Transport through open quantum dots: making semiclassics quantitative
arXiv:0910.5926 · doi:10.1103/PhysRevB.81.125308
Abstract
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 and magnetic field dependent elements of the scattering matrix. Two key ingredients are essential: (i) inclusion of pseudo-paths 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 pseudo-path semiclassical approximation (PSCA), typical shortcomings of semiclassical theories such as violation of the anti-correlation 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.
20 pages, 19 figures
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Cited by in corpus (6)
- Semiclassical approach to universality in quantum chaotic transport
- Semiclassical wavefunctions for open quantum billiards
- Classical origin of conductance oscillations in an integrable cavity
- Weak disorder corrections of the scattering and transport mean free path
- Combinatorial problems in the semiclassical approach to quantum chaotic transport
- Resonance spectra for quantum maps of kicked scattering systems by complex scaling