Fetching the paper…
Reading the bibliography…
We establish rigorously that transport is slower than diffusive for a class of disordered one-dimensional Hamiltonian chains.
Absence of diffusion in certain random lattices
P. W. Anderson · 1958
Earlier work this paper cites.
Heat Flow in Regular and Disordered Harmonic Chains
A. Casher and J. L. J. L. Lebowitz · 1971
Earlier work this paper cites.
Abnormal Lattice Thermal Conductivity of a One-Dimensional, Harmonic, Isotopically Disordered Crystal
R. J. Rubin and W. L. Greer · 1971
Earlier work this paper cites.
A pure point spectrum of the stochastic one-dimensional Schrödinger operator
I. Ya. Gol’dshtein, S. A. Molchanov, and L. A. Pastur · 1977
Earlier work this paper cites.
Interactions and the Anderson transition
L. Fleishman and P. W. Anderson · 1980
Earlier work this paper cites.
Sur le spectre des opérateurs aux différences finies aléatoires
H. Kunz and B. Souillard · 1980
Earlier work this paper cites.
Absence of diffusion in the Anderson tight binding model for large disorder or low energy
J. Fröhlich and T. Spencer · 1983
Earlier work this paper cites.
Schrödinger Operators with Applications to Quantum Mechanics and Global Geometry
H. L. Cycon, R. G. Froese, W. Kirsch, and B Simon · 1987
Earlier work this paper cites.
Remarks on Decay of Correlations and Witten Laplacians Brascamp–Lieb Inequalities and Semiclassical Limit
B. Helffer · 1998
Earlier work this paper cites.
Remarks on decay of correlations and Witten Laplacians III. Application to logarithmic Sobolev inequalities
B. Helffer · 1999
Earlier work this paper cites.
Correlations, Spectral Gap, and Log-Sobolev Inequalities for Unbounded Spin Systems
T. Bodineau and B. Helffer · 2000
Earlier work this paper cites.
Quantum dynamical systems
R. Alicki and M. Fannes · 2001
Earlier work this paper cites.
Interacting electrons in disordered wires: Anderson localization and low-T transport
I. Gornyi, A. Mirlin, and D. Polyakov · 2005
Earlier work this paper cites.
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
D. M. Basko, I. L. Aleiner, and B. L. Altshuler · 2006
Earlier work this paper cites.
Localization of interacting fermions at high temperature
V. Oganesyan and D. A. Huse · 2007
Earlier work this paper cites.
Effect of Phonon-Phonon Interactions on Localization
A. Dhar and J. L. Lebowitz · 2008
Earlier work this paper cites.
Dynamical thermalization of disordered nonlinear lattices
M. Mulansky, K. Ahnert, A. Pikovsky, and D. Shepelyansky · 2009
Cited alongside, same era.
Energy transport in disordered classical spin chains
V. Oganesyan, A. Pal, and D. Huse · 2009
Cited alongside, same era.
Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion
D. Basko · 2011
Cited alongside, same era.
A Short Course on One-Dimensional Random Schrödinger Operators
D. Damanik · 2011
Cited alongside, same era.
Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential
C. Bernardin and F. Huveneers · 2013
Cited alongside, same era.
Local conservation laws and the structure of the many-body localized states
Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
M. Žnidarič, A. Scardicchio, and V. K. Varma · 2016
Later among the works it cites.
Localization properties of the disordered XY spin chain: A review of mathematical results with an eye toward many-body localization
H. Abdul-Rahman, B. Nachtergaele, R. Sims, and G. Stolz · 2017
Later among the works it cites.
Rare-region effects and dynamics near the many-body localization transition
K. Agarwal, E. Altman, E. Demler, S. Gopalakrishnan, D. A. Huse, and M. Knap · 2017
Later among the works it cites.
Special Issue: Many-Body Localization
J. H. Bardarson, F. Pollmann, U. Schneider, and S. Sondhi, editors · 2017
Later among the works it cites.
Stability and instability towards delocalization in many-body localization systems
W. De Roeck and F. Huveneers · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Serbyn, Z. Papić, and D. Abanin · 2013
Cited alongside, same era.
Anomalous diffusion and Griffiths effects near the many-body localization transition
K. Agarwal, S. Gopalakrishnan, M. Knap, M. Müller, and E. Demler · 2015
Cited alongside, same era.
Universal dynamics and renormalization in many-body-localized systems
E. Altman and R. Vosk · 2015
Cited alongside, same era.
Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
Yevgeny Bar Lev, Guy Cohen, and David R Reichman · 2015
Cited alongside, same era.
Universal properties of many-body delocalization transitions
A. C. Potter, R. Vasseur, and S. A. Parameswaran · 2015
Cited alongside, same era.
Griffiths effects and slow dynamics in nearly many-body localized systems
S. Gopalakrishnan, K. Agarwal, E. Demler, D. Huse, and M. Knap · 2016
Cited alongside, same era.
On many-body localization for quantum spin chains
J. Imbrie · 2016
Cited alongside, same era.
R. Ducatez · 2017
Later among the works it cites.
The ergodic side of the many-body localization transition
D. J. Luitz and Y. Bar Lev · 2017
Later among the works it cites.
How a Small Quantum Bath Can Thermalize Long Localized Chains
D. J. Luitz, F. Huveneers, and W. De Roeck · 2017
Later among the works it cites.
Spin subdiffusion in the disordered Hubbard chain
M. Kozarzewski, P. Prelovšek, and M. Mierzejewski · 2018
Later among the works it cites.
Anomalous thermalization and transport in disordered interacting floquet systems
Sthitadhi Roy, Yevgeny Bar Lev, and David J Luitz · 2018
Later among the works it cites.
Energy transport in a disordered spin chain with broken U(1) symmetry: Diffusion, subdiffusion, and many-body localization
Maximilian Schulz, Scott Richard Taylor, Christopher Andrew Hooley, and Antonello Scardicchio · 2018
Later among the works it cites.
Glassy dynamics in strongly anharmonic chains of oscillators
W. De Roeck and F. Huveneers · 2019
Closest in time.
Sub-diffusion in the anderson model on random regular graph
Giuseppe De Tomasi, Soumya Bera, Antonello Scardicchio, and Ivan M Khaymovich · 2019
Closest in time.
Asymmetry in energy versus spin transport in certain interacting disordered systems
Juan Jose Mendoza-Arenas, M Žnidarič, Vipin Kerala Varma, John Goold, Stephen R Clark, and Antonello Scardicchio · 2019
Closest in time.
Slow propagation in some disordered quantum spin chains
B. Nachtergaele and J. Reschke · 2019
Closest in time.