New method for a scaling theory of localization

作者: P. W. Anderson , D. J. Thouless , E. Abrahams , D. S. Fisher

DOI: 10.1103/PHYSREVB.22.3519

关键词: Mathematical physicsPhysicsChain (algebraic topology)Scale invarianceScatteringDimensionless quantityBase (group theory)Probability distributionVariable (mathematics)Scaling

摘要: We base a scaling theory of localization on an expression for conductivity of a system of random elastic scatterers in terms of its scattering properties at a fixed energy. This expression, …

参考文章(14)
E. Abrahams, P. W. Anderson, D. C. Licciardello, T. V. Ramakrishnan, Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions Physical Review Letters. ,vol. 42, pp. 673- 676 ,(1979) , 10.1103/PHYSREVLETT.42.673
Franz Wegner, The mobility edge problem: Continuous symmetry and a conjecture European Physical Journal B. ,vol. 35, pp. 207- 210 ,(1979) , 10.1007/BF01319839
Patrick A. Lee, Real-Space Scaling Studies of Localization Physical Review Letters. ,vol. 42, pp. 1492- 1494 ,(1979) , 10.1103/PHYSREVLETT.42.1492
D. J. Thouless, Maximum metallic resistance in thin wires Physical Review Letters. ,vol. 39, pp. 1167- 1169 ,(1977) , 10.1103/PHYSREVLETT.39.1167
N.F. Mott, W.D. Twose, The theory of impurity conduction Advances in Physics. ,vol. 10, pp. 107- 163 ,(1961) , 10.1080/00018736100101271
R E Borland, Existence of Energy Gaps in One-Dimensional Liquids Proceedings of the Physical Society. ,vol. 78, pp. 926- 931 ,(1961) , 10.1088/0370-1328/78/5/339
The Nature of the Electronic States in Disordered One-Dimensional Systems Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 274, pp. 529- 545 ,(1963) , 10.1098/RSPA.1963.0148
G. Czycholl, B. Kramer, Nonvanishing zero temperature static conductivity in one dimensional disordered systems Solid State Communications. ,vol. 32, pp. 945- 951 ,(1979) , 10.1016/0038-1098(79)90803-2
G. J. Dolan, D. D. Osheroff, Nonmetallic Conduction in Thin Metal Films at Low Temperatures Physical Review Letters. ,vol. 43, pp. 721- 724 ,(1979) , 10.1103/PHYSREVLETT.43.721
D. J. Bishop, D. C. Tsui, R. C. Dynes, Nonmetallic Conduction in Electron Inversion Layers at Low Temperatures Physical Review Letters. ,vol. 44, pp. 1153- 1156 ,(1980) , 10.1103/PHYSREVLETT.44.1153