Parametric Conductance Correlation for Irregularly Shaped Quantum Dots
arXiv:cond-mat/9510118 · doi:10.1103/PhysRevB.53.9968
Abstract
We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width contains interesting information about the underlying electron dynamics. Analytical results are derived in the framework of random matrix theory in the regime of broken time-reversal symmetry. The final expression, upon rescaling, becomes independent of the details of the system. For the situation when the external parameter is a variable magnetic field, the system-dependent, nonuniversal field scaling factor is obtained by a semiclassical approach. The validity of our findings is confirmed by a comparison with results of an exact numerical diagonalization of the conformal billiard threaded by a magnetic flux line.
Minor corrections added to the text and references (36 pages RevTeX 3, epsf, 10 figures
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- A Uniform Approximation for the Fidelity in Chaotic Systems
- Global versus local billiard level dynamics: The limits of universality
- Mesoscopic Fluctuations of Elastic Cotunneling in Coulomb Blockaded Quantum Dots
- Universality in quantum parametric correlations
- Quantum Chaos in Open versus Closed Quantum Dots: Signatures of Interacting Particles
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- Quantum time-delay in chaotic scattering: a semiclassical approach
- Departure of some parameter-dependent spectral statistics of irregular quantum graphs from Random Matrix Theory predictions
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- Parametric correlation of Coulomb blockade conductance peaks in chaotic quantum dots
- Electron interactions, classical integrability, and level statistics in quantum dots
- Universal Voltage Fluctuations in Disordered Superconductors
- Conductance Peak Height Correlations for a Coulomb-Blockaded Quantum Dot in a Weak Magnetic Field
- Correlations and fluctuations of a confined electron gas