A novel field theoretical approach to the Anderson localization : sparse random hopping model
J. Phys. I France, 2 8 (1992) 1571-1605
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Multifractal statistics of non-Hermitian skin effect on the Cayley tree
Shu Hamanaka, Askar A. Iliasov, Titus Neupert, Tomáš Bzdušek and Tsuneya YoshidaPhysical Review B 111 (7) (2025)
https://doi.org/10.1103/PhysRevB.111.075162
Localized phase of the Anderson model on the Bethe lattice
Tommaso Rizzo and Marco TarziaPhysical Review B 110 (18) (2024)
https://doi.org/10.1103/PhysRevB.110.184210
Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs
Leticia F. Cugliandolo, Grégory Schehr, Marco Tarzia and Davide VenturelliPhysical Review B 110 (17) (2024)
https://doi.org/10.1103/PhysRevB.110.174202
$$\mathbb {H}^{2|2}$$-model and Vertex-Reinforced Jump Process on Regular Trees: Infinite-Order Transition and an Intermediate Phase
Rémy Poudevigne–Auboiron and Peter WildemannCommunications in Mathematical Physics 405 (8) (2024)
https://doi.org/10.1007/s00220-024-05070-y
Corrections to the Bethe lattice solution of Anderson localization
Matilde Baroni, Giulia Garcia Lorenzana, Tommaso Rizzo and Marco TarziaPhysical Review B 109 (17) (2024)
https://doi.org/10.1103/PhysRevB.109.174216
Quantum logarithmic multifractality
Weitao Chen, Olivier Giraud, Jiangbin Gong and Gabriel LemariéPhysical Review Research 6 (3) (2024)
https://doi.org/10.1103/PhysRevResearch.6.L032024
Describing the critical behavior of the Anderson transition in infinite dimension by random-matrix ensembles: Logarithmic multifractality and critical localization
Weitao Chen, Olivier Giraud, Jiangbin Gong and Gabriel LemariéPhysical Review B 110 (1) (2024)
https://doi.org/10.1103/PhysRevB.110.014210
Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
Jan-Niklas Herre, Jonas F. Karcher, Konstantin S. Tikhonov and Alexander D. MirlinPhysical Review B 108 (1) (2023)
https://doi.org/10.1103/PhysRevB.108.014203
Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization
I. García-Mata, J. Martin, O. Giraud, et al.Physical Review B 106 (21) (2022)
https://doi.org/10.1103/PhysRevB.106.214202
Critical behavior of the Anderson model on the Bethe lattice via a large-deviation approach
Giulio Biroli, Alexander K. Hartmann and Marco TarziaPhysical Review B 105 (9) (2022)
https://doi.org/10.1103/PhysRevB.105.094202
Eigenstate correlations around the many-body localization transition
K. S. Tikhonov and A. D. MirlinPhysical Review B 103 (6) (2021)
https://doi.org/10.1103/PhysRevB.103.064204
Lévy-Rosenzweig-Porter random matrix ensemble
G. Biroli and M. TarziaPhysical Review B 103 (10) (2021)
https://doi.org/10.1103/PhysRevB.103.104205
From Anderson localization on random regular graphs to many-body localization
K.S. Tikhonov and A.D. MirlinAnnals of Physics 435 168525 (2021)
https://doi.org/10.1016/j.aop.2021.168525
Two critical localization lengths in the Anderson transition on random graphs
I. García-Mata, J. Martin, R. Dubertrand, et al.Physical Review Research 2 (1) (2020)
https://doi.org/10.1103/PhysRevResearch.2.012020
Anomalous dynamics on the ergodic side of the many-body localization transition and the glassy phase of directed polymers in random media
G. Biroli and M. TarziaPhysical Review B 102 (6) (2020)
https://doi.org/10.1103/PhysRevB.102.064211
Statistics of eigenstates near the localization transition on random regular graphs
K. S. Tikhonov and A. D. MirlinPhysical Review B 99 (2) (2019)
https://doi.org/10.1103/PhysRevB.99.024202
Multifractal Scalings Across the Many-Body Localization Transition
Nicolas Macé, Fabien Alet and Nicolas LaflorenciePhysical Review Letters 123 (18) (2019)
https://doi.org/10.1103/PhysRevLett.123.180601
Critical behavior at the localization transition on random regular graphs
K. S. Tikhonov and A. D. MirlinPhysical Review B 99 (21) (2019)
https://doi.org/10.1103/PhysRevB.99.214202
Non-ergodic delocalized phase in Anderson model on Bethe lattice and regular graph
V.E. Kravtsov, B.L. Altshuler and L.B. IoffeAnnals of Physics 389 148 (2018)
https://doi.org/10.1016/j.aop.2017.12.009
Many-body localization transition with power-law interactions: Statistics of eigenstates
K. S. Tikhonov and A. D. MirlinPhysical Review B 97 (21) (2018)
https://doi.org/10.1103/PhysRevB.97.214205
Delocalized glassy dynamics and many-body localization
G. Biroli and M. TarziaPhysical Review B 96 (20) (2017)
https://doi.org/10.1103/PhysRevB.96.201114
Critical properties of the Anderson localization transition and the high-dimensional limit
E. Tarquini, G. Biroli and M. TarziaPhysical Review B 95 (9) (2017)
https://doi.org/10.1103/PhysRevB.95.094204
Multifractality of wave functions on a Cayley tree: From root to leaves
M. Sonner, K. S. Tikhonov and A. D. MirlinPhysical Review B 96 (21) (2017)
https://doi.org/10.1103/PhysRevB.96.214204
