Neutral mode heat transport and fractional quantum Hall shot noise

Abstract

We study nonequilibrium edge state transport in the fractional quantum Hall regime for states with one or several counter-propagating neutral modes. We consider a setup in which the neutral modes are heated by a hot spot, and where heat transported by the neutral modes causes a temperature difference between the upper and lower edges in a Hall bar. This temperature difference is probed by the excess noise it causes for scattering across a quantum point contact. We find that the excess noise in the quantum point contact provides evidence for counter-propagating neutral modes, and we calculate its dependence on both the temperature difference between the edges and on source drain bias.

4 pages, 3 figures

References in corpus (7)

• 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
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• 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

Cited by in corpus (13)

• Fractional charge and fractional statistics in the quantum Hall effects
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Non-equilibrium noise in transport across a tunneling contact between $\nu =2/3$ fractional quantum Hall edges
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Transmission of heat modes across a potential barrier
• Symmetry-related transport on a fractional quantum Hall edge
• Upstream neutral modes in the fractional quantum Hall effect regime: heat waves or coherent dipoles
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• Statistics of energy dissipation in a quantum dot operating in the cotunneling regime
• Unexpected tunneling current from downstream neutral modes
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations