Full text
| |
| Author(s): |
Antonio Carlos Ferreira Seridonio
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física de São Carlos (IFSC/BT) |
| Defense date: | 2005-09-15 |
| Examining board members: |
Luiz Nunes de Oliveira;
Francisco Castilho Alcaraz;
José D\'Albuquerque e Castro;
Valter Luiz Libero;
Amós Troper
|
| Advisor: | Luiz Nunes de Oliveira |
| Abstract | |
Numerical Renormalization Group (NRG) results for the temperature dependent linear conductance associated with the scanning-tunneling current through a probe near a magnetic impurity are reported. We used the Single Impurity Anderson Model to describe the host metal and a free electron Hamiltonian to simulate a STM (Scanning Tunneling Microscope) biased tip. The calculation of the conductance is obtained from the Kubo Formula with the Tunneling Hamiltonian treated as a perturbation with two tunneling channels, STM tip-impurity and STM tip-host metal, with the objective to describe this fully nonequilibrium system. This calculation is guided by Wilson\'s NRG to determine a conductance formula as a funciton of spectral densities: the local impurity density and the density relative to the first conduction site of the NRG tight-binding chain. This result for the NRG operator transforms this theoretical object into a measurable quantity. We show that, under special conditions, plotted as a function of temperature, this zero-bias conductance follows a universal curve. As a function of tip-impurity separation, the tunneling currents display Friedel Oscilations, which determine the size of the Kondo cloud. Finally, plotted as a function of impurity energy, the current from the impurity to the tip displays a Kondo plateau. The inferference between this current and that flowing from the conduction band to the tip displays Fano anti-ressonances analogous to those seen in spectroscopic measurements. (AU) | |