Area Distribution and Quantum Interference Effect in Antidot Lattices

Abstract

The quantum interference effect in ballistic antidot lattices under a very weak magnetic field is investigated. The area distribution of coherent backscattering orbits obeys the many-peaked structure with each peak located at multiples of the unit-cell area, and can be explained in terms of the length distribution. Using the area distribution in a semiclassical description of Kubo formula, we derive expressions for both h/2e oscillation and negative magneto-resistivity caused by the interference between a time-reversal pair of coherent backscattering orbits. The flux dependence of the oscillation part in the quantum correction, which qualitatively differs from the one for a single Sinai billiard, is responsible for trapping and jumping motions in the underlying classical dynamics.