Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid

Abstract

We theoretically investigate the charge noise and dephasing in a metallic device in close proximity to a spin incoherent Luttinger liquid with a small but finite current. The frequency dependence of the charge noise exhibits a loss of frequency peaks corresponding to the $2k_F$ part of the density correlations in the electron liquid when the temperature $T$ is increased from values below the magnetic exchange energy $J$ of the electron gas to values above it. The dephasing rate in a nearby metallic nanostructure also shows a cross-over for $T\sim J$ and may exhibit a non-monotonic temperature dependence. For a range of temperatures the dephasing rate {\em decreases} with increasing temperatures. The proposed experiments provide a convenient approach to probe the spin-incoherent Luttinger liquid and should be implementable in a wide variety of systems.

9 pages, 3 figures

References in corpus (6)

• Coulomb drag by small momentum transfer between quantum wires
• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Theory of momentum resolved tunneling into a short quantum wire
• Transport in a spin incoherent Luttinger liquid
• Short-range correlations and spin-mode velocities in ultrathin one-dimensional conductors

Cited by in corpus (2)

• Fourier transform of the $2k_F$ Luttinger liquid density correlation function with different spin and charge velocities
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors