Localization in two- and three-dimensional systems away from the band center
作者： A. D. Zdetsis , C. M. Soukoulis , E. N. Economou , Gary S. Grest
关键词: Electronic structure 、 Diagonal 、 Zero (complex analysis) 、 Center (group theory) 、 Scaling law 、 Quantum mechanics 、 Order (group theory) 、 Edge (geometry) 、 Physics
摘要: Extensive numerical results using finite-size-scaling methods for two-dimensional (2D) and three-dimensional (3D) disordered systems are presented eigenenergies E different from zero. Single-parameter scaling law is satisfied all of our in both 2D 3D systems. In we find only localized states, however, the localization length does not have its maximum at band center. 3D, dependence mobility edge on strength diagonal order obtained. These found to be satisfactory agreement with predictions coherent-potential approximation potential-well analogy.
harvard.edu
sci-hub.se 参考文章(23)
E. N. Economou, C. M. Soukoulis, Connection of localization with the problem of the bound state in a potential well Physical Review B. ,vol. 28, pp. 1093- 1094 ,(1983) , 10.1103/PHYSREVB.28.1093
E. N. Economou, C. M. Soukoulis, A. D. Zdetsis, Localized states in disordered systems as bound states in potential wells Physical Review B. ,vol. 30, pp. 1686- 1694 ,(1984) , 10.1103/PHYSREVB.30.1686
Dieter Vollhardt, P Wölfle, None, Scaling Equations from a Self-Consistent Theory of Anderson Localization Physical Review Letters. ,vol. 48, pp. 699- 702 ,(1982) , 10.1103/PHYSREVLETT.48.699
Dieter Vollhardt, Peter Wölfle, Diagrammatic, self-consistent treatment of the Anderson localization problem ind≤2dimensions Physical Review B. ,vol. 22, pp. 4666- 4679 ,(1980) , 10.1103/PHYSREVB.22.4666
J L Pichard, G Sarma, Finite size scaling approach to Anderson localisation Journal of Physics C: Solid State Physics. ,vol. 14, ,(1981) , 10.1088/0022-3719/14/6/003
J L Pichard, G Sarma, Finite-size scaling approach to Anderson localisation. II. Quantitative analysis and new results Journal of Physics C: Solid State Physics. ,vol. 14, ,(1981) , 10.1088/0022-3719/14/21/004
A. MacKinnon, B. Kramer, The scaling theory of electrons in disordered solids: Additional numerical results Zeitschrift für Physik B Condensed Matter. ,vol. 53, pp. 1- 13 ,(1983) , 10.1007/BF01578242
A. MacKinnon, B. Kramer, One-Parameter Scaling of Localization Length and Conductance in Disordered Systems Physical Review Letters. ,vol. 47, pp. 1546- 1549 ,(1981) , 10.1103/PHYSREVLETT.47.1546
A. MacKinnon, B. Kramer, MacKinnon and Kramer Respond Physical Review Letters. ,vol. 49, pp. 695- 695 ,(1982) , 10.1103/PHYSREVLETT.49.695
C. M. Soukoulis, I. Webman, G. S. Grest, E. N. Economou, Study of electronic states with off-diagonal disorder in two dimensions Physical Review B. ,vol. 26, pp. 1838- 1841 ,(1982) , 10.1103/PHYSREVB.26.1838