Theories of electrons in one-dimensional disordered systems

Absence of Diffusion in Certain Random Lattices

1958 • 11,492 citations

Electronic Processes in Non-Crystalline Materials

1972 • 9,172 citations

Amorphous and Liquid Semiconductors

1974 • 6,181 citations

Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions

1979 • 5,812 citations

Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction

1957 • 3,201 citations

Group theory and quantum mechanics

1964 • 1,885 citations

The theory and properties of randomly disordered crystals and related physical systems

1974 • 1,574 citations

The theory of impurity conduction

1961 • 1,431 citations

A theory of the electrical properties of liquid metals. I: The monovalent metals

1961 • 1,175 citations

Quantum mechanics of electrons in crystal lattices

1931 • 1,078 citations

New method for a scaling theory of localization

1980 • 994 citations

Noncommuting random products

1963 • 952 citations

Impurity-Band Tails in the High-Density Limit. I. Minimum Counting Methods

1966 • 734 citations

Vibrational Properties of Imperfect Crystals with Large Defect Concentrations

1967 • 707 citations

Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System

1973 • 703 citations

The Dynamics of a Disordered Linear Chain

1953 • 660 citations

Numerical studies of localization in disordered systems

1972 • 582 citations

Electric and magnetic properties of linear conducting chains

1972 • 542 citations

Possible Explanation of Nonlinear Conductivity in Thin-Film Metal Wires

1979 • 526 citations

Conduction in non-crystalline systems

1968 • 450 citations

A new method for the evaluation of electric conductivity in metals

1958 • 437 citations

A theory of the electrical properties of liquid metals II. Polyvalent metals

1962 • 414 citations

Persistence and Amalgamation Types in the Electronic Structure of Mixed Crystals

1968 • 394 citations

Wave propagation through an assembly of spheres: II. The density of single-particle eigenstates

1967 • 348 citations

Theory of Bound States in a Random Potential

1966 • 330 citations

Green's Functions for a Particle in a One-Dimensional Random Potential

1965 • 317 citations

Contribution to the Theory of Disordered Alloys

1969 • 316 citations

Static Conductance and Scaling Theory of Localization in One Dimension

1981 • 298 citations

Disordered One-Dimensional Crystals

1957 • 297 citations

Identification of a Class of Disordered One-Dimensional Conductors

1972 • 286 citations

Theory of Impurity Band Conduction in Semiconductors

1961 • 279 citations

Conductivity of the disordered linear chain

1981 • 260 citations

Wave Mechanics of Crystalline Solids

1962 • 256 citations

Localized States of a Binary Alloy

1972 • 236 citations

Computational Methods for Large Molecules and Localized States in Solids

1973 • 225 citations

Electron Levels in a One-Dimensional Random Lattice

1960 • 222 citations

Physics in One Dimension

1981 • 221 citations

Energy Levels of a Disordered Alloy

1955 • 218 citations

The modification of electron energy levels by impurity atoms

1961 • 202 citations

Nonmetallic Conduction in Thin Metal Films at Low Temperatures.

1979 • 201 citations

Vibrational spectra of diatomic chains

1960 • 192 citations

Electronic Properties of an Amorphous Solid. II. Further Aspects of the Theory

1971 • 180 citations

The paradox with the static conductivity of a one-dimensional metal

1981 • 176 citations

Quasi-One-Dimensional Conductors

1978 • 172 citations

Theory of Impurity Resistance in Metals

1960 • 161 citations

A Systematic Approach to the Problems of Random Lattices. I: A Self-Contained First-Order Approximation Taking into Account the Exclusion Effect

1968 • 157 citations

Hopping Conductivity in One Dimension

1973 • 156 citations

Off-diagonal disorder in one-dimensional systems

1981 • 151 citations

Analytic approximation for substitutional alloys

1978 • 151 citations

Impurity States in Metals

1962 • 150 citations

Exact results for a three-dimensional alloy with site diagonal disorder: comparison with the coherent potential approximation

1975 • 141 citations

Scaling studies of the resistance of the one-dimensional Anderson model with general disorder

