The effects of interplay between spin-orbit coupling and Zeeman splitting on weak localization and universal conductance fluctuations in lateral semiconductor quantum dots are analyzed: All possible symmetry classes of corresponding random matrix theories are listed and crossovers between them achievable by sweeping magnetic field and changing the dot parameters are described. We also suggest experiments to measure the spin-orbit coupling constants.
We developed a complete theory of spin-orbit coupling effects in chaotic quantum dots and predicted intermediate symmetry classes in the crossover regime between the orthogonal and symplectic RMT ensembles, which have been later observed by Marcus at Harvard in lateral GaAs/AlGaAs devices. [92 citations.] RAE_import_type : Journal article RAE_uoa_type : Physics