Orbital fluctuations and strong correlations in quantum dots

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Lecture note to appear in Philosophical Magazine

Scientific paper

10.1080/14786430500469069

In this lecture note we focus our attention to quantum dot systems where exotic strongly correlated behavior develops due to the presence of orbital or charge degrees of freedom. After giving a concise overview of the theory of transport and Kondo effect through a single electron transistor, we discuss how SU(4) Kondo effect develops in dots having orbitally degenerate states and in double dot systems, and then study the singlet-triplet transition in lateral quantum dots. Charge fluctuations and Matveev's mapping to the two-channel Kondo model in the vicinity of charge degeneracy point are also discussed.

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