Transmission Phase Shift of a Quantum Dot with Kondo Correlations

1999/09/30 by Ulrich Gerland, Jan von Delft, T. A. Costi +2 · 9 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Anderson impurity model #Condensed matter physics #Excited state #Gate voltage #Impurity #Kondo effect #Kondo insulator #Phase (matter) #Phase transition #Physics #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Quantum phase transition #Resonance (particle physics) #Scattering #Semiconductor materials and devices #Singlet state #Spin (aerodynamics) #Transistor #Voltage #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.84.3710

published as Phys. Rev. Lett. 84, 3710 (2000) · 4 pages Revtex, 4 figures, final published version

openalex publication_date 2000/04/17 · arxiv created 2000/04/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the effects of Kondo correlations on the transmission phase shift of a quantum dot in an Aharonov-Bohm ring. We predict in detail how the development of a Kondo resonance should affect the dependence of the phase shift on transport voltage, gate voltage, and temperature. This system should allow the first direct observation of the well-known scattering phase shift of pi/2 expected (but not directly measurable in bulk systems) at zero temperature for an electron scattering off a spin- 1 / 2 impurity that is screened into a singlet.

Citations

• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Landauer formula for the current through an interacting electron region
• A ?fermi-liquid? description of the Kondo problem at low temperatures

Cited by

• Aharonov-Bohm interferometry with quantum dots: scattering approach versus tunneling picture
• Functional renormalization group approach to transport through correlated quantum dots
• Transmission phase shift of phonon-assisted tunneling through a quantum dot
• Dynamical spin-spin coupling of quantum dots
• Kondo effect in coupled quantum dots: A noncrossing approximation study
• Flux-dependent Kondo temperature in an Aharonov-Bohm interferometer with an in-line quantum dot
• A Gentle Introduction to the Functional Renormalization Group: The Kondo Effect in Quantum Dots
• Interplay of mesoscopic and Kondo effects for transmission amplitude of few-level quantum dots
• Magnetic polarization currents in double quantum dot devices