[show abstract][hide abstract] ABSTRACT: We have developed and investigated a double-2DEG billiard to study the dependence of fractal conductance fluctuations on the soft-wall potential profile in semiconductor billiards. We use numerical modeling to establish how the profile differs between the billiards. We present preliminary results showing that the changes in profile modify the fractal dimension rather than suppress the fractal behavior, and that the fractal dimension depends inversely on the softness of the potential profile.
Physica E Low-dimensional Systems and Nanostructures 01/2002; 12:841-844. · 1.52 Impact Factor
[show abstract][hide abstract] ABSTRACT: We report quantum-mechanical calculations which replicate the self-similar magnetoconductance fluctuations observed in recent experiments on semiconductor Sinai billiards. We interpret these fluctuations by considering the mixed stable-chaotic classical dynamics of electrons in the billiard. In particular, we show that the fluctuation patterns are dominated by individual stable orbits. The scaling characteristics of the self-similar fluctuations depend on the geometry of the associated stable orbit. We find that our analysis is insensitive to the details of the potential landscape, and is applicable to real devices with a wide range of soft-wall profiles. We show that our analysis also provides a possible explanation for the distinct series of magnetoconductance fluctuations observed in recent experiments on carbon nanotubes.
Physica E Low-dimensional Systems and Nanostructures 01/2000; · 1.52 Impact Factor
[show abstract][hide abstract] ABSTRACT: We describe a gate-defined semiconductor billiard which undergoes an evolution from a square to Sinai geometry. We present experimental and theoretical investigations of clusters of magnetoconductance structure which emerge during the transition and originate from ‘quantum chaos’ processes.
Materials Science and Engineering: B. 01/1998; 51:212-215.