Breakdown of an electric-field driven system: a mapping to a quantum walk.
Quantum transport properties of electron systems driven by strong electric fields are studied by mapping the Landau-Zener transition dynamics to a quantum walk on a semi-infinite one-dimensional lattice with a reflecting boundary, where the sites correspond to energy levels and the boundary the ground state. Quantum interference induces a distribution localized around the ground state, and a delocalization transition occurs when the electric field is increased, which describes the dielectric breakdown in the original electron system.
Oka
Takashi
T
Department of Physics, University of Tokyo, Tokyo 113-0033, Japan.
Konno
Norio
N
Arita
Ryotaro
R
Aoki
Hideo
H