Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: II. Transport properties

Abstract

We study the effect of an electrostatic coupling between a scanning tunneling microscope tip and a Luttinger liquid wire on the tunneling current and noise between the two. Solving the Dyson equations non perturbatively for a local interaction potential, we derive the Green's functions associated to the wire and to the tip. Interestingly, the electrostatic coupling leads to the existence of new correlators, which we call mixed Green's functions, which are correlators between the bosonic fields of the wire and the tip. Next, we calculate the transport properties up to second order with the amplitude of the tunnel transfer: the tunnel current is strongly reduced by the presence of screening. The zero-frequency noise is modified in a similar way, but the Fano factor remains unchanged. We also consider the effect of the screening on the asymmetry of the finite-frequency non-symmetrized noise and on the conductance.

References in corpus (13)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Detection of Quantum Noise from an Electrically-Driven Two-Level System
• Emission and absorption asymmetry in the quantum noise of a Josephson junction
• Andreev Reflection Enhanced Shot Noise in Mesoscopic SNS Junctions
• Electron injection in a nanotube: noise correlations and entanglement
• Electron injection in a nanotube with leads: finite frequency noise-correlations and anomalous charges
• Electron tunneling into a quantum wire in the Fabry-Perot regime
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• Josephson Frequency Singularity in the Noise of Normal Metal-Superconductor Junctions
• Emission and absorption noise in the fractional quantum Hall effect
• Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads
• Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: I. Spectral properties

Cited by in corpus (7)

• Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: I. Spectral properties
• Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
• The tunneling conductance between a superconducting STM tip and an out-of-equilibrium carbon nanotube
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Minimal alternating current injection into carbon nanotubes
• Extrinsic thermoelectric response of coherent conductors
• Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga-Luttinger liquid