Spin-droplets in confined quantum Hall systems
arXiv:0712.0991 · doi:10.1103/PhysRevB.77.041302
Abstract
Two-dimensional semiconductor quantum dots are studied in the the filling-factor range 2<v<3. We find both theoretical and experimental evidence of a collective many-body phenomenon, where a fraction of the trapped electrons form an incompressible spin-droplet on the highest occupied Landau level. The phenomenon occurs only when the number of electrons in the quantum dot is larger than ~30. We find the onset of the spin-droplet regime at v=5/2. This proposes a finite-geometry alternative to the Moore-Read-type Pfaffian state of the bulk two-dimensional electron gas. Hence, the spin-droplet formation may be related to the observed fragility of the v=5/2 quantum Hall state in narrow quantum point contacts.
To appear in Phys. Rev. B (Rapid. Comm.)
References in corpus (15)
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- The Addition Spectrum of a Lateral Dot from Coulomb and Spin Blockade Spectroscopy
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Direct Coulomb and Exchange Interaction in Artificial Atoms
- Subsurface charge accumulation imaging of a quantum Hall liquid
- Topographic Mapping of the Quantum Hall Liquid using a Few-Electron Bubble
- Three real-space discretization techniques in electronic structure calculations
- Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2
- Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
- Imaging a Single-Electron Quantum Dot
- Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function
- Half-Integer Filling Factor States in Quantum Dots
- Variational Monte Carlo for Interacting Electrons in Quantum Dots
- Spin precession in a fractional quantum Hall state with spin-orbit coupling
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- Laplacian-level density functionals for the exchange-correlation energy of low-dimensional nanostructures
- Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
- Variational Scarring in Graphene Quantum Dots
- Quantitative modeling of spin relaxation in quantum dots
- Scaling in the correlation energies of two-dimensional artificial atoms
- Many-electron transport in Aharonov-Bohm interferometers: Time-dependent density-functional study
- Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
- Tinie -- a software package for electronic transport through two-dimensional cavities in a magnetic field
- Exact-exchange density functional theory of the integer quantum Hall effect: strict 2D limit