Electron fractionalization induced dephasing in Luttinger liquids

Abstract

Using the appropriate fractionalization mechanism, we correctly derive the temperature (T) and interaction dependence of the electron lifetime ${\tau }_F$ in Luttinger liquids. For strong enough interactions, we report that $(T{\tau }_F)\propto g$, with $g\ll 1$ being the standard Luttinger exponent; This reinforces that electrons are {\it not} good quasiparticles. We immediately emphasize that this is of importance for the detection of electronic interferences in ballistic 1D rings and carbon nanotubes, inducing ``dephasing'' (strong reduction of Aharonov-Bohm oscillations).

5 pages, 1 figure (Final version for PRB Brief Report)

References in corpus (2)

• Mesoscopic decoherence in Aharonov-Bohm rings
• Charge fluctuation induced dephasing in a gated mesoscopic interferometer

Cited by in corpus (20)

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• Visibility of current and shot noise in electrical Mach-Zehnder and Hanbury Brown Twiss interferometers
• Decoherence and relaxation of a single electron in a one dimensional conductor
• Electron transport in disordered Luttinger liquid
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Voltage and dephasing probes: a full counting statistics discussion
• Interference induced thermoelectric switching and heat rectification in quantum Hall junctions
• Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
• The electron lifetime in Luttinger liquids
• Dephasing from electron fractionalization
• Electron tunneling into a quantum wire in the Fabry-Perot regime
• Dephasing of spin and charge interference in helical Luttinger liquids
• Aharonov-Bohm conductance through a single-channel quantum ring: Persistent-current blockade and zero-mode dephasing
• Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
• Theory of non-equilibrium electronic Mach-Zehnder interferometer
• Universal dephasing in a chiral 1D interacting fermion system
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Finite-temperature spectroscopy of dirty helical Luttinger liquids