Magnetoconductance fluctuations and weak localization in quantum dots: Reliability of the semiclassical approach

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
T. Blomquist ◽  
I. V. Zozoulenko
1999 ◽  
Vol 60 (4) ◽  
pp. 2680-2690 ◽  
Author(s):  
R. Akis ◽  
D. K. Ferry ◽  
J. P. Bird ◽  
D. Vasileska

2000 ◽  
Vol 62 (16) ◽  
pp. 10896-10901 ◽  
Author(s):  
Subhasis Sinha ◽  
R. Shankar ◽  
M. V. N. Murthy

Author(s):  
Yan Fyodorov ◽  
Dmitry Savin

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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