A novel single-electron soliton is shown to appear in a narrow semiconductor wire near a conductor plate. The image force, which confines the electron, and the positive dispersion of the electron wave, compete with each other to stabilize the soliton. A variational calculation, based on the nonlinear non-local Schrödinger equation, reveals that the size and binding energy of the soliton are determined geometrically by the effective distance between the real electron and its image charge. This simple guideline provides novel controllability to single electrons, and opens a door to future single electronics. The electron, as a soliton, will again show a "particle" aspect, rather than a "wave" aspect.
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
- Electrical and Electronic Engineering