A measure of localization properties of one-dimensional single electron lattice systems

被引:9
作者
Gong, Longyan [1 ,2 ,3 ,4 ]
Li, Wenjia [1 ,2 ,3 ]
Zhao, Shengmei [3 ]
Cheng, Weiwen [3 ,4 ]
机构
[1] Nanjing Univ Posts & Telecommun, Informat Phys Res Ctr, Nanjing 210003, Jiangsu, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Dept Appl Phys, Nanjing 210003, Jiangsu, Peoples R China
[3] Nanjing Univ Posts & Telecommun, Inst Signal Proc & Transmiss, Nanjing 210003, Jiangsu, Peoples R China
[4] Nanjing Univ, Natl Lab Solid State Microstruct, Nanjing 210093, Jiangsu, Peoples R China
基金
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词
Anderson localization; The degree of localization; PERIODIC-WAVE FUNCTIONS; RANDOM DIMER SYSTEMS; ANDERSON LOCALIZATION; CORRELATED DISORDER; EXTENDED STATES; MOBILITY EDGE; MODEL; TRANSPORT; ENTROPY; ABSENCE;
D O I
10.1016/j.physleta.2015.09.036
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a novel quantity to measure the degree of localization properties of various types of one-dimension single electron states. The quantity includes information about the spatial variation of probability density of quantum states. Numerical results show that it can distinguish localized states from delocalized ones, so it can be used as a fruitful index to monitor the localization delocalization transition. Comparing with existing measures, such as geometric average density of states, inverse participation ratio, and quantum information entropies, our proposed quantity has some advantages over them. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:59 / 64
页数:6
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