Abstract

The Kondo effect plays an important role in emergence of electric polarization in a triangular triple-quantum-dot system, where one of the three dots is point-contacted with a single lead, and a magnetic flux penetrates through the triangular loop. The Kondo-induced electric polarization exhibits an Aharonov-Bohm type oscillation as a function of the magnetic flux. Our theoretical study shows various oscillation patterns associated with the field-dependent mixing of twofold orbitally degenerate ground states and their sensitivity to the point contact.

Highlights

  • Recent nanofabrication techniques have accelerated investigation of the Kondo effect in various multiple-quantum-dot systems [1, 2, 3]

  • According to Bulaevskii et al [11], the operator for the electric polarization is expressed by the correlation among on-site spin operators Si (i = a, b, c) as a consequence of electron hopping in the closed loop

  • In the TTQD Kondo system, we demonstrated how the emergent electric polarization is modulated by the magnetic flux through the triangular loop, which is associated with a cross correlation between spin and charge degrees of freedom

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Summary

Introduction

Recent nanofabrication techniques have accelerated investigation of the Kondo effect in various multiple-quantum-dot systems [1, 2, 3]. The TTQD ground states are fourfold degenerate with respect to the spin and orbital degrees of freedom when the magnetic flux is absent (Φ = 0). According to Bulaevskii et al [11], the operator for the electric polarization is expressed by the correlation among on-site spin operators Si (i = a, b, c) as a consequence of electron hopping in the closed loop.

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