Transport Properties of a Triangular Electron Billiard (<Special Issue> Quantum Dot Structures)

概要

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The transport properties of triangular electron billiards are investigated. By comparison of experimental data with simulations, maxima of the magnetoresistance are related to classical electron orbits. In order to qualitatively understand why specific electron trajectories give rise to commensurability effects, we analyse the stability of the trajectories using chaos theory. Numerical calculations of the Liapunov exponent of different trajectories show that relatively stable electron trajectories lead to commensurability effects, while more unstable trajectories are less important for the magnetoresistance. Further, we investigated the influence of the geometry of the electron billiard on the symmetry of electric conduction. We find that the triangular billiard has non-symmetric contributions to the conductance that are not present in mirror-symmetric billiards. The dependences on voltage, temperature and magnetic field indicate that this nonlinearity is associated with quantum-interference effects.
社団法人応用物理学会の論文
1997-06-30