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We propose a scaling theory for the many-body localization (MBL) phase transition in one dimension, building on the idea that it proceeds via a 'quantum avalanche'.
P. W. Anderson, “Absence of Diffusion in Certain Random Lattices,” Phys. Rev. 109
1958
Earlier work this paper cites.
Robert B. Griffiths, “Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet,” Phys. Rev. Lett. 23
1969
Earlier work this paper cites.
J M Kosterlitz and D J Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” J. Phys. C 6
1973
Earlier work this paper cites.
A B Harris, “Upper bounds for the transition temperatures of generalized Ising models,” J. Phys. C 7
1974
Earlier work this paper cites.
Jorge V. José, Leo P. Kadanoff, Scott Kirkpatrick, and David R. Nelson, “Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model,” Phys. Rev. B 16
1977
Earlier work this paper cites.
L. Fleishman and P. Anderson, “Interactions and the Anderson transition,” Phys. Rev. B 21
1980
Earlier work this paper cites.
J. Chayes, L. Chayes, Daniel Fisher, and T. Spencer, “Finite-Size Scaling and Correlation Lengths for Disordered Systems,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
Hans Weber and Petter Minnhagen, “Monte Carlo determination of the critical temperature for the two-dimensional X Y XY model,” Phys. Rev. B 37
1988
Earlier work this paper cites.
T. Giamarchi and H. J. Schulz, “Anderson localization and interactions in one-dimensional metals,” Phys. Rev. B 37
1988
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
Daniel S. Fisher, “Random transverse field Ising spin chains,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
Daniel S. Fisher, “Random antiferromagnetic quantum spin chains,” Phys. Rev. B 50
1994
Earlier work this paper cites.
S. T. Bramwell and P. C. W. Holdsworth, “Magnetization: A characteristic of the Kosterlitz-Thouless-Berezinskii transition,” Phys. Rev. B 49
1994
Earlier work this paper cites.
Boris L. Altshuler, Yuval Gefen, Alex Kamenev, and Leonid S. Levitov, “Quasiparticle Lifetime in a Finite System: A Nonperturbative Approach,” Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
R. Kenna and A.C. Irving, “The Kosterlitz-Thouless universality class,” Nucl. Phys. B 485
1997
Earlier work this paper cites.
D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, “Quantum dynamics of single trapped ions,” Rev. Mod. Phys. 75
2003
Earlier work this paper cites.
I. Gornyi, A. Mirlin, and D. Polyakov, “Interacting Electrons in Disordered Wires: Anderson Localization and Low- T T Transport,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
D.M. Basko, I.L. Aleiner, and B.L. Altshuler, “Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states,” Ann. Phys. (N.Y.) 321
2006
Earlier work this paper cites.
Vadim Oganesyan and David A. Huse, “Localization of interacting fermions at high temperature,” Phys. Rev. B 75
2007
Earlier work this paper cites.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Waseem S. Bakr, Jonathon I. Gillen, Amy Peng, Simon Fölling, and Markus Greiner, “A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice,” Nature 462
2009
Earlier work this paper cites.
L.-M. Duan and C. Monroe, “Colloquium: Quantum networks with trapped ions,” Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
Arijeet Pal and David A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
2010
Earlier work this paper cites.
Ehud Altman, Yariv Kafri, Anatoli Polkovnikov, and Gil Refael, “Superfluid-insulator transition of disordered bosons in one dimension,” Phys. Rev. B 81
2010
Earlier work this paper cites.
R. Blatt and C. F. Roos, “Quantum simulations with trapped ions,” Nat. Phys. 8
2012
Cited alongside, same era.
Marcus W. Doherty, Neil B. Manson, Paul Delaney, Fedor Jelezko, Jörg Wrachtrup, and Lloyd C.L. Hollenberg, “The nitrogen-vacancy colour centre in diamond,” Phys. Rep. 528
2013
Cited alongside, same era.
Bela Bauer and Chetan Nayak, “Area laws in a many-body localized state and its implications for topological order,” J. Stat. Mech. Theor. Exp. 2013
2013
Cited alongside, same era.
Romana Schirhagl, Kevin Chang, Michael Loretz, and Christian L. Degen, “Nitrogen-Vacancy Centers in Diamond: Nanoscale Sensors for Physics and Biology,” Annu. Rev. Phys. Chem. 65
2014
Cited alongside, same era.
David A. Huse, Rahul Nandkishore, and Vadim Oganesyan, “Phenomenology of fully many-body-localized systems,” Phys. Rev. B 90
2014
Sarang Gopalakrishnan, Kartiek Agarwal, Eugene A. Demler, David A. Huse, and Michael Knap, “Griffiths effects and slow dynamics in nearly many-body localized systems,” Phys. Rev. B 93
2016
Later among the works it cites.
David J. Luitz, Nicolas Laflorencie, and Fabien Alet, “Extended slow dynamical regime close to the many-body localization transition,” Phys. Rev. B 93
2016
Later among the works it cites.
