Scattering phases in quantum dots: an analysis based on lattice models
arXiv:cond-mat/0006281 · doi:10.1103/PhysRevB.62.7307
Abstract
The properties of scattering phases in quantum dots are analyzed with the help of lattice models. We first derive the expressions relating the different scattering phases and the dot Green functions. We analyze in detail the Friedel sum rule and discuss the deviation of the phase of the transmission amplitude from the Friedel phase at the zeroes of the transmission. The occurrence of such zeroes is related to the parity of the isolated dot levels. A statistical analysis of the isolated dot wave-functions reveals the absence of significant correlations in the parity for large disorder and the appearance, for weak disorder, of certain dot states which are strongly coupled to the leads. It is shown that large differences in the coupling to the leads give rise to an anomalous charging of the dot levels. A mechanism for the phase lapse observed experimentally based on this property is discussed and illustrated with model calculations.
18 pages, 9 figures. to appear in Physical Review B
References in corpus (5)
- Generic transmission zeros and in-phase resonances in time-reversal symmetric single channel transport
- Friedel phases and phases of transmission amplitudes in quantum scattering systems
- Transport in multilevel quantum dots: from the Kondo effect to the Coulomb blockade regime
- Coherent Transport through a Quantum Dot Embedded in an Aharonov-Bohm Ring
- An Approximate Sign Sum Rule for the Transmission Amplitude Through a Quantum Dot
Cited by in corpus (53)
- Non-Hermitian Physics
- Quantum properties of atomic-sized conductors
- Floquet scattering theory of quantum pumps
- Improvements on non-equilibrium and transport Green function techniques: the next-generation transiesta
- Coulomb-Modified Fano Resonance in a One-Lead Quantum Dot
- Crossover from mesoscopic to universal phase for electron transmission in quantum dots
- Which phase is measured in the mesoscopic Aharonov-Bohm interferometer?
- Wigner time delay and related concepts -- Application to transport in coherent conductors
- Magnetic field dependent transmission phase of a double dot system in a quantum ring
- Quantum Interference in Off-Resonant Transport through Single Molecules
- Transmission through Quantum Dots: Focus on Phase Lapses
- Nonmonotonic charge occupation in double dots
- Chiral bound states in the continuum
- Delayed currents and interaction effects in mesoscopic capacitors
- Steps and dips in the ac conductance and noise of mesoscopic structures
- Superexchange blockade in triple quantum dots
- Effects of signs in tunneling matrix elements on transmission zeros and phase
- Theoretical study of electronic transport through a small quantum dot with a magnetic impurity
- Thermopower of a Quantum Dot in a Coherent Region
- Dark Bell states in tunnel-coupled spin qubits
- Quantum interference in a Cooper pair splitter: The three sites model
- Interference Effect in Multi-level Transport through a Quantum Dot
- Effects of external radiation on biased Aharonov-Bohm rings
- Scattering phase of quantum dots: Emergence of universal behavior
- Friedel phase discontinuity and bound states in the continuum in quantum dot systems
- Transmission phase lapses in quantum dots: the role of dot-lead coupling asymmetry
- Non-universal transmission phase behaviour of a large quantum dot
- Coupled Landau-Zener-Stuckelberg Quantum Dot Interferometers
- Measurement of the Transmission Phase of an Electron in a Quantum Two-Path Interferometer
- Coherent Destruction of Coulomb Blockade Peaks in Molecular Junctions
- Level-occupation switching of the Quantum Dot, and phase anomalies in mesoscopic interferometry
- Effect of line defects on the electrical transport properties of monolayer MoS sheet
- Friedel Sum Rule for single channel quantum wire
- Phase lapses in scattering through multi-electron quantum dots: Mean-field and few-particle regimes
- Transmission zero in a quantum dot with strong electron-electron interaction: Perturbative conductance calculations
- Quantum criticality and non-Fermi-liquid behavior in a two-level two-lead quantum dot
- Mesoscopic behavior of the transmission phase through confined correlated electronic systems
- Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
- Analyzing the measured phase in the multichannel Aharonov-Bohm interferometer
- Negative partial density of states in mesoscopic systems
- Scattering phase shifts in quasi-one-dimension
- Spin-flip Effects in the Mesoscopic Spin-Interferometer
- Robust conductance zeroes in graphene quantum dots and other bipartite systems
- Conductance zeros in complex molecules and lattices from the interference set method
- Mesoscopic phase behavior in a quantum dot around crossover between single-level and multilevel transport regimes
- Injectance and a paradox
- Time-dependent wave packet simulations of transport through Aharanov-Bohm rings with an embedded quantum dot
- Transmission through a quantum dot molecule embedded in an Aharonov-Bohm interferometer
- Transmission phase lapses through a quantum dot in a strong magnetic field
- Transmission phase of a quantum dot and statistical fluctuations of partial-width amplitudes
- Embedding method for the scattering phase in strongly correlated quantum dots
- Correlation between peak-height modulation and phase-lapses in transport through quantum dots
- Importance of individual scattering matrix elements at Fano resonances