Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
arXiv:0705.2187 · doi:10.1103/PhysRevLett.100.086803
Abstract
We consider a quantum dot in the regime of the quantum Hall effect, particularly in Laughlin states and non-Abelian Read-Rezayi states. We find the location of the Coulomb blockade peaks in the conductance as a function of the area of the dot and the magnetic field. When the magnetic field is fixed and the area of the dot is varied, the peaks are equally spaced for the Laughlin states. In contrast, non-Abelian statistics is reflected in modulations of the spacing which depend on the magnetic field.
arXiv commentPublished version
References in corpus (15)
- Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Anyons and the quantum Hall effect - a pedagogical review
- 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
- A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
- Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
- Probing Non-Abelian Statistics with QuasiParticle Interferometry
- Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
- Switching noise as a probe of statistics in the fractional quantum Hall effect
- Proposal for reading out anyon qubits in non-abelian quantum Hall state
- Parafermionic quasi-particle basis and fermionic-type characters
- Coulomb Blockade in the Fractional Quantum Hall Effect Regime
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- Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
- Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
- Experimental signatures of non-Abelian statistics in clustered quantum Hall states
- The sixteenfold way and the quantum Hall effect at half-integer filling factors
- Coulomb Blockade Doppelgangers in Quantum Hall States
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- Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State
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- Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
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