title: Pseudorelativistic effects on solitons in quantum semiconductor plasma.
abstract: A theory for nonlinear excitations in quantum plasmas is presented for narrow-gap semiconductors by considering the combined effects of quantum and pseudorelativity. The system is governed by a coupled Klein-Gordon equation for the collective wave functions of the conduction electrons and Poisson's equation for the electrostatic potential. This gives a closed system, including the effects of charge separation, quantum tunneling, and pseudorelativity. By choosing the typical parameters of semiconductor InSb, the quasistationary soliton solution, which is a multipeaked dark soliton, is obtained numerically and shows depleted electron densities correlated with a localized potential. The dynamical simulation result shows that the dark soliton is stable and has a multipeaked profile, which is consistent with the quasistationary solution. The present model and results may be useful in understanding the nonlinear properties of semiconductor plasma on an ultrafast time scale.
authors.affiliation: Department of Physics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.
authors.forename: Yunliang
authors.initials: Y
authors.lastname: Wang
authors.affiliation: Department of Physics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.
authors.forename: Xiaodan
authors.initials: X
authors.lastname: Wang
authors.affiliation: Department of Physics, School of Science, Harbin Institute of Technology, Harbin 150001, China.
authors.forename: Xiangqian
authors.initials: X
authors.lastname: Jiang