Population switching and charge sensing in quantum dots: A case for a quantum phase transition
arXiv:0908.3591 · doi:10.1103/PhysRevLett.104.226805
Abstract
A broad and a narrow level of a quantum dot connected to two external leads may swap their respective occupancies as a function of an external gate voltage. By mapping this problem onto a multi-flavored Coulomb-gas we show that such population switching is not abrupt. However, trying to measure it by adding a third electrostatically coupled lead may render this switching an abrupt first order quantum phase transition. This is related to the interplay of the Mahan mechanism versus the Anderson orthogonality catastrophe, in similitude to the Fermi edge singularity. A concrete setup for experimental observation of this effect is also suggested.
4.2 pages, 4 figures; v3: published version
References in corpus (15)
- Kondo effect in quantum dots coupled to ferromagnetic leads
- Unified description of correlations in double quantum dots
- Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
- Transmission through Quantum Dots: Focus on Phase Lapses
- Quantum phase transition of Ising-coupled Kondo impurities
- Electron Bunching in Transport Through Quantum Dots in High Magnetic Field
- Interference effects in interacting quantum dots
- Scaling and Enhanced Symmetry at the Quantum Critical Point of the Sub-Ohmic Bose-Fermi Kondo Model
- Dissipation-induced quantum phase transition in a quantum box
- Interplay of electromagnetic noise and Kondo effect in quantum dots
- Correlation-induced resonances and population switching in a quantum dot coulomb valley
- Minimal realization of the Orbital Kondo effect in a Quantum Dot with two Leads
- Transmission phase of a quantum dot: Testing the role of population switching
- A quantum criticality perspective on the charging of narrow quantum-dot levels
- Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies
Cited by in corpus (18)
- Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
- Electron Attraction Mediated by Coulomb Repulsion
- The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
- Renormalized Lindblad Driving: A Numerically-Exact Nonequilibrium Quantum Impurity Solver
- Anderson Orthogonality in the Dynamics After a Local Quantum Quench
- Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
- Anderson Orthogonality and the Numerical Renormalization Group
- Quantum impurity coupled to Majorana edge fermions
- Interplay of quantum phase transition and flat band in hybrid lattices
- Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility
- Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
- Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
- Identifying an environment-induced localization transition from entropy and conductance
- Transmission phase lapses through a quantum dot in a strong magnetic field
- Quantum measurement induces a many-body transition
- Detector-tuned overlap catastrophe in quantum dots
- Theory of interaction-dependent instability in quantum detection by means of Luttinger liquid tunnel junction: a rigorous theorem
- Back-action effects in charge detection