Quantum transport in square and triangular antidot arrays with various periods

Abstract

Quantum effects on electron transport in square and triangular antidot arrays are studied in a self-consistent Born approximation based on full-quantum-mechanical energy bands. When the array period is large and the Fermi wavelength is comparable to the antidot diameter, a quantum effect increases the effective antidot diameter and shifts some commensurability peaks toward magnetic fields different from classical ones. When the array period is small, the Hall conductivity is reduced due to the appearance of magnetic minibands giving a quantized value opposite to that of the usual Landau levels and the commensurability peak is significantly enhanced. The Aharonov-Bohm--type oscillation superimposed on the commensurability peak changes its feature with the decrease of the period.