Thermal transport through non-ideal Andreev quantum dots

Author: Vidal Pedro  

Publisher: IOP Publishing

E-ISSN: 1751-8121|48|26|265206-265229

ISSN: 1751-8121

Source: Journal of Physics A: Mathematical and Theoretical, Vol.48, Iss.26, 2015-07, pp. : 265206-265229

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Abstract

We consider the scenario of thermal transport through two types of Andreev quantum dots which are coupled to two leads, belonging to the Class D and Class C symmetry classes. Using the random matrix description we derive the joint probability density function (JPDF) in terms of hypergeometric function of matrix arguments when we consider one lead to be attached ideally and one lead non ideally. For the Class C ensemble we derive a more explicit representation of the JPDF which results in a new type of random matrix model.