Uncertainties of clock and shift operators for an electron in one-dimensional nonuniform lattice systems

• 来源期刊: 中国物理B（英文版）
• 关键词: uncertainties Anderson localization nonuniform lattice systems mobility edge
• 年，卷（期）: 2017,（11）
• 页码范围: 441-445
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/11/117201

摘要

The clock operator U and shift operator V are higher-dimensional Pauli operators.Just recently,tighter uncertainty relations with respect to U and V were derived,and we apply them to study the electron localization properties in several typical one-dimensional nonuniform lattice systems.We find that uncertainties ΔU2 are less than,equal to,and greater than uncertainties ΔV2 for extended,critical,and localized states,respectively.The lower bound LB of the uncertainty relation is relatively large for extended states and small for localized states.Therefore,in combination with traditional quantities,for instance inverse participation ratio,these quantities can be as novel indexes to reflect Anderson localization.