1981 • 141 citations

The electronic structure of disordered system

1964 • 140 citations

Group Theory and Quantum Mechanics

1974 • 139 citations

Experimental study of localization in thin wires

1980 • 135 citations

A new formalism for the study of configuration-averaged properties of disordered systems

1973 • 134 citations

Experimental Study of Anderson Localization in Thin Wires

1979 • 133 citations

Mean free path and density of conductance electrons in platinum determined by the size effect in extremely thin films

1980 • 130 citations

Band Structure and Impurity States

1969 • 124 citations

Dynamics of Disordered Harmonic Lattices. I. Normal-Mode Frequency Spectra for Randomly Disordered Isotopic Binary Lattices

1967 • 121 citations

Band Structure in Disordered Alloys and Impurity Semiconductors

1953 • 118 citations

One-Dimensional Impurity Bands

1958 • 112 citations

A New Method for the Electronic Structure of Random Lattice –the Coexistence of the Local and the Band Character–

1969 • 102 citations

Resistance fluctuations in disordered one-dimensional conductors

1980 • 101 citations

CALCULATION OF THE ELECTRONIC STRUCTURE OF LIQUID METALS

1966 • 100 citations

Hopping conductivity in highly anisotropic systems

1973 • 99 citations

Some Exact Results for One-Dimensional Models of Solids

1973 • 97 citations

Multishell method: Exact treatment of a cluster in an effective medium

1977 • 94 citations

Theory of Impurity Resistance in Metals. II

1961 • 94 citations

Exact formulae for the electrical resistivity

1975 • 94 citations

Self-Consistent Average Green's Function in Random Lattices: A Generalized Coherent-Potential Approximation (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>) and Its Diagrammatic Equivalents

1971 • 93 citations

The electronic structure of liquid insulators

1963 • 89 citations

Numerical studies of inverse localisation length in one dimension

1980 • 88 citations

Electronic Properties of Sulphur Hexafluoride. II. Molecular Orbital Interpretation of Its X-Ray Absorption Spectra

1972 • 85 citations

Amorphous semiconductors

1971 • 85 citations

Conductivity and localization of electron states in one dimensional disordered systems: Further numerical results

1981 • 84 citations

Hopping conduction in quasi-one-dimensional disordered compounds

1977 • 83 citations

Transmission of particles through a random one-dimensional potential

1981 • 83 citations

Quantum Localization in Amorphous W-Re Alloys

1980 • 79 citations

Quasi-One-Dimensional Conductors II

1979 • 76 citations

Hopping Conductivity in "One-Dimensional" Disordered Compounds

1973 • 74 citations

Elementary excitations in random substitutional alloys

1976 • 74 citations

Coherent-Potential Approximation for Random Systems with Short-Range Correlations

1972 • 63 citations

Wave Mechanics of Crystalline Solids

1970 • 60 citations

Electron Localization in Disordered Systems

1972 • 59 citations

Scaling theory of Anderson localization: A renormalization-group approach

1981 • 55 citations

Contribution to the Theory of Impurity Band Conduction. I

1966 • 55 citations

Band Structures of One-Dimensional Crystals with Square-Well Potentials

1953 • 54 citations

Nonvanishing zero temperature static conductivity in one dimensional disordered systems

1979 • 54 citations

Electronic Structure of Disordered One-Dimensional Chains

1954 • 52 citations

The theory of the electronic structure of liquid metals

1963 • 52 citations

Electron Eigenstates in a One-dimensional Liquid

1962 • 50 citations

1D localisation and the symmetric group

1982 • 49 citations

A central limit theorem for the disordered harmonic chain

1975 • 49 citations

Spectra of Ternary Alloys

1979 • 45 citations

Probability distribution and new scaling law for the resistance of a one-dimensional Anderson model

1981 • 42 citations

Periodic Impurities in a Periodic Lattice

1954 • 40 citations

Order-Disorder Phase Transition in Binary Alloys—Coherent Potential Approximation

1970 • 40 citations

On some generalizations of the coherent potential approximation in the disordered alloy problem

1972 • 40 citations

Energy Levels of a Disordered Alloy

1956 • 39 citations

Pseudofermion approach to binary disordered systems. I. Effective-medium theories and the augmented-space method

