Intrinsic Localization of Bloch Electrons in dc-ac Electric Fields
LIU Wu-ming1, ZHAO Xian-geng2, LIU Ke3
1Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
2Institute of Applied Physics and Computational Mathematics, Beijing 100088
3Institute of Acoustics, Chinese Academy of Sciences, Beijing 100080
Intrinsic Localization of Bloch Electrons in dc-ac Electric Fields
LIU Wu-ming1;ZHAO Xian-geng2;LIU Ke3
1Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
2Institute of Applied Physics and Computational Mathematics, Beijing 100088
3Institute of Acoustics, Chinese Academy of Sciences, Beijing 100080
Abstract： Exact soliton solutions describing nonlinear dynamical behavior of Bloch electrons under action of dc-ac electric fields are obtained, from which it is found that the evolution behavior of Bloch electrons is always oscillatory in time, with oscillatory frequencies depending on electric fields. A number of phenomena associated with the translational symmetry of the system, the staggered localized states, as well as the relationship between intrinsic localized states and solitons are addressed. The corresponding energy, momentum, and norm are also studied.
LIU Wu-ming;ZHAO Xian-geng;LIU Ke. Intrinsic Localization of Bloch Electrons in dc-ac Electric Fields[J]. 中国物理快报, 1997, 14(12): 924-927.
LIU Wu-ming, ZHAO Xian-geng, LIU Ke. Intrinsic Localization of Bloch Electrons in dc-ac Electric Fields. Chin. Phys. Lett., 1997, 14(12): 924-927.
1997, Vol. 14 
