Magnetoresistance of Lateral Hyperlattice: Independent
Control
of Spacing and Phase of Commensurability Oscillation

抄録

Unidirectional lateral lattice of a unit which in itself consists of small number of lateral-superlattice units has been fabricated from two-dimensional electron gas (2DEG) and its magnetoresistance has been measured. It shows commensurability oscillation similar to that of ordinary lateral superlattice (LSL), but with much altered amplitude distribution; the amplitude vanishes at some index n, then increases and decreases with n, in marked contrast to monotonic decrease for ordinary LSL. The amplitude distribution is well explained by the relative abundance of semi-classical trajectories responsible for the corresponding oscillation. The spacing between peaks or dips is determined by the lattice period within a unit, as is the case with commensurability oscillation of ordinary LSL. The phase, on the other hand, is shown to be controlled by the distance between adjacent units, allowing independent manipulation of the spacing and the phase of the magnetoresistance oscillation.