Orbital fluctuations and strong correlations in quantum dots

Gergely Zarand (1)

1 Institute of Physics, Theoretical Physics Department

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.

Mots clés: Physical Sciences

Gergely Zarand. Orbital fluctuations and strong correlations in quantum dots. Philosophical Magazine, 2006, 86 (13-14), pp.2047-2076. ⟨10.1080/14786430500469069⟩. ⟨hal-00513638⟩