Green's function technique for studying electron flow in two-dimensional mesoscopic samples
Abstract
With scanning probe experiments, it became possible to visualize electron flow in a two-dimensional electron gas. In this paper, a Green’s function technique for efficient simulation of such experiments is presented. Interpretation of the experiments is further facilitated by a calculation of the current distribution. Furthermore, an alternative imaging method is put forward for measuring the local chemical potential. As an application, electron flow through a quantum point contact is studied. All features seen in experiments are reproduced, and an interference effect is predicted resulting from the crossing of coherent beams of electron flow.
- Publication:
-
Physical Review B
- Pub Date:
- December 2005
- DOI:
- arXiv:
- arXiv:cond-mat/0411733
- Bibcode:
- 2005PhRvB..72w5304M
- Keywords:
-
- 73.23.-b;
- 73.63.-b;
- 73.43.Cd;
- Electronic transport in mesoscopic systems;
- Electronic transport in nanoscale materials and structures;
- Theory and modeling;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 11 pages, 8 figures, submitted to Phys. Rev. B, completely revised version, with additional results