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We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG).
1904
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2010
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2014
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2015
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2015
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2017
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V. Khemani, S. P. Lim, D. N. Sheng, and D. A. Huse, “Critical properties of the many-body localization transition,” Phys. Rev. X 7
2017
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F. Pietracaprina, G. Parisi, A. Mariano, S. Pascazio, and A. Scardicchio, “Entanglement critical length at the many-body localization transition,” J. Stat. Mech.: Theory and Experiment 2017
2017
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P. Prelovšek and J. Herbrych, “Self-consistent approach to many-body localization and subdiffusion,” Phys. Rev. B 96
2017
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S. Bera, G. De Tomasi, F. Weiner, and F. Evers, “Density propagator for many-body localization: Finite-size effects, transient subdiffusion, and exponential decay,” Phys. Rev. Lett. 118
2017
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Cited alongside, same era.
Y. Bar Lev, G. Cohen, and D. R. Reichman, “Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice,” Phys. Rev. Lett. 114
2015
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2015
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Sarang Gopalakrishnan, Markus Müller, Vedika Khemani, Michael Knap, Eugene Demler, and David A. Huse, “Low-frequency conductivity in many-body localized systems,” Phys. Rev. B 92
2015
Cited alongside, same era.
P. Hauke and M. Heyl, “Many-body localization and quantum ergodicity in disordered long-range ising models,” Phys. Rev. B 92
2015
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V Ros, M Müller, and A Scardicchio, “Integrals of motion in the many-body localized phase,” Nucl. Phys. B 891
2015
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D. J. Luitz and Y. Bar Lev, “Anomalous thermalization in ergodic systems,” Phys. Rev. Lett. 117
2016
Cited alongside, same era.
M. Žnidarič, A. Scardicchio, and V. K. Varma, “Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system,” Phys. Rev. Lett. 117
2016
Cited alongside, same era.
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Xiongjie Yu, David Pekker, and Bryan K. Clark, “Finding matrix product state representations of highly excited eigenstates of many-body localized hamiltonians,” Phys. Rev. Lett. 118
2017
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G. Biroli and M. Tarzia, “Delocalized glassy dynamics and many-body localization,” Phys. Rev. B 96
2017
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I. García-Mata, O. Giraud, B. Georgeot, J. Martin, R. Dubertrand, and G. Lemarié, “Scaling theory of the anderson transition in random graphs: Ergodicity and universality,” Phys. Rev. Lett. 118
2017
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F. L. Metz and I. P. Castillo, “Level compressibility for the anderson model on regular random graphs and the eigenvalue statistics in the extended phase,” Phys. Rev. B 96
2017
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M. Sonner, K. S. Tikhonov, and A. D. Mirlin, “Multifractality of wave functions on a cayley tree: From root to leaves,” Phys. Rev. B 96
2017
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M. Serbyn, Z. Papić, and D. A. Abanin, “Thouless energy and multifractality across the many-body localization transition,” Phys. Rev. B 96
2017
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F. Alet and N. Laflorencie, “Many-body localization: An introduction and selected topics,” Comptes Rendus Physique 19
2018
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E. V. H. Doggen, F. Schindler, K. S. Tikhonov, A. D. Mirlin, T. Neupert, D. G. Polyakov, and I. V. Gornyi, “Many-body localization and delocalization in large quantum chains,” Phys. Rev. B 98
2018
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V.E. Kravtsov, B.L. Altshuler, and L.B. Ioffe, “Non-ergodic delocalized phase in anderson model on bethe lattice and regular graph,” Annals of Physics 389
2018
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2018
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2018
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S. Bera, G. De Tomasi, I. M. Khaymovich, and A. Scardicchio, “Return probability for the anderson model on the random regular graph,” Phys. Rev. B 98
2018
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E. Bogomolny and M. Sieber, “Power-law random banded matrices and ultrametric matrices: Eigenvector distribution in the intermediate regime,” Phys. Rev. E 98
2018
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D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, “Colloquium: Many-body localization, thermalization, and entanglement,” Rev. Mod. Phys. 91
2019
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Felix Weiner, Ferdinand Evers, and Soumya Bera, “Slow dynamics and strong finite-size effects in many-body localization with random and quasiperiodic potentials,” Phys. Rev. B 100
2019
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D. E. Logan and S. Welsh, “Many-body localization in fock space: A local perspective,” Phys. Rev. B 99
2019
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2019
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P. A. Nosov, I. M. Khaymovich, and V. E. Kravtsov, “Correlation-induced localization,” Physical Review B 99
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