Random Matrix Theory and the Anderson Model (original) (raw)

Some Rigorous Results for the Anderson Model

Tom Wolff

Physical Review Letters, 1985

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Dynamical Localization for Unitary Anderson Models

Eman Hamza

Mathematical Physics, Analysis and Geometry, 2009

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Off-Diagonal Disorder in the Anderson Model of Localization

Parthapratim Biswas

physica status solidi (b), 2000

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Anderson localization in Euclidean random matrices

Tomas Grigera

Physical Review B, 2005

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Scattering at the Anderson transition: Power-law banded random matrix model

Varga Imre

Physical Review B, 2006

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Universal Fluctuations in Spectra of Disordered Systems at the Anderson Transition

Isa Zharekeshev

Japanese Journal of Applied Physics, 1995

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Anderson transition in one-dimensional systems with spatial disorder

Rachid Bouamrane

2009

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A note on correlated and non-monotone Anderson models

Martin Tautenhahn

2008

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Anderson localization in a two-dimensional random gap model

K. Ziegler

Physica E: Low-dimensional Systems and Nanostructures, 2014

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From closed to open one-dimensional Anderson model: Transport versus spectral statistics

giuseppe celardo

Physical Review E, 2012

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Non-random perturbations of the Anderson Hamiltonian in the 1-D case

S. Molchanov, B. Vainberg

Applicable Analysis, 2013

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Anderson transition in 1D systems with spatial disorder

Khaled Senouci, N. Zekri, Rachid Bouamrane

Physica A-statistical Mechanics and Its Applications, 2010

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The Anderson localization transition and eigenfunction multifractality in an ensemble of ultrametric random matrices

Yan Fyodorov

Journal of Statistical …, 2009

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Anderson localization in a random correlated energy landscape

Stefanie Russ

Physica A: Statistical Mechanics and its Applications, 1999

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Disordered Electronic Models and Impurity Spin Dynamics. I: Ferromagnetic Ensemble and Mott Transition in an Exactly Solved Limit

Reinhold Oppermann

Progress of Theoretical Physics, 1982

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Exact ground state for the generic periodic Anderson model around half-filling

Zsolt Gulácsi

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Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder

Jean Bellissard

Markov Processes and Related Fields

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Relation between energy-level statistics and phase transition and its application to the Anderson model

Etienne Hofstetter

Physical review. B, Condensed matter, 1994

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A Short Introduction to Anderson Localization

Dirk Hundertmark

Analysis and Stochastics of Growth Processes and Interface Models, 2008

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Conductance distribution at criticality: one-dimensional Anderson model with random long-range hopping

Varga Imre

Annalen der Physik, 2009

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Anderson-Hubbard Model in d=inftyd = \inftyd=infty

V. Janis

1994

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Anderson transition in a one-dimensional system with three incommensurate frequencies

italo guarneri

Physical review letters, 1989

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The trimmed Anderson model at strong disorder: localisation and its breakup

Alexander Elgart

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Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices

Yan Fyodorov

Physical Review E, 1996

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Nonmonotonic confining potential and eigenvalue density transition for generalized random matrix model

Kazi Ashraful Alam

Physical review, 2021

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Exact results related to the periodic Anderson model in D » 1 dimensions

Zsolt Gulácsi

Philosophical Magazine Letters, 1998

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The Weak Localization for the Alloy-Type Anderson Model on a Cubic Lattice

Alexander Elgart

Journal of Statistical Physics, 2012

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Non-random perturbations of the Anderson Hamiltonian

B. Vainberg

Journal of Spectral Theory, 2011

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Spectral and Dynamical contrast on highly correlated Anderson-type models

Rodrigo Matos

Cornell University - arXiv, 2020

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Localization transition in the Anderson model on the Bethe lattice: Spontaneous symmetry breaking and correlation functions

Yan Fyodorov

Nuclear Physics B, 1991

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Interacting Electrons in Disordered Wires: Anderson Localization and Low-T Transport

Igor Gornyi

Physical Review Letters, 2005

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Absence of diffusion in the Anderson tight binding model for large disorder or low energy

Juerg Froehlich

Communications in Mathematical Physics, 1983

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Numerical investigations of scaling at the Anderson transition DISORDER, PHASE COHERENCE AND ELECTRON CORRELATIONS

Stefan Kettemann

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Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions

S. Mahmoudian

Journal of Physics: Condensed Matter, 2014

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Wegner-type Bounds for a Multi-particle Continuous Anderson Model with an Alloy-type External Potential

anne Boutet de Monvel

Journal of Statistical Physics, 2010

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