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Related Experiment Video

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Implementation of a Reference Interferometer for Nanodetection
16:11

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Published on: April 26, 2014

Macroscopic resonant tunnelling through Andreev interferometers.

M C Goorden1, Ph Jacquod, J Weiss

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Nanotechnology
|July 29, 2009
PubMed
Summary
This summary is machine-generated.

We studied quantum dots connected to superconductors, finding that changing the phase difference significantly alters conductance. A phase difference of pi closes the excitation gap and enhances conductance significantly.

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Area of Science:

  • Condensed matter physics
  • Quantum phenomena

Background:

  • Ballistic chaotic quantum dots are crucial for understanding quantum transport.
  • Superconductors exhibit unique quantum mechanical properties, including phase coherence.

Purpose of the Study:

  • To investigate the electrical conductance and energy spectrum of quantum dots coupled to superconductors.
  • To analyze the impact of the phase difference between superconducting order parameters on quantum dot properties.

Main Methods:

  • Utilized a combination of analytical techniques: random matrix theory, Nazarov's circuit theory, and trajectory-based semiclassical theory.
  • Explored the quantum-to-classical crossover in detail.
  • Performed numerical simulations to corroborate theoretical predictions.

Main Results:

  • At zero phase difference (phi = 0), an excitation gap is observed, consistent with known results.
  • At a phase difference of pi (phi = pi), the excitation gap closes, and conductance is significantly altered.
  • Observed an order-of-magnitude enhancement in conductance towards the short-wavelength limit for specific conditions, linked to resonant tunneling.

Conclusions:

  • The phase difference between superconductors plays a critical role in determining quantum dot conductance and spectrum.
  • Resonant tunneling through numerous energy levels near the Fermi energy enhances conductance in specific regimes.
  • Theoretical predictions are validated by numerical simulations, confirming the model's accuracy.