Wave Function Scarring Effects in Open Stadium Shaped Quantum Dots

Abstract

In agreement with experiment, our calculations show that the low field magnetoconductance of stadium shaped quantum dots can be periodic, indicating that only a few regular orbits dominate the quantum transport, even though the structure is classically chaotic. Evidence for these orbits is seen in scarred wave functions that recur periodically in correspondence to selected peaks in the power spectrum. Crucial in exciting these orbits is the quantization of modes in the quantum point contacts that cause the electrons to be injected in collimated beams at well defined angles.