Fractality of wave functions on a Cayley tree: Difference between tree and locally treelike graph without boundary
K. S. Tikhonov and A. D. MirlinPhysical Review B 94 (18) (2016)
https://doi.org/10.1103/PhysRevB.94.184203
Level Statistics and Localization Transitions of Lévy Matrices
E. Tarquini, G. Biroli and M. TarziaPhysical Review Letters 116 (1) (2016)
https://doi.org/10.1103/PhysRevLett.116.010601
Anderson localization and ergodicity on random regular graphs
K. S. Tikhonov, A. D. Mirlin and M. A. SkvortsovPhysical Review B 94 (22) (2016)
https://doi.org/10.1103/PhysRevB.94.220203
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 67 (2014)
https://doi.org/10.1007/978-94-007-7205-2_3
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 1 (2014)
https://doi.org/10.1007/978-94-007-7205-2_1
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 529 (2014)
https://doi.org/10.1007/978-94-007-7205-2_11
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 639 (2014)
https://doi.org/10.1007/978-94-007-7205-2_13
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 477 (2014)
https://doi.org/10.1007/978-94-007-7205-2_10
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 297 (2014)
https://doi.org/10.1007/978-94-007-7205-2_7
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 573 (2014)
https://doi.org/10.1007/978-94-007-7205-2_12
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 195 (2014)
https://doi.org/10.1007/978-94-007-7205-2_5
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 127 (2014)
https://doi.org/10.1007/978-94-007-7205-2_4
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 427 (2014)
https://doi.org/10.1007/978-94-007-7205-2_9
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 17 (2014)
https://doi.org/10.1007/978-94-007-7205-2_2
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 247 (2014)
https://doi.org/10.1007/978-94-007-7205-2_6
Dynamics of Complex Quantum Systems
Vladimir M. AkulinTheoretical and Mathematical Physics, Dynamics of Complex Quantum Systems 363 (2014)
https://doi.org/10.1007/978-94-007-7205-2_8
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 TRANSITIONS: CRITICALITY, SYMMETRIES AND TOPOLOGIES
A. D. Mirlin, F. Evers, I. V. Gornyi and P. M. OstrovskyInternational Journal of Modern Physics B 24 (12n13) 1577 (2010)
https://doi.org/10.1142/S0217979210064526
Anderson transitions
Ferdinand Evers and Alexander D. MirlinReviews of Modern Physics 80 (4) 1355 (2008)
https://doi.org/10.1103/RevModPhys.80.1355
Anderson localization in Euclidean random matrices
S. Ciliberti, T. S. Grigera, V. Martín-Mayor, G. Parisi and P. VerrocchioPhysical Review B 71 (15) (2005)
https://doi.org/10.1103/PhysRevB.71.153104
Localization transition on complex networks via spectral statistics
M. Sade, T. Kalisky, S. Havlin and R. BerkovitsPhysical Review E 72 (6) (2005)
https://doi.org/10.1103/PhysRevE.72.066123
Growing random sequences
I Krasikov, G J Rodgers and C E TrippJournal of Physics A: Mathematical and General 37 (6) 2365 (2004)
https://doi.org/10.1088/0305-4470/37/6/026
Long-ranged model of random RL-C network
Yan V. FyodorovPhysica E: Low-dimensional Systems and Nanostructures 9 (3) 609 (2001)
https://doi.org/10.1016/S1386-9477(00)00269-1
Supersymmetry and Trace Formulae
Alexander D. MirlinNATO ASI Series, Supersymmetry and Trace Formulae 370 245 (1999)
https://doi.org/10.1007/978-1-4615-4875-1_12
Spectral properties of random reactance networks and random matrix pencils
Yan V FyodorovJournal of Physics A: Mathematical and General 32 (42) 7429 (1999)
https://doi.org/10.1088/0305-4470/32/42/314
Fluctuations in random RL-C networks: Nonlinear σ-model description
Yan V. FyodorovJournal of Experimental and Theoretical Physics Letters 70 (11) 743 (1999)
https://doi.org/10.1134/1.568256
Localization and fluctuations of local spectral density on treelike structures with large connectivity: Application to the quasiparticle line shape in quantum dots
Alexander Mirlin and Yan FyodorovPhysical Review B 56 (20) 13393 (1997)
https://doi.org/10.1103/PhysRevB.56.13393
Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States
Y. V. Fyodorov, O. A. Chubykalo, F. M Izrailev and G. CasatiPhysical Review Letters 76 (10) 1603 (1996)
https://doi.org/10.1103/PhysRevLett.76.1603
Universality of “level curvature” distribution for large random matrices: systematic analytical approaches
Yan V. Fyodorov and Hans-Jürgen SommersZeitschrift für Physik B Condensed Matter 99 (1) 123 (1995)
https://doi.org/10.1007/s002570050018
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
Distribution of local densities of states, order parameter function, and critical behavior near the Anderson transition
Alexander D. Mirlin and Yan V. FyodorovPhysical Review Letters 72 (4) 526 (1994)
https://doi.org/10.1103/PhysRevLett.72.526
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
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