Correlation between peak-height modulation and phase-lapses in transport through quantum dots
arXiv:1709.09168 · doi:10.1103/PhysRevE.96.062208
Abstract
We show that two intriguing features of mesoscopic transport, namely the modulation of Coulomb blockade peak-heights and the transmission phase-lapses occurring between subsequent peaks, are closely related. Our analytic arguments are corroborated by numerical simulations for chaotic ballistic quantum dots. The correlations between the two properties are experimentally testable. The statistical distribution of the partial-width amplitude, at the heart of the previous relationship, is determined, and its characteristic parameters are estimated from simple models.
arXiv comment12 pages, 8 figures; published version
References in corpus (34)
- Spins in few-electron quantum dots
- Statistics of energy levels and eigenfunctions in disordered systems
- The Statistical Theory of Quantum Dots
- Aharonov-Bohm oscillations in a mesoscopic ring with a quantum dot
- Generic transmission zeros and in-phase resonances in time-reversal symmetric single channel transport
- Crossover from mesoscopic to universal phase for electron transmission in quantum dots
- Phase coherent transmission through interacting mesoscopic systems
- Friedel phases and phases of transmission amplitudes in quantum scattering systems
- Towards an Explanation of the Mesoscopic Double-Slit Experiment: a new model for charging of a Quantum Dot
- Scattering phases in quantum dots: an analysis based on lattice models
- On the rate of quantum ergodicity in Euclidean billiards
- Correlations in Chaotic Eigenfunctions at Large Separation
- Deformation of Quantum Dots in the Coulomb Blockade Regime
- Theory of scanning gate microscopy
- Nodal portraits of quantum billiards: Domains, lines, and statistics
- An Approximate Sign Sum Rule for the Transmission Amplitude Through a Quantum Dot
- Autocorrelation function of eigenstates in chaotic and mixed systems
- Semiclassical Construction of Random Wave Functions for Confined Systems
- Gaussian Fluctuations in Chaotic Eigenstates
- Wave function correlations on the ballistic scale: Exploring quantum chaos by quantum disorder
- Traceable Coulomb Blockade Thermometry
- Semiclassical Theory of Coulomb Blockade Peak Heights in Chaotic Quantum Dots
- Scattering phase of quantum dots: Emergence of universal behavior
- Non-universal transmission phase behaviour of a large quantum dot
- Measurement of the Transmission Phase of an Electron in a Quantum Two-Path Interferometer
- Mesoscopic transport and quantum chaos
- Coulomb blockade conductance peak fluctuations in quantum dots and the independent particle model
- Berry's conjecture and information theory
- Semiclassical spatial correlations in chaotic wave functions
- The Statistics of the Points Where Nodal Lines Intersect a Reference Curve
- Mesoscopic behavior of the transmission phase through confined correlated electronic systems
- Mesoscopic phase behavior in a quantum dot around crossover between single-level and multilevel transport regimes
- Negativity witness for the quantum ergodic conjecture
- Transmission phase of a quantum dot and statistical fluctuations of partial-width amplitudes