Dynamical and point symmetry of the Kondo effect in triangular quantum dot

Details Dynamical and point symmetry of the Kondo effect in triangular quantum dot Dynamical and point symmetry of the Kondo effect in triangular quantum dot

2004-12-20

arxiv.org/abs/cond-mat/0412527v1

Physica E 29, 334 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages 1 figure, to appear in the proceeding of FQMT04 (Prague, July 2004)

Scientific paper

10.1016/j.physe.2005.05.031

In this work we concentrate on the {\it point symmetry} of triangular triple quantum dot and its interplay with the {\it spin rotation symmetry} in the context of Kondo tunneling through this kind of artificial molecule. A fully symmetric triangular triple quantum dot is considered, consisting of three identical puddles with the same individual properties (energy levels and Coulomb blockade parameters) and inter-dot coupling (tunnel amplitudes and electrostatic interaction). The underlying Kondo physics is determined by the product of a discrete rotation symmetry group in real space and a continuous rotation symmetry in spin space. These symmetries are reflected in the resulting exchange hamiltonian which naturally involves spin and orbital degrees of freedom. The ensuing poor-man scaling equations are solved and the Kondo temperature is calculated.

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