Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime

Abstract

The ν=5/2 anti-Pfaffian state and the ν=2/3 state are believed to have an edge composed of counter-propagating charge and neutral modes. This situation allows the generation of a pure thermal bias between two composite edge states across a quantum point contact (QPC) as was experimentally established in Nature 466, 585 (2010). We show that replacing the QPC by a quantum dot provides a natural way for detecting the neutral modes via the finite current generated by the thermoelectric response of the dot. We also show that the degeneracies of the dot spectrum, dictated by the conformal field theories (CFTs) describing these states, induce asymmetries in the thermoelectric current peaks. This in turn provides a direct fingerprint of the corresponding CFT.

5+4 pages, 2 figures; revisions and additions (in the supplementary). Accepted to PRL

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of neutral modes in the fractional quantum Hall regime
• Fractional Quantum Hall Hierarchy and the Second Landau Level
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Charge tunneling in fractional edge channels
• Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
• Quantum Hall States at $\nu =\frac{2}{k+2}$
• Experimental signatures of non-Abelian statistics in clustered quantum Hall states
• Charge-statistics separation and probing non-Abelian states
• 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

Cited by in corpus (14)

• Fractional charge and fractional statistics in the quantum Hall effects
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Transmission of heat modes across a potential barrier
• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Coulomb blockade with neutral modes
• Measuring topological entanglement entropy using Maxwell relations
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• Detector-tuned overlap catastrophe in quantum dots
• Statistics of energy dissipation in a quantum dot operating in the cotunneling regime
• Unexpected tunneling current from downstream neutral modes
• Back-action effects in charge detection
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Thermopower in the Coulomb blockade regime for Laughlin quantum dots