Electrons in Low-Dimensional Mesoscopic Systems

2016 ◽  
pp. 15-35
Author(s):  
Christian V. Morfonios ◽  
Peter Schmelcher
Keyword(s):  
Mesoscopic Systems ◽  
Low Dimensional

Andreev Reflection and Related Studies in Low-Dimensional Superconducting Systems

2017 ◽  
Author(s):  
D. Daghero ◽  
G.A. Ummarino ◽  
R.S. Gonnelli
Keyword(s):  
Andreev Reflection ◽  
Energy Gap ◽  
Point Contact ◽  
Reflection Spectroscopy ◽  
Mesoscopic Systems ◽  
Length Scales ◽  
Normal Metals ◽  
Low Dimensional ◽  
2D Superconductors

This article investigates the potential of the point contact Andreev reflection spectroscopy (PCARS) technique for measuring the symmetry of the energy gap and other key parameters of various 0-, 1-, and 2-dimensional superconducting systems. It begins with a brief description of PCARS, explaining what a point contact is and how it can be made and the conditions under which a PC is ballistic, as well as why and to what extent a PC between normal metals is spectroscopic. It then discusses the basics of Andreev reflection and the length scales in mesoscopic systems before considering the limits of applicability of PCARS for spectroscopy of ‘small’ superconductors. Finally, it reviews some examples of PCARS in quasi-0D, quasi-1D and quasi-2D superconductors.

scholarly journals Review of Theory of Mesocopic Systems

2017 ◽  
Vol 18 (3) ◽  
pp. 282-287
Author(s):  
V.V. Fedotov
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Mesoscopic Systems ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Mesoscopic Level ◽  
Bohm Effect ◽  
Low Dimensional ◽  
Main Effects ◽  
Integral Quantum

In the framework of this work an overview of the theory of mesoscopic systems is made. The main effects of mesoscopic systems are noted. It is determined that the macroscopic characteristics of the system are significantly fluctuating within the mesoscopic level. The basic indicators of coherence of the quantum phase are determined and the mechanisms of influence are outlined. Six effects of mesoscopic systems are characterized with detailed justification. The theory of mesoscopic systems is based on the following mesoscopic effects: the Aaronov-Bohm effect; the effect of the integral quantum output; fractional quantum Hall effect; universal fluctuations of conduction; quantum conductivity quantum dot contact; DC currents in mesoscopic rings.Prospects for further developments in this area of research are based on a detailed study of mesoscopic effects based on the growing tendency for the production and research of materials containing the smallest structures and have low-dimensional features, which leads to the mesoscopic regime. 

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