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

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.

24 pages, 14 figures

References in corpus (7)

• Voltage and dephasing probes: a full counting statistics discussion
• Suppression of weak-localization (and enhancement of noise) by tunnelling in semiclassical chaotic transport
• $G_Q$-corrections in Circuit Theory of Quantum Transport
• Weak localization in a system with a barrier: Dephasing and weak Coulomb blockade
• Stub model for dephasing in a quantum dot
• Al'tshuler-Aronov correction to the conductivity of a large metallic square network
• Interaction correction to the conductance of a ballistic conductor