Weak localization in ballistic quantum dots

1999 ◽  
Vol 60 (4) ◽  
pp. 2680-2690 ◽  
Author(s):  
R. Akis ◽  
D. K. Ferry ◽  
J. P. Bird ◽  
D. Vasileska
Keyword(s):  
Quantum Dots ◽  
Weak Localization

Condensed matter physics

2018 ◽  
Author(s):  
Yan Fyodorov ◽  
Dmitry Savin
Keyword(s):  
Quantum Dots ◽  
Shot Noise ◽  
Matrix Theory ◽  
Quantum Wires ◽  
Condensed Matter ◽  
Weak Localization ◽  
Scattering Matrix ◽  
Condensed Matter Physics ◽  
Conductance Fluctuations ◽  
Non Gaussian

This article discusses some applications of concepts from random matrix theory (RMT) to condensed matter physics, with emphasis on phenomena, predicted or explained by RMT, that have actually been observed in experiments on quantum wires and quantum dots. These observations range from universal conductance fluctuations (UCF) to weak localization, non-Gaussian thermopower distributions, and sub-Poissonian shot noise. The article first considers the UCF phenomenon, nonlogarithmic eigenvalue repulsion, and sub-Poissonian shot noise in quantum wires before analysing level and wave function statistics, scattering matrix ensembles, conductance distribution, and thermopower distribution in quantum dots. It also examines the effects (not yet observed) of superconductors on the statistics of the Hamiltonian and scattering matrix.

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