The electron transport in nanostructured Schottky barrier diodes - used as low noise THz mixers up to 5 THz – is ballistic. Best signal-to-noise performance is achieved when the phase coherent electron movement is characterized by an optimum barrier depletion thickness D_depl which has the thickness of twice the doping distance D_depl = 2x. Detailed investigations on different Schottky diodes show a linear relation between (2x)² and the mobility µ of the device: (2x)² = h/2e • µ. Since the mobility µ is proportional to (energy)^-1 and because of many similarities compared to high temperature superconductors (HTSC) it has been investigated if the doping distance in HTSCs is connected with (kT_c)^-1. By analysing published data of very well studied HTSCs we found out that P-type as well as N-type HTSCs with single (n = 1) and multilayered superconducting CuO₂ layers and even recently discovered iron-arsen based HTSCs show a linear correlation between the doping distance x and the critical transition temperature T_c. It turns out that the correlation equation (2x)² • n^-2/3 • 2M_eff • πkT_c = h² can be derived theoretically from the density of states in a one-dimensional quantum wire. This suggests that the superconducting CuO₂ plane consists of superconducting quantum wires. The correlation equation has the prospect to calculate the transition temperature for HTSCs for the first time. The paper will describe the electron transport phenomena in nanostructured Schottky diodes in the THz range and the detailed investigation of the different HTSC families.

• Legal notice:
  

  Copyright (c) Pielaszek Research, all rights reserved.
  The above materials, including auxiliary resources, are subject to Publisher's copyright and the Author(s) intellectual rights. Without limiting Author(s) rights under respective Copyright Transfer Agreement, no part of the above documents may be reproduced without the express written permission of Pielaszek Research, the Publisher. Express permission from the Author(s) is required to use the above materials for academic purposes, such as lectures or scientific presentations.
  In every case, proper references including Author(s) name(s) and URL of this webpage: https://science24.com/paper/18349 must be provided.