The localization transition on the Bethe lattice
J. Physique Lett., 44 11 (1983) 411-414
Article cité par
La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme CrossRef Cited-by Linking Program. Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).
Article cité :
Citations de cet article :
Critical behavior of the Anderson transition in higher-dimensional Bogoliubov–de Gennes symmetry classes
Tong Wang, Zhiming Pan, Keith Slevin and Tomi OhtsukiPhysical Review B 108 (14) (2023)
https://doi.org/10.1103/PhysRevB.108.144208
Recent results of quantum ergodicity on graphs and further investigation
Nalini Anantharaman and Mostafa SabriAnnales de la Faculté des sciences de Toulouse : Mathématiques 28 (3) 559 (2019)
https://doi.org/10.5802/afst.1609
Localization in random bipartite graphs: Numerical and empirical study
František SlaninaPhysical Review E 95 (5) (2017)
https://doi.org/10.1103/PhysRevE.95.052149
Quantum ergodicity for the Anderson model on regular graphs
Nalini Anantharaman and Mostafa SabriJournal of Mathematical Physics 58 (9) (2017)
https://doi.org/10.1063/1.5000962
Finite size scaling for the many-body-localization transition: finite-size-pseudo-critical points of individual eigenstates
Cécile MonthusJournal of Statistical Mechanics: Theory and Experiment 2016 (12) 123303 (2016)
https://doi.org/10.1088/1742-5468/aa50db
Many-Body-Localization Transition in the Strong Disorder Limit: Entanglement Entropy from the Statistics of Rare Extensive Resonances
Cécile MonthusEntropy 18 (4) 122 (2016)
https://doi.org/10.3390/e18040122
Multi-scale Analysis for Random Quantum Systems with Interaction
Victor Chulaevsky and Yuri SuhovProgress in Mathematical Physics, Multi-scale Analysis for Random Quantum Systems with Interaction 65 3 (2014)
https://doi.org/10.1007/978-1-4614-8226-0_1
Interpretation of high-dimensional numerical results for the Anderson transition
I. M. SuslovJournal of Experimental and Theoretical Physics 119 (6) 1115 (2014)
https://doi.org/10.1134/S1063776114120188
Multi-scale Analysis for Random Quantum Systems with Interaction
Victor Chulaevsky and Yuri SuhovProgress in Mathematical Physics, Multi-scale Analysis for Random Quantum Systems with Interaction 65 27 (2014)
https://doi.org/10.1007/978-1-4614-8226-0_2
Multi-scale Analysis for Random Quantum Systems with Interaction
Victor Chulaevsky and Yuri SuhovProgress in Mathematical Physics, Multi-scale Analysis for Random Quantum Systems with Interaction 65 171 (2014)
https://doi.org/10.1007/978-1-4614-8226-0_4
Multi-scale Analysis for Random Quantum Systems with Interaction
Victor Chulaevsky and Yuri SuhovProgress in Mathematical Physics, Multi-scale Analysis for Random Quantum Systems with Interaction 65 137 (2014)
https://doi.org/10.1007/978-1-4614-8226-0_3
Localization in coupled heterogeneously disordered transport channels on the Bethe lattice
Hong-Yi Xie and M. MüllerPhysical Review B 87 (9) (2013)
https://doi.org/10.1103/PhysRevB.87.094202
Finite-size scaling from the self-consistent theory of localization
I. M. SuslovJournal of Experimental and Theoretical Physics 114 (1) 107 (2012)
https://doi.org/10.1134/S1063776111150131
Localization of eigenvectors in random graphs
F. SlaninaThe European Physical Journal B 85 (11) (2012)
https://doi.org/10.1140/epjb/e2012-30338-1
Anderson localization on the Cayley tree: multifractal statistics of the transmission at criticality and off criticality
Cécile Monthus and Thomas GarelJournal of Physics A: Mathematical and Theoretical 44 (14) 145001 (2011)
https://doi.org/10.1088/1751-8113/44/14/145001
Lifshitz Tails on the Bethe Lattice: A Combinatorial Approach
Victor Bapst and Guilhem SemerjianJournal of Statistical Physics 145 (1) 51 (2011)
https://doi.org/10.1007/s10955-011-0319-3
Extended States in a Lifshitz Tail Regime for Random Schrödinger Operators on Trees
Michael Aizenman and Simone WarzelPhysical Review Letters 106 (13) (2011)
https://doi.org/10.1103/PhysRevLett.106.136804
Many-body localization transition in a lattice model of interacting fermions: Statistics of renormalized hoppings in configuration space
Cécile Monthus and Thomas GarelPhysical Review B 81 (13) (2010)
https://doi.org/10.1103/PhysRevB.81.134202
Anderson transition on the Cayley tree as a traveling wave critical point for various probability distributions
Cécile Monthus and Thomas GarelJournal of Physics A: Mathematical and Theoretical 42 (7) 075002 (2009)
https://doi.org/10.1088/1751-8113/42/7/075002
New Trends in Mathematical Physics
François Germinet and Abel KleinNew Trends in Mathematical Physics 371 (2009)
https://doi.org/10.1007/978-90-481-2810-5_25
Analytical realization of finite-size scaling for Anderson localization: Is there a transition in the 2D case?
