Coulomb blockade with neutral modes
arXiv:1408.4484 · doi:10.1103/PhysRevLett.114.156401
Abstract
We study transport through a quantum dot in the fractional quantum Hall regime with filling factors ν=2/3 and ν=5/2, weakly coupled to the leads. We account for both injection of electrons to/from the leads, and quasiparticle rearrangement processes between the edge and the bulk of the quantum dot. The presence of neutral modes introduces topological constraints that modify qualitatively the features of the Coulomb blockade (CB). The periodicity of CB peak spacings doubles and the ratio of spacing between adjacent peaks approaches (in the low temperature and large dot limit) a universal value: 2:1 for ν=2/3 and 3:1 for ν=5/2. The corresponding CB diamonds alternate their width in the direction of the bias voltage and allow for the determination of the neutral mode velocity, and of the topological numbers associated with it.
5 pages, 4 figures
References in corpus (11)
- Non-Abelian Anyons and Topological Quantum Computation
- Particle-hole symmetry and the Pfaffian state
- Particle-Hole Symmetry and the Quantum Hall State
- Observation of neutral modes in the fractional quantum Hall regime
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
- Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
- Bulk-edge coupling in the non-abelian quantum Hall interferometer
- Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
- Experimental signatures of non-Abelian statistics in clustered quantum Hall states
- Topological blockade and measurement of topological charge