Marko Žnidarič, Antonello Scardicchio, and Vipin Kerala Varma, “Diffusive and Subdiffusive Spin Transport in the Ergodic Phase of a Many-Body Localizable System,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
S. P. Lim and D. N. Sheng, “Many-body localization and transition by density matrix renormalization group and exact diagonalization studies,” Phys. Rev. B 94
2016
Later among the works it cites.
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Cited alongside, same era.
Jonas A. Kjäll, Jens H. Bardarson, and Frank Pollmann, “Many-Body Localization in a Disordered Quantum Ising Chain,” Phys. Rev. Lett. 113
2014
Cited alongside, same era.
2014
Cited alongside, same era.
A. De Luca, B. L. Altshuler, V. E. Kravtsov, and A. Scardicchio, “Anderson Localization on the Bethe Lattice: Nonergodicity of Extended States,” Phys. Rev. Lett. 113
2014
Cited alongside, same era.
David Pekker, Gil Refael, Ehud Altman, Eugene Demler, and Vadim Oganesyan, “Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality,” Phys. Rev. X 4
2014
Cited alongside, same era.
Michael Schreiber, Sean S. Hodgman, Pranjal Bordia, Henrik P. Lüschen, Mark H. Fischer, Ronen Vosk, Ehud Altman, Ulrich Schneider, and Immanuel Bloch, “Observation of many-body localization of interacting fermions in a quasirandom optical lattice,” Science 349
2015
Cited alongside, same era.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, Z. Chen, B. Chiaro, A. Dunsworth, I.-C. Hoi, C. Neill, P.J.J. OMalley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and John M. Martinis, “State preservation by repetitive error detection in a superconducting quantum circuit,” Nature 519
2015
Cited alongside, same era.
Rahul Nandkishore and David A. Huse, “Many-Body Localization and Thermalization in Quantum Statistical Mechanics,” Annu. Rev. Condens. Matter Phys. 6
2015
Cited alongside, same era.
2016
Later among the works it cites.
Scott D. Geraedts, Rahul Nandkishore, and Nicolas Regnault, “Many-body localization and thermalization: Insights from the entanglement spectrum,” Phys. Rev. B 93
2016
Later among the works it cites.
P. Roushan, C. Neill, J. Tangpanitanon, V. M. Bastidas, A. Megrant, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Fowler, B. Foxen, M. Giustina, E. Jeffrey, J. Kelly, E. Lucero, J. Mutus, M. Neeley, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. White, H. Neven, D. G. Angelakis, and J. Martinis, “Spectroscopic signatures of localization with interacting photons in superconducting qubits,” Science 358
2017
Later among the works it cites.
Philipp T. Dumitrescu, Romain Vasseur, and Andrew C. Potter, “Scaling Theory of Entanglement at the Many-Body Localization Transition,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
2017
Later among the works it cites.
Wojciech De Roeck and François Huveneers, “Stability and instability towards delocalization in many-body localization systems,” Phys. Rev. B 95
2017
Later among the works it cites.
David J Luitz, François Huveneers, and Wojciech De Roeck, “How a small quantum bath can thermalize long localized chains,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
Kartiek Agarwal, Ehud Altman, Eugene Demler, Sarang Gopalakrishnan, David A. Huse, and Michael Knap, “Rare-region effects and dynamics near the many-body localization transition,” Ann. Phys. (Berl.) 529
2017
Later among the works it cites.
Maksym Serbyn, Z. Papić, and Dmitry A. Abanin, “Thouless energy and multifractality across the many-body localization transition,” Phys. Rev. B 96
2017
Later among the works it cites.
Elmer V. H. Doggen, Gabriel Lemarié, Sylvain Capponi, and Nicolas Laflorencie, “Weak- versus strong-disorder superfluid—Bose glass transition in one dimension,” Phys. Rev. B 96
2017
Later among the works it cites.
2018
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Thimothée Thiery, François Huveneers, Markus Müller, and Wojciech De Roeck, “Many-Body Delocalization as a Quantum Avalanche,” Phys. Rev. Lett. 121
2018
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Shi-Xin Zhang and Hong Yao, “Universal Properties of Many-Body Localization Transitions in Quasiperiodic Systems,” Phys. Rev. Lett. 121
2018
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Simon A. Weidinger, Sarang Gopalakrishnan, and Michael Knap, “Self-consistent Hartree-Fock approach to many-body localization,” Phys. Rev. B 98
2018
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Elmer V. H. Doggen, Frank Schindler, Konstantin S. Tikhonov, Alexander D. Mirlin, Titus Neupert, Dmitry G. Polyakov, and Igor V. Gornyi, “Many-body localization and delocalization in large quantum chains,” Phys. Rev. B 98
2018
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Anna Goremykina, Romain Vasseur, and Maksym Serbyn, “Analytically Solvable Renormalization Group for the Many-Body Localization Transition,” Phys. Rev. Lett. 122
2019
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Maxime Dupont and Nicolas Laflorencie, “Many-body localization as a large family of localized ground states,” Phys. Rev. B 99
2019
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