Quantum Chaos in Open versus Closed Quantum Dots: Signatures of Interacting Particles
arXiv:cond-mat/9703038 · doi:10.1016/S0960-0779(97)00019-2
Abstract
This paper reviews recent studies of mesoscopic fluctuations in transport through ballistic quantum dots, emphasizing differences between conduction through open dots and tunneling through nearly isolated dots. Both the open dots and the tunnel-contacted dots show random, repeatable conductance fluctuations with universal statistical proper-ties that are accurately characterized by a variety of theoretical models including random matrix theory, semiclassical methods and nonlinear sigma model calculations. We apply these results in open dots to extract the dephasing rate of electrons within the dot. In the tunneling regime, electron interaction dominates transport since the tunneling of a single electron onto a small dot may be sufficiently energetically costly (due to the small capacitance) that conduction is suppressed altogether. How interactions combine with quantum interference are best seen in this regime.
15 pages, 11 figures, PDF 2.1 format, to appear in "Chaos, Solitons & Fractals"
References in corpus (16)
- Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
- Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
- Coulomb blockade at almost perfect transmission
- Universal Quantum Signatures of Chaos in Ballistic Transport
- Fractal Conductance Fluctuations in Generic Chaotic Cavities
- Divergence of the Classical trajectories and Weak Localization
- How Phase-Breaking Affects Quantum Transport Through Chaotic Cavities
- Inelastic Electron Lifetime in Disordered Mesoscopic Systems
- Fractal Conductance Fluctuations in Gold--Nanowires
- Quantum chaos in a deformable billiard: Applications to quantum dots
- Effect of a Voltage Probe on the Phase-Coherent Conductance of a Ballistic Chaotic Cavity
- Parametric Conductance Correlation for Irregularly Shaped Quantum Dots
- Mesoscopic Fluctuations of Elastic Cotunneling
- Universal Parametric Correlations of Conductance Peaks in Quantum Dots
- Statistical Properties of Level Widths and Conductance Peaks in a Quantum Dot
- Universal Correlations of Coulomb Blockade Conductance Peaks and the Rotation Scaling in Quantum Dots
Cited by in corpus (17)
- Random Matrix Theories in Quantum Physics: Common Concepts
- The Statistical Theory of Quantum Dots
- Light fields in complex media: mesoscopic scattering meets wave control
- An Adiabatic Quantum Electron Pump
- Shot noise in semiclassical chaotic cavities
- Asymmetry of Nonlinear Transport and Electron Interactions in Quantum Dots
- Suppression of weak-localization (and enhancement of noise) by tunnelling in semiclassical chaotic transport
- Symmetry causes a huge conductance peak in double quantum dots
- Scar and Antiscar Quantum Effects in Open Chaotic Systems
- Anti-correlation for Conductance Fluctuations in Chaotic Quantum Dots
- Magnetic-field dependence of energy levels in ultrasmall metal grains
- Interaction Induced Restoration of Phase Coherence
- Transmission through a n interacting quantum dot in the Coulomb blockade regime
- Influence of the nature of confinement on the melting of Wigner molecules in quantum dots
- Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots
- Spatio-temporal correlations in Wigner molecules
- Weak localization in disordered systems at the ballistic limit