中国物理B ›› 2006, Vol. 15 ›› Issue (1): 190-194.doi: 10.1088/1009-1963/15/1/030

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Direct current hopping conductance in one-dimensional diagonal disordered systems

马松山, 徐慧, 刘小良, 肖剑荣   

  1. Physics School of Science and Technology, Central South University,Changsha 410083, China
  • 收稿日期:2005-05-10 修回日期:2005-09-12 出版日期:2006-01-20 发布日期:2006-01-20
  • 基金资助:
    Project supported by the Doctoral Program Foundation of Institutions of Higher Education, China (Grant No 20020533001).

Direct current hopping conductance in one-dimensional diagonal disordered systems

Ma Song-Shan (马松山), Xu Hui (徐慧), Liu Xiao-Liang (刘小良), Xiao Jian-Rong (肖剑荣)   

  1. Physics School of Science and Technology, Central South University,Changsha 410083, China
  • Received:2005-05-10 Revised:2005-09-12 Online:2006-01-20 Published:2006-01-20
  • Supported by:
    Project supported by the Doctoral Program Foundation of Institutions of Higher Education, China (Grant No 20020533001).

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摘要： Based on a tight-binding disordered model describing a single electron band, we establish a direct current (dc) electronic hopping transport conductance model of one-dimensional diagonal disordered systems, and also derive a dc conductance formula. By calculating the dc conductivity, the relationships between electric field and conductivity and between temperature and conductivity are analysed, and the role played by the degree of disorder in electronic transport is studied. The results indicate the conductivity of systems decreasing with the increase of the degree of disorder, characteristics of negative differential dependence of resistance on temperature at low temperatures in diagonal disordered systems, and the conductivity of systems decreasing with the increase of electric field, featuring the non-Ohm's law conductivity.

Abstract: Based on a tight-binding disordered model describing a single electron band, we establish a direct current (dc) electronic hopping transport conductance model of one-dimensional diagonal disordered systems, and also derive a dc conductance formula. By calculating the dc conductivity, the relationships between electric field and conductivity and between temperature and conductivity are analysed, and the role played by the degree of disorder in electronic transport is studied. The results indicate the conductivity of systems decreasing with the increase of the degree of disorder, characteristics of negative differential dependence of resistance on temperature at low temperatures in diagonal disordered systems, and the conductivity of systems decreasing with the increase of electric field, featuring the non-Ohm's law conductivity.

Key words: direct current hopping conductivity, diagonal disorderedsystems, the degree of disorder

中图分类号:  (Electronic transport in nanoscale materials and structures)

  • 73.63.-b
71.15.Ap (Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.)) 72.20.Ee (Mobility edges; hopping transport) 72.20.Ht (High-field and nonlinear effects) 72.80.Ng (Disordered solids)