Dynamical symmetries in nanophysics

Details Dynamical symmetries in nanophysics Dynamical symmetries in nanophysics

2004-07-02

arxiv.org/abs/cond-mat/0407063v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

60 pages, 15 figures, review article

Scientific paper

The concept of dynamical symmetries is specified for quantum dots under strong Coulomb blockade. It is shown that the electron cotunneling through quantum dots may be described in terms of generators of SO(n) or SU(n) dynamical groups, which characterize the energy spectrum of quantum dots. Various experimental manifestations of dynamical symmetry in Kondo tunneling both in equilibrium and out of equilibrium are reviewed. Special attention is payed to algebraic aspects of dynamical symmetries: various representation of group generators in terms of Hubbard operators, bosonic and fermionic fields are described.

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