I. M. SuslovJournal of Experimental and Theoretical Physics 101 (4) 661 (2005)
https://doi.org/10.1134/1.2131934
Electronic transport properties of the Bethe lattices
Zhiping Lin and Youyan LiuPhysics Letters A 320 (1) 70 (2003)
https://doi.org/10.1016/j.physleta.2003.10.071
A new approach for the analytic computation of the instantaneous normal modes spectrum
Andrea Cavagna, Irene Giardina and Giorgio ParisiJournal of Physics: Condensed Matter 12 (29) 6295 (2000)
https://doi.org/10.1088/0953-8984/12/29/301
Diffuse Waves in Complex Media
B. A. TiggelenDiffuse Waves in Complex Media 1 (1999)
https://doi.org/10.1007/978-94-011-4572-5_1
Extended States in the Anderson Model on the Bethe Lattice
Abel KleinAdvances in Mathematics 133 (1) 163 (1998)
https://doi.org/10.1006/aima.1997.1688
Development of a (4ε)-dimensional theory for the density of states of a disordered system near the Anderson transition
Igor' M. SuslovUspekhi Fizicheskih Nauk 168 (5) 503 (1998)
https://doi.org/10.3367/UFNr.0168.199805b.0503
Localization and fluctuations of local spectral density on treelike structures with large connectivity: Application to the quasiparticle line shape in quantum dots
Alexander D. Mirlin and Yan V. FyodorovPhysical Review B 56 (20) 13393 (1997)
https://doi.org/10.1103/PhysRevB.56.13393
Spreading of wave packets in the Anderson model on the Bethe Lattice
Abel KleinCommunications in Mathematical Physics 177 (3) 755 (1996)
https://doi.org/10.1007/BF02099546
Weak-disorder expansion for the Anderson model on a tree
Jeffrey D. Miller and Bernard DerriddaJournal of Statistical Physics 75 (3-4) 357 (1994)
https://doi.org/10.1007/BF02186867
Theory of Lévy matrices
P. Cizeau and J. P. BouchaudPhysical Review E 50 (3) 1810 (1994)
https://doi.org/10.1103/PhysRevE.50.1810
A new self-consistent approximation for the mobility edge trajectories
T KawarabayashiJournal of Physics: Condensed Matter 6 (6) L65 (1994)
https://doi.org/10.1088/0953-8984/6/6/006
Lectures on Probability Theory
S. MolchanovLecture Notes in Mathematics, Lectures on Probability Theory 1581 242 (1994)
https://doi.org/10.1007/BFb0073874
Conductance behaviour near the metal-insulator transition on a disordered Bethe lattice
P M Bell and A MacKinnonJournal of Physics: Condensed Matter 6 (28) 5423 (1994)
https://doi.org/10.1088/0953-8984/6/28/017
Anderson model on a Cayley tree: the density of states
B Derrida and G J RodgersJournal of Physics A: Mathematical and General 26 (9) L457 (1993)
https://doi.org/10.1088/0305-4470/26/9/004
Localization at large disorder and at extreme energies: An elementary derivations
Michael Aizenman and Stanislav MolchanovCommunications in Mathematical Physics 157 (2) 245 (1993)
https://doi.org/10.1007/BF02099760
Decay rate of the Green function in a random potential on the Bethe lattice and a criterion for localization
T Kawarabayashi and M SuzukiJournal of Physics A: Mathematical and General 26 (21) 5729 (1993)
https://doi.org/10.1088/0305-4470/26/21/014
Overview on Some Aspects of the Theory of Localization
A. Brezini and N. Zekriphysica status solidi (b) 169 (2) 253 (1992)
https://doi.org/10.1002/pssb.2221690202
Analyticity of the density of states in the anderson model on the Bethe lattice
Victor Acosta and Abel KleinJournal of Statistical Physics 69 (1-2) 277 (1992)
https://doi.org/10.1007/BF01053794
Low-frequency vibrational spectrum and low-temperature specific heat of Bethe lattices
Davide CassiPhysical Review B 45 (1) 454 (1992)
https://doi.org/10.1103/PhysRevB.45.454
Localization transition in the Anderson model on the Bethe lattice: Spontaneous symmetry breaking and correlation functions
Alexander D. Mirlin and Yan V. FyodorovNuclear Physics B 366 (3) 507 (1991)
https://doi.org/10.1016/0550-3213(91)90028-V
Universality of level correlation function of sparse random matrices
A D Mirlin and Y V FyodorovJournal of Physics A: Mathematical and General 24 (10) 2273 (1991)
https://doi.org/10.1088/0305-4470/24/10/016
