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.
Published version
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- The sixteenfold way and the quantum Hall effect at half-integer filling factors
- Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
- Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states
- Partition Functions of Non-Abelian Quantum Hall States
- One-dimensional itinerant interacting non-Abelian anyons
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- Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
- Parafermions in Moiré Minibands
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