Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime

Abstract

We have determined the finite temperature coherence length of edge states in the Integer Quantum Hall Effect (IQHE) regime. This was realized by measuring the visibility of electronic Mach-Zehnder interferometers of different sizes, at filling factor 2. The visibility shows an exponential decay with the temperature. The characteristic temperature scale is found inversely proportional to the length of the interferometer arm, allowing to define a coherence length ${ł}_{\varphi }$. The variations of ${ł}_{\varphi }$ with magnetic field are the same for all samples, with a maximum located at the upper end of the quantum hall plateau. Our results provide the first accurate determination of ${ł}_{\varphi }$ in the quantum Hall regime.

4 pages, 4 figures

References in corpus (4)

• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer

Cited by in corpus (14)

• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
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• Edge Channel Interference Controlled by Landau Level Filling
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• Nonequilibrium Dephasing in an Electronic Mach-Zehnder Interferometer
• Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Universality of Bias- and Temperature-induced Dephasing in Ballistic Electronic Interferometers
• Reduced and projected two-particle entanglement at finite temperatures
• Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
• Universal dephasing in a chiral 1D interacting fermion system
• Cross-correlation of two interacting conductors
• Interference effects in transport across a single incompressible strip at the edge of the fractional quantum Hall system
• Electronic interferometer capacitively coupled to a quantum dot