Tunneling Conductance and Coulomb Blockade Peak Splitting of Two Quantum Dots Connected by a Quantum Point Contact

TL;DR

This paper derives a general relation between tunneling conductance and Coulomb blockade peak splitting in coupled quantum dots, revealing a linear temperature dependence at low energies, applicable to both weak and strong transmission regimes.

Contribution

It introduces a unified theoretical framework linking tunneling conductance and Coulomb blockade effects in quantum dots using bosonization and unitary transformation methods.

Findings

Derived a general relation valid for weak and strong transmission

Showed tunneling conductance varies linearly with temperature at low energies

Applicable to a broad range of quantum dot coupling scenarios

Abstract

By using bosonization method and unitary transformation, we give a general relation between the dimensionless tunneling conductance and the fractional Coulomb blockade conductance peak splitting which is valid both for weak and strong transmission between two quantum dots, and show that the tunneling conductance has a linear temperature dependence in the low energy and low temperature limit.