[en] We investigate electron transport through clean open quantum dots (quantum billiards). We present a semiclassical theory that allows to accurately reproduce quantum-transport calculations. Quantitative agreement is reached for individual energy-dependent and magnetic field dependent elements of the scattering matrix. Two key ingredients are essential: (i) inclusion of pseudopaths which have the topology of linked classical paths resulting from diffraction in addition to classical paths and (ii) a high-level approximation to diffractive scattering. Within this framework of the pseudopath semiclassical approximation (PSCA), typical shortcomings of semiclassical theories such as violation of the anticorrelation between reflection and transmission and the overestimation of conductance fluctuations are overcome. Beyond its predictive capabilities the PSCA provides deeper insights into the quantum-to-classical crossover.
Disciplines :
Physics
Author, co-author :
Brezinova, Iva; Vienna University of Technology > Institute for Theoretical Physics
Wirtz, Ludger ; CNRS-UMR 8520 > Institute for Electronics, Microelectronics, and Nanotechnology (IEMN)
Rotter, Stefan; Vienna University of Technology > Institute for Theoretical Physics
Stampfer, Christoph; RWTH Aachen > JARA-FIT and II. Institute of Physics
Burgdörfer, Joachim; Vienna University of Technology > Institute for Theoretical Physics
Language :
English
Title :
Transport through open quantum dots: Making semiclassics quantitative
Publication date :
2010
Journal title :
Physical Review. B, Condensed Matter and Materials Physics