Localization: theory and experiment

The transport properties of disordered solids have been the subject of much work since at least the 1950s, but with a new burst of activity during the 1980s which has survived up to the present day. There have been numerous reviews of a more or less specialized nature. The present review aims to fill the niche for a non-specialized review of this very active area of research. The basic concepts behind the theory are introduced with more detailed sections covering experimental results, one-dimensional localization, scaling theory, weak localization, magnetic field effects and fluctuations.

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[81]  B. Altshuler,et al.  Applicability of scaling description to the distribution of mesoscopic fluctuations , 1989 .

[82]  Carl,et al.  Magnetoresistance in thin palladium-carbon mixture films. , 1989, Physical review. B, Condensed matter.

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[89]  Pruisken,et al.  Universal singularities in the integral quantum Hall effect. , 1988, Physical review letters.

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[100]  Richard A. Webb,et al.  Electronic transport in small strongly localized structures , 1988 .

[101]  Mello.  Macroscopic approach to universal conductance fluctuations in disordered metals. , 1988, Physical review letters.

[102]  P. A. Mello,et al.  Macroscopic approach to multichannel disordered conductors , 1988 .

[103]  Weak Localization and the Integer Quantum Hall Effect , 1988 .

[104]  J. Pendry,et al.  Electron localisation in 1D-the general case , 1988 .

[105]  Localization in two-dimensional square lattices: Effects of magnetic field and spin-orbit interaction , 1988 .

[106]  Localisation in the quantum hall regime , 1988 .

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[114]  P. Carra.  Anderson localisation in a strong magnetic field: self-consistent theory in high Landau levels , 1987 .

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[118]  Hideo Aoki,et al.  Quantised Hall effect , 1987 .

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[129]  Fisher,et al.  Finite-size scaling and correlation lengths for disordered systems. , 1986, Physical review letters.

[130]  Pendry,et al.  Electrons at disordered surfaces and 1/f noise. , 1986, Physical review letters.

[131]  S. Hikami.  Localization Length and Inverse Participation Ratio of Two Dimensional Electron in the Quantized Hall Effect , 1986 .

[132]  M. Zirnbauer,et al.  Localization transition on the Bethe lattice. , 1986, Physical review. B, Condensed matter.

[133]  K. Tankei,et al.  Statistics of Electrical Resistance in One-Dimensional Disordered System , 1986 .

[134]  J. Pichard,et al.  Many-Channel Transmission: Large Volume Limit of the Distribution of Localization Lengths and One-Parameter Scaling , 1986 .

[135]  Shapiro.  Probability distributions in the scaling theory of localization. , 1986, Physical review. B, Condensed matter.

[136]  B. Kramer,et al.  Localization in one dimensional correlated random potentials , 1986 .

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[146]  Aoki.  Fractal dimensionality of wave functions at the mobility edge: Quantum fractal in the Landau levels. , 1986, Physical review. B, Condensed matter.

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[240]  Y. Ono.  Energy Dependence of Localization Length of Two-Dimensional Electron System Moving in a Random Potential under Strong Magnetic Fields , 1982 .

[241]  G. Bergmann.  Measurement of the Magnetic Scattering Time by Weak Localization , 1982 .

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