Thermal transport through non-ideal Andreev quantum dots. (12th June 2015)

• Record Type: Journal Article
• Authors: Vidal, Pedro
• Is Part Of: Journal of physics. Volume 48:Number 26(2015)
• Publication Date: 2015-06-12
• Subjects: random matrix -- quantum dots -- symmetric functions; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/26/265206
• Languages: English
• ISSNs: 1751-8113

Abstract

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.