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Updated: Jul 25, 2026

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
Published on: November 1, 2013
Periodic orbit effects on conductance peak heights in a chaotic quantum dot
1Department of Physics and Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA.
Short-time classical dynamics significantly impact Coulomb blockade peak heights in chaotic quantum dots. Lead placement relative to unstable orbits and symmetry lines alters conductance distribution moments and tails.
Area of Science:
- Quantum physics
- Mesoscopic physics
Background:
- Coulomb blockade describes the energy cost for adding an electron to a nanoscale conductor.
- Chaotic quantum dots exhibit complex electron dynamics.
Purpose of the Study:
- To investigate how short-time classical dynamics influence Coulomb blockade peak height distributions.
- To analyze the impact of lead placement on conductance distributions in chaotic quantum dots.
Main Methods:
- Analytical calculations based on the stability exponent of classical orbits.
- Numerical simulations using the stadium billiard model.
Main Results:
- Lead location relative to unstable orbits and symmetry lines strongly affects conductance distribution moments.
- The head and tail of the conductance distribution are sensitive to these geometric factors.
Conclusions:
- The observed behavior is robust and primarily depends on short-time quantum system dynamics.
- The findings are insensitive to moderate perturbations and interactions within the system.
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