1979 • 38 citations

Generalized Landauer formula

1980 • 36 citations

Exact Solution of the One-Dimensional Schrödinger Equation with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi></mml:math>-Function Potentials of Arbitrary Position and Strength

1972 • 36 citations

Zone Theory of Liquids

1960 • 36 citations

Persistent Metallic Behavior of Thin Bismuth Whiskers

1980 • 35 citations

Theory of hopping conductivity in disordered systems

1972 • 35 citations

Optical properties and electronic structure of ordered and disordered<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Au

1974 • 34 citations

Localization lengths in one-dimensional disordered systems

1972 • 33 citations

Some Exact Results on Electron Energy Levels in Certain One-Dimensional Random Potentials

1972 • 32 citations

The electronic structure of a one-dimensional random alloy

1964 • 32 citations

A path integral approach to disordered systems

1969 • 31 citations

Existence of Energy Gaps in the Spectrum of a One-Dimensional Atomic Chain

1965 • 31 citations

Floquet's Theorem and Band Theory in One Dimension

1971 • 31 citations

Electron localisation in a random potential: a random walk analogue

1980 • 30 citations

The vibrational spectrum of a disordered linear system

1964 • 30 citations

The energy spectrum of an amorphous substance

1960 • 29 citations

A calculation of the density of electron states and degree of localization in a one-dimensional liquid model

1964 • 28 citations

Renormalization-group study of Anderson localization

1979 • 28 citations

One-dimensional Chains with Random Spacing between Atoms

1961 • 28 citations

Low-Lying Energy Spectrum of a One-Dimensional Disordered System

1973 • 27 citations

Electronic Structure of One-Dimensional Binary Alloys

1968 • 27 citations

Special aspects of the electronic structure of a onedimensional random alloy

1971 • 26 citations

Calculation of localization length in disordered chains

1981 • 25 citations

Energy Bands in One-Dimensional Aperiodic Potentials

1970 • 25 citations

Low-energy density of states and long-time behaviour of random chanins: a scaling approach

1979 • 24 citations

Long range order, short range order and energy gaps

1972 • 23 citations

Electron Energy Bands of One-Dimensional Random Alloys

1961 • 23 citations

Structure of the Spectra of Disordered Systems. I

1964 • 22 citations

Dynamics of a Disordered Linear Chain

1956 • 22 citations

Dynamics of a Disordered Diatomic Chain

1969 • 21 citations

Electron localization in disordered systems (the Anderson transition)

1978 • 20 citations

The case for sharp band edges in amorphous Ge and Si

1972 • 20 citations

Scattering states for a finite chain in one dimension

1981 • 19 citations

On the electronic structure of disordered systems

1965 • 19 citations

Improved numerical results for the three-dimensional alloy with site diagonal disorder

1977 • 19 citations

Saxon-Hutner Theorem for One-Dimensional General Alloys

1969 • 17 citations

Electron Energy Gaps in a One-Dimensional Liquid

1965 • 16 citations

Density of states of disordered continued fraction method

1975 • 16 citations

Extension of Some Theorems on the Eigenvalue Spectra of One-Dimensional Systems To Linear Chains

1972 • 16 citations

Green's-Function Method for Energy Bands in Disordered Alloys—Application to Alpha Brass

1969 • 15 citations

The thermal conductivity of structurally disordered solids

1968 • 14 citations

Energy Bands in One-Dimensional Aperiodic Crystals

1969 • 14 citations

On the quantum theory of electrical conductivity. II

1963 • 14 citations

Density of States in Amorphous Metals

1978 • 13 citations

Theories of Spectral Gaps of Higher-Dimensional Disordered Systems

1970 • 13 citations

Theory of disordered systems. I. The functional average

1972 • 13 citations

Effect of random disorder on the interrupted strand model of 1-dimensional metals

