Analysis of the angular distribution of electrons injected through a quantum point contact by use of a Green’s function with a weak-magnetic-field approximation

Autor:	Miyoshi Saito, Motomu Takatsu, Naoki Yokoyama, Makoto Okada
Rok vydání:	1992
Předmět:	Diffraction Physics symbols.namesake Condensed matter physics Quantum dot Green's function Quantum point contact symbols Probability density function Electron Atomic physics Fermi gas Magnetic field
Zdroj:	Physical Review B. 46:13220-13233
ISSN:	1095-3795 0163-1829
DOI:	10.1103/physrevb.46.13220
Popis:	Based on work by Molenkamp et al., we measured transfer efficiency through two quantum point contacts (QPC's) as a function of magnetic field applied perpendicularly to two-dimensional electron gas. We have reported that the results depend on the number of modes in the QPC. Previously, we had analyzed our results assuming classical mechanical trajectories of an electron. This time, to analyze our results, we studied the formulation of a Green's function using weak-magnetic-field approximation and constructed a mirror-image method in a weak magnetic field. Based on this, we calculated the position probability densities of an electron near the detector. The calculated probability densities agreed qualitatively with our results. Using quantum mechanics, we showed that our measured results equal the electron-wave diffraction pattern in a two-dimensional electron gas. We also showed that our experiments correspond to measurements of the angular distribution of electrons injected through a QPC.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1313bf582af9482c3887d2dfeb3754e0 https://doi.org/10.1103/physrevb.46.13220 Zobrazit plný text záznamu