7 pages, 8 figures

References in corpus (34)

• Non-Abelian Anyons and Topological Quantum Computation
• An Electronic Mach-Zehnder Interferometer
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Correlation energy and spin polarization in the 2D electron gas
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Fractional Quantum Hall Effect in the Second Landau Level
• Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Primary-Filling e/3 Quasiparticle Interferometer
• Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Impact of disorder on the 5/2 fractional quantum Hall state
• Thomas-Fermi-Poisson theory of screening for latterally confined and unconfined two-dimensional electron systems in strong magnetic fields
• Exact Solution for Bulk-Edge Coupling in the Non-Abelian $\nu =5/2$ Quantum Hall Interferometer
• Self-consistent calculation of the electron distribution near a Quantum-Point Contact in the integer Quantum Hall Effect
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Interaction-Induced Spin Polarization in Quantum Dots
• Fractional Quantum Hall Effect at High Fillings in a Two-subband Electron System
• Spin-droplets in confined quantum Hall systems
• Half-Integer Filling Factor States in Quantum Dots
• Potential landscapes and induced charges near metallic islands in three dimensions
• Cyclic Depopulation of Edge States in a large Quantum Dot
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• The effect of sample properties on the electron velocity in quantum Hall bars
• Tunability of qubit Coulomb interaction: Numerical analysis of top gate depletion in two-dimensional electron systems
• Investigation of the coupling asymmetries at double-slit interference experiments
• Stability of spin droplets in realistic quantum Hall devices

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• Exact-exchange density functional theory of the integer quantum Hall effect: strict 2D limit