On the scaling approach to electron-electron interactions in a chaotic quantum dot

Abstract

A scaling theory is used to study the low energy physics of electron-electron interactions in a double quantum dot. We show that the fact that electrons are delocalized over two quantum dots does not affect the instability criterion for the description of electron-electron interactions in terms of a ``universal interaction Hamiltonian''.

4 pages, 3 figures

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• Renormalization Group Approach to Interacting Fermions
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• The Statistical Theory of Quantum Dots
• Quantum Effects in Coulomb Blockade
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Cited by in corpus (7)

• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Chaotic quantum dots with strongly correlated electrons
• Random Matrix Crossovers and Quantum Critical Crossovers for Interacting Electrons in Quantum Dots
• Quantum criticality near the Stoner transition in a two-dot with spin-orbit coupling
• Ballistic Quantum Dots with Disorder and Interactions: A numerical study on the Robnik-Berry billiard
• Interactions, superconducting $T_c$, and fluctuation magnetization for two coupled dots in the crossover between the Gaussian Orthogonal and Unitary ensembles
• The renormalization group for interacting fermions: from Fermi liquids to quantum dots