Bound Electron States in Skew-symmetric Quantum Wire Intersections.

摘要

The lowest energy bound state has been analyzed for an electron trapped at the intersection of two identical narrow channels (quantum wires), crossed at an arbitrary angle with the cross-section area in the form of a square. When the channels are perpendicular, such a classically unbound electron system is known to possess a quantum bound (trapped) state. A new improved trial wave function is proposed and used to tackle the problem. The S-type wire intersection preserves the bound state even at angles close to zero degree. These results supplement a theory of quantum bound states in classically unbound systems and may be useful to interpret electron transport peculiarities in realistic systems such as semiconductor nanowire films and carbon nanotube bundles.