Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs

Piezoelectric coupling, phonons, and tunneling into a quantum Hall edge

Tunneling between edge states in a quantum spin Hall system.

We analyze a quantum spin Hall device with a point contact connecting two of its edges. The contact supports a net spin tunneling current that can be probed experimentally via a two-terminal resistance measurement. We find that the low-bias tunneling current and the differential conductance exhibit scaling with voltage and temperature that depend nonlinearly on the strength of the electron-elec...

1 99 3 Resonant Tunneling Between Quantum Hall Edge States

Resonant tunneling between fractional quantum Hall edge states is studied in the Luttinger liquid picture. For the Laughlin parent states, the resonance line shape is a universal function whose width scales to zero at zero temperature. Extensive quantum Monte Carlo simulations are presented for ν = 1/3 which confirm this picture and provide a parameter-free prediction for the line shape.

Controlled coupling of spin-resolved quantum Hall edge states.

We introduce and experimentally demonstrate a new method that allows us to controllably couple copropagating spin-resolved edge states of a two-dimensional electron gas (2DEG) in the integer quantum Hall regime. The scheme exploits a spatially periodic in-plane magnetic field that is created by an array of Cobalt nanomagnets placed at the boundary of the 2DEG. A maximum charge or spin transfer ...

Composite-fermion edge states and transport through nanostructures in the fractional quantum Hall regime.