2006/03/31 by Sejoong Kim, Hyun-Woo Lee, Hyun‐Woo Lee
Engineering · Physics and Astronomy · #Amplitude #Condensed matter physics #Conductance #Conductance quantum #Electron #Molecular Junctions and Nanostructures #Phase (matter) #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Quantum point contact #Quantum well #Semiconductor Quantum Structures and Devices #Zero (linguistics) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.73.205319
published as Phys. Rev. B 73, 205319 (2006) · Update on the title, the text, figures, and references. 10 pages, 6 figures
openalex publication_date 2006/05/09 · arxiv created 2006/05/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A pioneering experiment [E. Schuster, E. Buks, M. Heiblum, D. Mahalu, V. Umansky, and Hadas Shtrikman, Nature 385, 417 (1997)] reported the measurement of the transmission phase of an electron traversing a quantum dot and found the intriguing feature of a sudden phase drop in the conductance valleys. Based on the Friedel sum rule for a spinless effective one-dimensional system, it has been previously argued [H.-W. Lee, Phys. Rev. Lett. 82, 2358 (1999)] that the sudden phase drop should be accompanied by the vanishing of the transmission amplitude, or transmission zero. Here we address roles of strong electron-electron interactions on the electron transport through a two-level quantum dot where one level couples with the leads much more strongly than the other level does [P. G. Silvestrov and Y. Imry, Phys. Rev. Lett. 85, 2565 (2000)]. We perform a perturbative conductance calculation with an explicit account of large charging energy and verify that the resulting conductance exhibits transmission zero, in agreement with the analysis based on the Friedel sum rule.