3 papers
math.AP2011
Radiative Transport Equation for Bloch Electrons in Electromagnetic Fields
Manabu Machida
The radiative transport equation for the Schrödinger equation in a periodic potential with a weak random potential in electromagnetic fields is derived using asymptotic expansion.
cond-mat.mes-hall2007
Transient Oscillation of Currents in Quantum Hall Effect of Bloch Electrons
Manabu Machida, Jun Goryo, Naomichi Hatano
We consider the quantum Hall effect of two-dimensional electrons with a periodic potential and study the time dependence of the Hall and longitudinal currents when the electric fie…
nlin.CD2005
Distribution of the spacing between two adjacent avoided crossings
Manabu Machida, Keiji Saito
We consider the frequency at which avoided crossings appear in an energy level structure when an external field is applied to a quantum chaotic system. The distribution of the spac…