1999/10/08 by David E. Grant, Andrew R. Long, John H. Davies +1 · 3 citations
Mathematics · Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Commensurability (mathematics) #Condensed matter physics #Cyclotron #Geometry #Magnetic field #Mathematics #Perturbation (astronomy) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Superlattice #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.61.13127
3 pages text, 4 eps figures, revtex
arxiv created 1999/10/08 · openalex publication_date 2000/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have simulated conduction in a two-dimensional electron gas subject to a weak two-dimensional periodic potential Vxcos(2\ensuremathπx/a)+Vycos(2\ensuremathπy/a). The usual commensurability oscillations in \ensuremathρxx(B) are seen with Vx alone. An increase of Vy suppresses these oscillations, rather than introducing the additional oscillations in \ensuremathρyy(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.