Dynamical symmetries in Kondo tunneling through complex quantum dots

TL;DR

This paper explores how Kondo tunneling in complex quantum dots exhibits hidden SO(n) dynamical symmetries, which can be tuned experimentally, and derives the associated algebraic structures, scaling equations, and Kondo temperatures.

Contribution

It introduces a method to identify and manipulate SO(n) symmetries in quantum dots, providing a framework for understanding their Kondo effects.

Findings

SO(n) symmetries can be tuned via gate voltages in triple quantum dots

Scaling equations for these symmetries are derived

Kondo temperatures are calculated for different symmetries

Abstract

Kondo tunneling reveals hidden SO(n) dynamical symmetries of evenly occupied quantum dots. As is exemplified for an experimentally realizable triple quantum dot in parallel geometry, the possible values n=3,4,5,7 can be easily tuned by gate voltages. Following construction of the corresponding o(n) algebras, scaling equations are derived and Kondo temperatures are calculated. The symmetry group for a magnetic field induced anisotropic Kondo tunneling is SU(2) or SO(4).