Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
arXiv:cond-mat/0402099 · doi:10.1103/PhysRevB.70.125305
Abstract
We present a theoretical study of the influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer. In contrast to phenomenological approaches, we employ a microscopic model where dephasing is induced by the fluctuations of a classical potential. This enables us to treat the influence of the environment's fluctuation spectrum on the shot noise. We compare against the results obtained from a simple classical model of incoherent transport, as well as those derived from the phenomenological dephasing terminal approach, arguing that the latter runs into a problem when applied to shot noise calculations for interferometer geometries. From our model, we find two different limiting regimes: If the fluctuations are slow as compared to the time-scales set by voltage and temperature, the usual partition noise expression T(1-T) is averaged over the fluctuating phase difference. For the case of ``fast'' fluctuations, it is replaced by a more complicated expression involving an average over transmission amplitudes. The full current noise also contains other contributions, and we provide a general formula, as well as explicit expressions and plots for specific examples.
18 pages, 8 figures. A brief version is contained in cond-mat/0306504
References in corpus (3)
Cited by in corpus (29)
- Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
- Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
- Edge Channel Interference Controlled by Landau Level Filling
- Resonant dephasing in the electronic Mach-Zehnder interferometer
- Decoherence and interactions in an electronic Mach-Zehnder interferometer
- Voltage and dephasing probes: a full counting statistics discussion
- Coherence oscillations in dephasing by non-Gaussian shot noise
- Electron tunneling into a quantum wire in the Fabry-Perot regime
- The Leggett-Garg inequality in electron interferometers
- Mach-Zehnder interferometry with periodic voltage pulses
- Fermionic Mach-Zehnder interferometer subject to a quantum bath
- Multi-channel architecture for electronic quantum-Hall interferometry
- Shot noise of photon-excited electron-hole pairs in open quantum dots
- Interference and multi-particle effects in a Mach-Zehnder interferometer with single-particle sources
- Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
- Equations of motion approach to decoherence and current noise in ballistic interferometers coupled to a quantum bath
- Exponential sensitivity to dephasing of electrical conduction through a quantum dot
- Quantum teleportation of single-electron states
- What can we learn about the dynamics of transported spins by measuring shot noise in spin-orbit-coupled nanostructures?
- Probing the quantum Hall state with electronic Mach-Zehnder interferometry
- Current-voltage correlations in interferometers
- Electron interference and entanglement in coupled 1D systems with noise
- Quantum pump driven fermionic Mach-Zehnder interferometer
- Stub model for dephasing in a quantum dot
- Clauser-Horne inequality and decoherence in mesoscopic conductors
- Mitigating decoherence in hot electron interferometry
- Asymmetric arms maximise visibility in hot-electron interferometers
- Monitored quantum transport: full counting statistics of a quantum Hall interferometer
- Shot noise from which-path detection in a chiral Majorana interferometer