抄録
We demonstrate our latest results on quantum transport in curved nanostructures. From a theoretical perspective, electrons whose motions are constrained to a thin curved layer (or thin twisted wire) experience an effective potential field that stems from geometric curvature (or torsion). This suggests a significant deviation of transport properties from planar systems, whereas quantifications of the effects in real nanomaterials are remained to be explored. Among many interesting geometry, we devote our attention to: i) deformed nanocylinders, ii) corrugated nanolayers, and iii) twisted quantum rings, to unveil a curvature-induced shift in the Tomonaga-Luttinger exponent, a corrugation-induced resistivity enhancement, and a torsion-induced quantum phase shift. All of these phenomena are attributed to the effective potential fields arising from geometric curvature and torsion inherent to the systems.
