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

Yshai Avishai, Tetyana Kuzmenko, Konstantin Kikoin

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this work we concentrate on the point symmetry of a triangular triple quantum dot and its interplay with the 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.

Original languageEnglish
Pages (from-to)334-340
Number of pages7
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-2
StatePublished - 1 Oct 2005


  • Dynamical symmetry
  • Kondo effect
  • Quantum dots
  • Renormalization group

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics


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