Prediction of the capacitance lineshape in two-channel quantum dots

Abstract

We propose a set-up to realize two-channel Kondo physics using quantum dots. We discuss how the charge fluctuations on a small dot can be accessed by using a system of two single electron transistors arranged in parallel. We derive a microscopic Hamiltonian description of the set-up that allows us to make connection with the two-channel Anderson model (of extended use in the context of heavy-Fermion systems) and in turn make detailed predictions for the differential capacitance of the dot. We find that its lineshape, which we determined precisely, shows a robust behavior that should be experimentally verifiable.

arXiv comment4 pages, 3 figures

References in corpus (18)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• Quantum phase transition in a two-channel-Kondo quantum dot device
• Observation of Quantum Fluctuations of Charge on a Quantum Dot
• Solution of the Two-Channel Anderson Impurity Model - Implications for the Heavy Fermion UBe${}_{13}$ -
• Mixed-valent regime of the two-channel Anderson impurity as a model for UBe_13
• Maximized Orbital and Spin Kondo effects in a single-electron transistor
• The Coulomb Blockade in Quantum Boxes
• Climbing the Entropy Barrier: Driving the Single- towards the Multichannel Kondo Effect by a Weak Coulomb Blockade of the Leads
• Critical Theory of the Two-Channel Anderson Impurity Model
• Small Energy Scale for Mixed-Valent Uranium Materials
• Coulomb blockade and Non-Fermi-liquid behavior in quantum dots
• Renormalization Group Approach to Spectral Properties of the Two-Channel Anderson Impurity Model
• Two-channel Kondo tunneling in triple quantum dot
• Solution of the Multi-Channel Anderson Impurity Model: Ground state and thermodynamics
• Two-channel Anderson Impurity Model: Single-electron Green's function, self-energies, and resistivity
• Dissipative dynamics of an extended magnetic nanostructure: Spin necklace in a metallic environment
• Smearing of Coulomb Blockade by Resonant Tunneling

Cited by in corpus (12)

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• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• Mapping of the Anisotropic Two-channel Anderson Model onto a Fermi-Majorana bi-Resonant Level Model
• Bosonization approach to the mixed-valence two-channel Kondo problem
• SO(5) critical point in a spin-flavor Kondo device -- Bosonization and refermionization solution
• Enhanced Two-Channel Kondo Physics in a Quantum Box Device
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Nonequilibrium occupation number and charge susceptibility of a resonance level close to a dissipative quantum phase transition
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Proposal for a two-channel quantum dot setup: Prediction for the capacitance lineshape