2009/05/23 by M. Guigou, Marine Guigou, Thierry Martin +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.80.045421
published as Physical Review B 80 (2009) 045421
arxiv created 2009/05/23 · openalex publication_date 2009/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 nonperturbatively 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 profile of the tunneling current is strongly modified 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 nonsymmetrized noise and on the conductance.