Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots

2008/05/14 by Joern N. Kupferschmidt, Piet W. Brouwer
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.78.125313

24 pages, 14 figures

arxiv created 2008/05/14 · openalex publication_date 2008/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the magnetic-field and temperature dependence of all quantum corrections to the ensemble-averaged conductance of a network of quantum dots. We consider the limit that the dimensionless conductance of the network is large, so that the quantum corrections are small in comparison to the leading, classical contribution to the conductance. For a quantum dot network the conductance and its quantum corrections can be expressed solely in terms of the conductances and form factors of the contacts and the capacitances of the quantum dots. In particular, we calculate the temperature dependence of the weak localization correction and show that it is described by an effective dephasing rate proportional to temperature.

Citations

• Interaction Correction to the Conductance of a Ballistic Conductor
• Spin-related effects in transport properties of open quantum dots
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• Suppression of weak localization and enhancement of noise by tunneling in semiclassical chaotic transport
• Transport Properties of Granular Metals at Low Temperatures