Coulomb Blockade in the Fractional Quantum Hall Effect Regime

Abstract

We use chiral Luttinger liquid theory to study transport through a quantum dot in the fractional quantum Hall effect regime and find rich non-Fermi-liquid tunneling characteristics. In particular, we predict a remarkable Coulomb-blockade-type energy gap that is quantized in units of the noninteracting level spacing, new power-law tunneling exponents for voltages beyond threshold, and a line shape as a function of gate voltage that is dramatically different than that for a Fermi liquid. We propose experiments to use these unique spectral properties as a new probe of the fractional quantum Hall effect.

4 pages, Revtex

Cited by in corpus (8)

• Superconductor coupled to two Luttinger liquids as an entangler for electron spins
• Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
• Single quasiparticle and electron nano-emitter in the fractional quantum Hall regime
• Signatures of fractional Hall quasiparticles in moments of current through an antidot
• Transport of fractional Hall quasiparticles through an antidot
• Orbital Kondo effect in fractional quantum Hall systems
• Fermi-edge singularity and related interaction induced phenomena in multilevel quantum dots
• Edge mode velocities in the quantum Hall effect from a dc measurement