2001/03/31 by I. L. Aleǐner, I. L. Aleiner, Piet W. Brouwer +2 · 6 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1016/s0370-1573(01)00063-1
published as Physics Reports, Volume 358, Issues 5-6, March 2002, Pages 309-440 · 169 pages, 28 figures; several references and footnotes are added, and noticed typos corrected
arxiv created 2001/10/24 · openalex publication_date 2002/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the quantum interference effects in a system of interacting electrons confined to a quantum dot. The review starts with a description of an isolated quantum dot. We discuss the status of the Random Matrix theory (RMT) of the one-electron states in the dot, present the universal form of the interaction Hamiltonian compatible with the RMT, and derive the leading corrections to the universal interaction Hamiltonian. Next, we discuss a theoretical description of a dot connected to leads via point contacts. Having established the theoretical framework to describe such an open system, we discuss its transport and thermodynamic properties. We review the evolution of the transport properties with the increase of the contact conductances from small values to values ∼ e2/πℏ. In the discussion of transport, the emphasis is put on mesoscopic fluctuations and the Kondo effect in the conductance.