Quantum phase transition in capacitively coupled double quantum dots

Abstract

We investigate two equivalent, capacitively coupled semiconducting quantum dots, each coupled to its own lead, in a regime where there are two electrons on the double dot. With increasing interdot coupling a rich range of behavior is uncovered: first a crossover from spin- to charge-Kondo physics, via an intermediate SU(4) state with entangled spin and charge degrees of freedom; followed by a quantum phase transition of Kosterlitz-Thouless type to a non-Fermi liquid `charge-ordered' phase with finite residual entropy and anomalous transport properties. Physical arguments and numerical renormalization group methods are employed to obtain a detailed understanding of the problem.

4 pages, 3 figures

References in corpus (10)

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• Coherent coupling of two quantum dots embedded in an Aharonov-Bohm ring
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• Quantum Phase Transition in a Multi-Level Dot
• Scaling Of The Coulomb Energy Due To Quantum Fluctuations In The Charge Of A Quantum Dot
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• Interference in interacting quantum dots with spin
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• Quantum phase transition of Ising-coupled Kondo impurities

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• Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
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• Two-channel Kondo physics in odd impurity chains
• The Kondo crossover in shot noise of a single quantum dot with orbital degeneracy
• Spin-orbital Kondo effect in a parallel double quantum dot
• Finite-temperature conductance signatures of quantum criticality in double quantum dots
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
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• Transport in Carbon Nanotubes: 2LSU(2) regime reveals subtle competition between Kondo and Intermediate Valence states
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• SO(5) non-Fermi liquid in a Coulomb box device
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• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
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• Anisotropic charge Kondo effect in a triple quantum dot
• Restoring the SU(4) Kondo regime in a double quantum dot system
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• Convergence of energy scales on the approach to a local quantum critical point
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• Ground State and Excitations of Quantum Dots with "Magnetic Impurities"
• Realistic quantum critical point in one-dimensional two-impurity models
• Quantum phase transition and underscreened Kondo effect in electron transport through parallel double quantum dots
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• Magnetic Kondo regimes in a frustrated half-filled trimer
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• Thermal Symmetry Crossover and Universal Behaviors in Carbon Nanotube Dots
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• Observation of Kondo Effect in a Quadruple Quantum Dots
• Universal conductance enhancement and reduction of the two-orbital Kondo effect
• Spin-orbital Kondo decoherence by environmental effects in capacitively coupled quantum dot devices
• Zero-field splitting of the Kondo resonance and quantum criticality in triple quantum dots
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• Dynamic Transport Characteristics of Side-Coupled Double Quantum-Impurity Systems
• On the competition between the Kondo effect and the exchange interaction in a parallel double quantum dot system
• Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime