Commensurability oscillations due to pinned and drifting orbits in a two-dimensional lateral surface superlattice

Grant, D.E., Long, A.R. and Davies, J.H. (2000) Commensurability oscillations due to pinned and drifting orbits in a two-dimensional lateral surface superlattice. Physical Review B, 61(19), 13127 -13130. (doi: 10.1103/PhysRevB.61.13127)

Abstract

We have simulated conduction in a two-dimensional electron gas subject to a weak two-dimensional periodic potential V/sub x/ cos(2 pi x/a)+V/sub y/ cos(2 pi y/a). The usual commensurability oscillations in rho /sub xx/(B) are seen with V/sub x/ alone. An increase of V/sub y/ suppresses these oscillations, rather than introducing the additional oscillations in rho /sub yy/(B) expected from previous perturbation theories. We show that this behavior arises from drift of the guiding center of cyclotron motion along contours of an effective potential. Periodic modulation in the magnetic field can be treated in the same way.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Long, Professor Andrew
• Authors: Grant, D.E., Long, A.R., and Davies, J.H.
• Subjects: Q Science > QC Physics
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review B
• Publisher: American Physical Society
• ISSN: 1098-0121
• ISSN (Online): 1550-235X