Universal non-equilibrium states at the fractional quantum Hall edge

Abstract

Integrability of electron dynamics in one dimension is manifested by the non-equilibrium stationary states. They emerge near a point contact coupling two quantum Hall edges with different chemical potentials. I use the non-equilibrium bosonization technique to show that the effective temperature of such states at the fractional quantum Hall edges has a universal linear dependence on the current through the contact. In contrast, the temperature at eventual equilibrium scales as the square root of the power dissipating at the point contact. I propose to use this distinction to detect these intriguing non-equilibrium states.

6+ pages, 4 figures; accepted version

References in corpus (7)

• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Observation of neutral modes in the fractional quantum Hall regime
• Electron quantum optics in ballistic chiral conductors
• Tuning Energy Relaxation along Quantum Hall Channels
• Proliferation of neutral modes in fractional quantum Hall states
• Edge Channel Interference Controlled by Landau Level Filling
• Tunable non-equilibrium Luttinger liquid based on counter-propagating edge channels

Cited by in corpus (6)

• Fractional statistics in anyon collisions
• Time-resolved energy dynamics after single electron injection into an interacting helical liquid
• Transmission of heat modes across a potential barrier
• Symmetry-related transport on a fractional quantum Hall edge
• Quantum ammeter
• Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect