Tohru Kawarabayashi

Anderson Transition in Three-Dimensional Disordered Systems with Symplectic Symmetry.

The Anderson transition in a 3D system with symplectic symmetry is investigated numerically. From a one-parameter scaling analysis the critical exponent

DIFFUSION OF ELECTRONS IN TWO-DIMENSIONAL DISORDERED SYMPLECTIC SYSTEMS

\nu

Topology dependent quantities at the anderson transition

of the localization length is extracted and estimated to be

Anomalous Diffusion at the Anderson Transitions

\nu = 1.3 \pm 0.2

Review of recent progress on numerical studies of the Anderson transition

. The level statistics at the critical point are also analyzed and shown to be scale independent. The form of the energy level spacing distribution

Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux

P(s)

Chiral symmetry and its manifestation in optical responses in graphene: interaction and multilayers

at the critical point is found to be different from that for the orthogonal ensemble suggesting that the breaking of spin rotation symmetry is relevant at the critical point.

Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder

Diffusion of electrons in two-dimensional disordered systems with spin-orbit interactions is investigated numerically. Asymptotic behaviors of the second moment of the wave packet and of the temporal auto-correlation function are examined. At the critical point, the auto-correlation function exhibits the power-law decay with a non-conventional exponent

Dephasing by Time-Dependent Random Potentials

\alpha

Super-Effective-Field Theory of Scalar Chiral Orders in the Two-Dimensional Heisenberg Model

which is related to the fractal structure in the energy spectrum and in the wave functions. In the metallic regime, the present results imply that transport properties can be described by the diffusion equation for normal metals.