Scaling properties of probability distributions in disordered systems

Keywords

Scaling, Statistical physics, Probability distribution, Scaling law, Transformation (genetics)

References

• Multifractal wavefunction at the localisation thresholdC. Castellani, Luca Peliti — 1986
• Inverse participation ratio in 2+ε dimensionsFranz Wegner — 1980
• Electrons in disordered systems. Scaling near the mobility edgeFranz Wegner — 1976
• The paradox with the static conductivity of a one-dimensional metalА. А. Абрикосов — 1981
• A large dispersion of physical quantities as a consequence of Anderson localisationL. B. Ioffe, I.R. Sagdeev, V. M. Vinokur — 1985
• The one-dimensional Anderson model: scaling and resonances revisitedJ.‐L. Pichard — 1986
• A Renormalization Group Approach for Randomly Distributed ConductanceVladimir Kazakov, A. M. Satanin — 1981
• Central‐limit theorems on groupsPier A. Mello — 1986
• New method for a scaling theory of localizationP. W. Anderson, D. J. Thouless, Elihu Abrahams — 1980
• Probability distributions in the scaling theory of localization.Boris Shapiro — 1986
• Resistance fluctuation in a one-dimensional conductor with static disorder.N. Kumar — 1985
• Conductivity near a mobility edge (II)N. F. Mott, M. Kaveh — 1985
• 1D localisation and the symmetric groupJ. B. Pendry — 1982
• Macroscopic approach to the theory of one-dimensional disordered conductors.Pier A. Mello — 1987
• New method for scaling theory of localization. II. Multichannel theory of aPhilip W. Anderson — 1981
• Notes on Migdal's recursion formulasLeo P. Kadanoff — 1976
• Universal conductance fluctuations in metals.P. A. Lee, A. Douglas Stone — 1985
• Resistance fluctuation at the mobility edgeN. Kumar, A. M. Jayannavar — 1986
• Renormalization-Group Transformation for the Anderson TransitionBoris Shapiro — 1982
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two DimensionsElihu Abrahams, Philip W. Anderson, D. C. Licciardello — 1979

Cited by

• Fluctuations of the Lyapunov exponent in two-dimensional disordered systemsKeith Slevin, Yoichi Asada, Lev Deych — 2004
• Generalized Dorokhov-Mello-Pereyra-Kumar equation for strongly localized regime: Numerical solutionJán Brndiar, René Derian, P. Markoš — 2007
• Anderson transition in 1D systems with spatial disorderRabah Benhenni, Khaled Senouci, Rachid Bouamrane — 2009
• Conductance distribution in two-dimensional localized systems with and without magnetic fieldsJavier Prior, A. M. Somoza, M. Teresa Ortuño — 2009
• RANDOM-MATRIX THEORIES IN QUANTUM PHYSICS : COMMON CONCEPTSThomas Guhr, Axel Müller–Groeling, Hans A. Weidenmüller — 1997
• Scaling of the conductance distribution near the Anderson transitionKeith Slevin, P. Markoš, Tomi Ohtsuki — 2002
• Distribution functions of current density and local density of states in disordered quantum conductorsIgor V. Lerner — 1988
• Exact transmission moments in one-dimensional weak localization and single-parameter scalingJean Heinrichs — 2003
• INHOMOGENEOUS FIXED POINT ENSEMBLES REVISITEDFranz J. Wegner — 2010
• Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interactionА В Малышев, В. А. Малышев, F. Domínguez‐Adame — 2003
• Possible Anderson transition below two dimensions in disordered systems of noninteracting electronsYoichi Asada, Keith Slevin, Tomi Ohtsuki — 2005
• Scaling theory of conductance fluctuations in disordered metalsJ. Heinrichs — 1989
• Quantum transport phenomena in disordered electron systems with spin–orbit coupling in two dimensions and belowYoichi Asada, Keith Slevin, Tomi Ohtsuki — 2005
• Applicability of scaling description to the distribution of mesoscopic fluctuationsB. L. Altshuler, V. E. Kravtsov, Igor V. Lerner — 1989
• Propagation of waves through a slab near the Anderson transition: a local scaling approachRichard Berkovits, M. Kaveh — 1990
• Crossover of conductance and local density of states in a single-channel disordered quantum wireShinsei Ryu, Christopher Mudry, Akira Furusaki — 2004
• Scaling theory of quantum resistance distributions in disordered systemsA. M. Jayannavar — 1991
• Numerical Study of a Universal Distribution and Non-Universal Distributions of Resistance and Transmission Coefficient in 1-D Disordered SystemsHiroaki Yamada, Masaki Gôda, Yôji Aizawa — 1991
• Effect of an electric field on the mobility edgeA. M. Jayannavar — 1989
• Statistical properties of the Anderson transition Numerical resultsP. Markoš, B. Krämer — 1993

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