Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-09-05
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
submitted to PRB
Scientific paper
10.1103/PhysRevB.57.1707
On the basis of Boltzmann's equation, and including anisotropic scattering in the collision operator, we investigate the effect of one-dimensional superlattices on two-dimensional electron systems. In addition to superlattices defined by static electric and magnetic fields, we consider mobility superlattices describing a spatially modulated density of scattering centers. We prove that magnetic and electric superlattices in $x$-direction affect only the resistivity component $\rho_{xx}$ if the mobility is homogeneous, whereas a mobility lattice in $x$-direction in the absence of electric and magnetic modulations affects only $\rho_{yy}$. Solving Boltzmann's equation numerically, we calculate the positive magnetoresistance in weak magnetic fields and the Weiss oscillations in stronger fields within a unified approach.
Gerhardts Rolf R.
Menne Rolf
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