chaotic dynamics statistical mechanics mesoscopic systems quantum hall effect
We study the motion of electrons in a single miniband of a semiconductor superlattice driven by THz electric field polarized along the growth direction. We work in the semiclassical balance-equation model, including different elastic and inelastic scattering rates, and incorporating the self-consistent electric field generated by electron motion. We explore regions of complex dynamics, which can include chaotic behaviour and symmetry-breaking. We estimate the magnitudes of dc current and dc voltage that spontaneously appear in regions of broken-symmetry for parameters characteristic of modern semiconductor superlattices. This work complements PRL 80(1998)2669 [ cond-mat/9709026 ].
This is a pre-print. It is also available at: http://arxiv.org/abs/cond-mat/0104144. The definitive version, Physica D, 113, pp.129-133, is available at: http://www.sciencedirect.com/science/journal/01672789.