Universal Parametric Correlations of Conductance Peaks in Quantum Dots
arXiv:cond-mat/9604064 · doi:10.1103/PhysRevLett.76.1711
Abstract
We compute the parametric correlation function of the conductance peaks in chaotic and weakly disordered quantum dots in the Coulomb blockade regime and demonstrate its universality upon an appropriate scaling of the parameter. For a symmetric dot we show that this correlation function is affected by breaking time-reversal symmetry but is independent of the details of the channels in the external leads. We derive a new scaling which depends on the eigenfunctions alone and can be extracted directly from the conductance peak heights. Our results are in excellent agreement with model simulations of a disordered quantum dot.
12 pages, RevTex, 2 Postscript figures
References in corpus (2)
Cited by in corpus (24)
- Random-Matrix Theory of Quantum Transport
- Random Matrix Theories in Quantum Physics: Common Concepts
- The Statistical Theory of Quantum Dots
- Quantum Effects in Coulomb Blockade
- Quantum dot self consistent electronic structure and the Coulomb blockade
- Phase coherent transmission through interacting mesoscopic systems
- Mesoscopic charge quantization
- Mesoscopic Fluctuations of Elastic Cotunneling in Coulomb Blockaded Quantum Dots
- Mesoscopic Fluctuations of Elastic Cotunneling
- Random matrix model for quantum dots with interactions and the conductance peak spacing distribution
- Long-range correlations in the wave functions of chaotic systems
- Quantum Chaos in Open versus Closed Quantum Dots: Signatures of Interacting Particles
- Conductance Peak Distributions in Quantum Dots at Finite Temperature: Signatures of the Charging Energy
- Disordered mesoscopic systems with interactions: induced two-body ensembles and the Hartree-Fock approach
- Transmission through a n interacting quantum dot in the Coulomb blockade regime
- Universal Correlations of Coulomb Blockade Conductance Peaks and the Rotation Scaling in Quantum Dots
- Random matrix theory for closed quantum dots with weak spin-orbit coupling
- Parametric correlation of Coulomb blockade conductance peaks in chaotic quantum dots
- Interaction Matrix Element Fluctuations in Ballistic Quantum Dots: Random Wave Model
- Weak Localization in the Conductance Peaks of Coulomb Blockade Quantum Dots
- Universal Voltage Fluctuations in Disordered Superconductors
- Structure of Quantum Chaotic Wavefunctions: Ergodicity, Localization, and Transport
- Interaction Matrix Element Fluctuations in Ballistic Quantum Dots: Dynamical Effects
- Discrete charging of metallic grains: Statistics of addition spectra