Coulomb blockade with neutral modes

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 (24)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Observation of neutral modes in the fractional quantum Hall regime
• Impurity scattering and transport of fractional Quantum Hall edge state
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Local Charge of the nu=5/2 Fractional Quantum Hall State
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Proliferation of neutral modes in fractional quantum Hall states
• Charging Spectrum and Configurations of a Wigner Crystal Island
• 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
• Exact Solution for Bulk-Edge Coupling in the Non-Abelian $\nu =5/2$ Quantum Hall Interferometer
• Bulk-edge coupling in the non-abelian $\nu =5/2$ 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
• Coulomb Blockade Doppelgangers in Quantum Hall States
• A Quantized $\nu =5/2$ State in a Two-Subband Quantum Hall System
• Topological blockade and measurement of topological charge
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots

Cited by in corpus (9)

• Fractional charge and fractional statistics in the quantum Hall effects
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Is the composite fermion state of Graphene a doped Chern insulator?
• Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
• Electron-pairing in the quantum Hall regime due to neutralon exchange
• Universal quantum noise in adiabatic pumping
• Edge mode velocities in the quantum Hall effect from a dc measurement
• Superconductivity of neutral modes in quantum Hall edges