Direkt zum Inhalt

Engl, Thomas ; Kuipers, Jack ; Richter, Klaus

Conductance and Thermopower of Ballistic Andreev Cavities

Article

Engl, Thomas , Kuipers, Jack and Richter, Klaus (2011) Conductance and Thermopower of Ballistic Andreev Cavities. Physical Review B (PRB) 83 (20), pp. 205414-205434.

DOI to cite this document: 10.5283/epub.18858


Abstract

When coupling a superconductor to a normal conducting region the physical properties of the system are highly affected by the superconductor. We investigate the effect of one or two superconductors on the conductance of a ballistic chaotic quantum dot to leading order in the total channel number using trajectory-based semiclassics. The results show that the effect of one superconductor on the ...

When coupling a superconductor to a normal conducting region the physical properties of the system are highly affected by the superconductor. We investigate the effect of one or two superconductors on the conductance of a ballistic chaotic quantum dot to leading order in the total channel number using trajectory-based semiclassics. The results show that the effect of one superconductor on the conductance is of the order of the number of channels and that the sign of the quantum correction from the Drude conductance depends on the particular ratios of the numbers of channels of the superconducting and normal conducting leads. In the case of two superconductors with the same chemical potential, we additionally study how the conductance and the sign of quantum corrections are affected by their phase difference. As far as random matrix theory results exist these are reproduced by our calculations. Furthermore, in the case that the chemical potential of the superconductors is the same as that of one of the two normal leads the conductance shows, under certain conditions, similar effects as a normal metal-superconductor junction. The semiclassical framework is also able to treat the thermopower of chaotic Andreev billiards consisting of one chaotic dot, two normal leads, and two superconducting islands and shows it to be antisymmetric in the phase difference of the superconductors.



Involved Institutions


Details

Item typeArticle
Journal or Publication TitlePhysical Review B (PRB)
PublisherAMER PHYSICAL SOC
Open Access TypeDue to SHERPA/RoMEO
Place of PublicationCOLLEGE PK
Volume83
Number of Issue or Book Chapter20
Page Rangepp. 205414-205434
Date19 May 2011
Date of publication22 Dec 2010 06:39
InstitutionsPhysics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Interdisciplinary Subject NetworkNot selected
Identification Number
ValueType
10.1103/PhysRevB.83.205414DOI
1012.3385arXiv ID
Classification
NotationType
73.23.AdPACS
72.20.PaPACS
05.45.MtPACS
KeywordsMESOSCOPIC PROXIMITY SUPERCONDUCTOR; QUASI-PARTICLE; IRREVERSIBLE-PROCESSES; RECIPROCAL RELATIONS; TRANSPORT; INTERFEROMETER; FLUCTUATIONS; REFLECTION; BILLIARDS; CONTACTS;
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-188584
Item ID18858

Export bibliographical data

Owner only: item control page

nach oben