Anderson model with decaying randomness existence of extended states
M. KrishnaProceedings - Mathematical Sciences 100 (3) 285 (1990)
https://doi.org/10.1007/BF02837851
The density of states in the Anderson model at weak disorder: A renormalization group analysis of the hierarchical model
Anton BovierJournal of Statistical Physics 59 (3-4) 745 (1990)
https://doi.org/10.1007/BF01025849
Anderson localisation on a Cayley tree: a new model with a simple solution
J T Chalker and S SiakJournal of Physics: Condensed Matter 2 (11) 2671 (1990)
https://doi.org/10.1088/0953-8984/2/11/011
Schrödinger Operators
Werner KirschLecture Notes in Physics, Schrödinger Operators 345 264 (1989)
https://doi.org/10.1007/3-540-51783-9_23
Graded symmetry and Anderson localization on the Bethe lattice for time-reversal invariant systems
J.J.M. VerbaarschotNuclear Physics B 300 263 (1988)
https://doi.org/10.1016/0550-3213(88)90598-6
Anderson localization for Bernoulli and other singular potentials
Rene Carmona, Abel Klein and Fabio MartinelliCommunications in Mathematical Physics 108 (1) 41 (1987)
https://doi.org/10.1007/BF01210702
Random Media
Bernard SouillardThe IMA Volumes in Mathematics and Its Applications, Random Media 7 279 (1987)
https://doi.org/10.1007/978-1-4613-8725-1_19
Introduction to the mathematical theory of Anderson localization
F. Martinelli and E. ScoppolaLa Rivista Del Nuovo Cimento Series 3 10 (10) 1 (1987)
https://doi.org/10.1007/BF02740933
Some rigorous results for random and quasi-periodic potentials
Thomas SpencerPhysica A: Statistical Mechanics and its Applications 140 (1-2) 70 (1986)
https://doi.org/10.1016/0378-4371(86)90206-2
Anderson localization and non-linear sigma model with graded symmetry
Martin R. ZirnbauerNuclear Physics B 265 (2) 375 (1986)
https://doi.org/10.1016/0550-3213(86)90316-0
École d'Été de Probabilités de Saint Flour XIV - 1984
René CarmonaLecture Notes in Mathematics, École d'Été de Probabilités de Saint Flour XIV - 1984 1180 1 (1986)
https://doi.org/10.1007/BFb0074918
Spin-Glass on a Bethe Lattice
D. J. ThoulessPhysical Review Letters 56 (10) 1082 (1986)
https://doi.org/10.1103/PhysRevLett.56.1082
Localization transition on the Bethe lattice
Martin R. ZirnbauerPhysical Review B 34 (9) 6394 (1986)
https://doi.org/10.1103/PhysRevB.34.6394
Statistical Mechanics and Field Theory: Mathematical Aspects
Jean BellissardLecture Notes in Physics, Statistical Mechanics and Field Theory: Mathematical Aspects 257 99 (1986)
https://doi.org/10.1007/3-540-16777-3_74
Chaotic Behavior in Quantum Systems
Bernard SouillardNATO ASI Series, Chaotic Behavior in Quantum Systems 120 1 (1985)
https://doi.org/10.1007/978-1-4613-2443-0_1
Diffusion on a disordered Cayley tree
A Brezini, G Olivier and L DahmaniJournal of Physics C: Solid State Physics 18 (14) 2785 (1985)
https://doi.org/10.1088/0022-3719/18/14/009
Density of states of the random-hopping model on a Cayley tree
Y. Kim and A. B. HarrisPhysical Review B 31 (11) 7393 (1985)
https://doi.org/10.1103/PhysRevB.31.7393
One-dimensional Schrödinger operators with random potentials: A survey
René CarmonaActa Applicandae Mathematicae 4 (1) 65 (1985)
https://doi.org/10.1007/BF02293491
Statistical Physics and Dynamical Systems
B. SouillardStatistical Physics and Dynamical Systems 443 (1985)
https://doi.org/10.1007/978-1-4899-6653-7_23
Statistical Physics and Dynamical Systems
L. A. PasturStatistical Physics and Dynamical Systems 49 (1985)
https://doi.org/10.1007/978-1-4899-6653-7_4
477 (1985)
https://doi.org/10.1007/978-1-4613-2517-8_39
Electrons in random and almost-periodic potentials
Bernard SouillardPhysics Reports 103 (1-4) 41 (1984)
https://doi.org/10.1016/0370-1573(84)90064-4
The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation
J. W. Halley and C. DasguptaLecture Notes in Mathematics, The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation 1035 260 (1983)
https://doi.org/10.1007/BFb0073263