1972 • 13 citations

Theory of Disordered Systems.II. Functional Equation of tho Self‐Energy

1972 • 12 citations

A New Approach to Green's Function of a Particle in One Dimension

1962 • 12 citations

Statistical Properties of Waves in a Random Medium

1969 • 12 citations

One dimensional band theory in the WKB approximation

1969 • 12 citations

Electronic Levels of a Model of Liquid Potassium

1957 • 12 citations

Density of Electronic Energy Levels for a One-Dimensional Liquid

1959 • 11 citations

Some Numerical Experiments and Remarks on the Localization of Eigenmodes in Disordered One-Dimensional Systems

1970 • 11 citations

On the comparison between the green function method and the kinetic approach to the impurity resistance in quantum systems

1969 • 11 citations

Cluster effects in disordered systems

1972 • 11 citations

A simple interpretation of the absence of quantum diffusion for one- and two-dimensional disorder

1981 • 11 citations

Electrons in Weak Interaction with a Chain of Atoms

1960 • 10 citations

Weak-binding Approximation in a One-dimensional Liquid Chain

1963 • 10 citations

Density of states of disordered systems by the continued-fraction method. III

1977 • 10 citations

Special Energies in the Electronic Energy Spectrum for a Disordered Diatomic Chain

1966 • 10 citations

Local-density approximation for electron eigenstates in a one-dimensional liquid model

1967 • 9 citations

Kronig-Penney model for impurity states

1971 • 9 citations

Structure of the Spectra of Disordered Systems. II

1964 • 8 citations

Generalized cluster—Bethe-lattice approach to binary alloys with diagonal and off-diagonal disorder and short-range order

1978 • 8 citations

Bandtailing in a disordered Kronig-Penney model

1965 • 8 citations

Degree of localization in three dimensional disordered systems

1972 • 8 citations

A generalized diatomic Kronig-Penney model

1969 • 8 citations

Kronig-Penney-type calculations for electron tunneling through thin disordered dielectric films

1972 • 8 citations

Localization of electrons in disordered structures

1965 • 8 citations

Electrical conductivity in a one-dimensional aperiodic solid

1972 • 7 citations

Electronic States of a Kronig-Penney Crystal with Random Atomic Positions

1964 • 7 citations

Modified local density approximation for disordered potential arrays

1970 • 7 citations

Electronic density of states in disordered alloys

1972 • 7 citations

On the density of states of disordered alloys and their moments

1976 • 7 citations

Electronic States in a Disordered Binary Alloy

1971 • 6 citations

Analytic conditions for the existence of localized electron states in a linear chain with an arbitrary number of impurities

1977 • 6 citations

Wave propagation through an assembly of spheres: V. The vibrations of a loaded elastic continuum

1967 • 6 citations

Some comments on the augmented space method

1978 • 6 citations

Energy Bands in One-Dimensional Aperiodic Potentials

1970 • 6 citations

A note Phariseau's treatment of the electronic states of an amorphous substance

1972 • 6 citations

Frequency spectra of disordered chains with short‐range order

1977 • 5 citations

Non-exponential range of localized electron states in liquid chains

1969 • 5 citations

Reflection and transmission of plane waves by layered periodic media

1969 • 4 citations

Significance of the ensemble average of the Green function for a random system

1971 • 4 citations

Non-exponential range of localized electron states in liquid chains

1968 • 4 citations

A New Model for Covalent Semiconductors with Topological Disorder

1972 • 3 citations

On electronic states of disordered systems

1971 • 3 citations

Derivation of the band tailing in the Anderson model

1971 • 3 citations

On the theory of disordered chains

1979 • 3 citations

The effect of disorder on the local density of states of a linear chain of δ-scatterers

1982 • 3 citations

Conductivity of the randomly disordered sine-Gordon chain

1981 • 2 citations

The density of states of a one-dimensional liquid

1969 • 2 citations

Spectra density of a random chain of oscillators: Cellular coherent-potential approximation calculations

1978 • 2 citations

On calculation of electronic states in disordered alloys

1981 • 2 citations

A general approach to the stochastic impurity problem in crystals

1972 • 1 citations

An exact calculation of the average density of states in disordered systems

1978 • 1 citations

Frequency Spectrum of a One-Dimensional Lattice with an Isotopic Impurity

1970 • 1 citations

Deleted Work

1955 • 0 citations