Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials

Type: Article

Publication Date: 2019-08-16

Citations: 124

DOI: https://doi.org/10.1103/physrevlett.123.070405

Locations

  • Physical Review Letters - View
  • arXiv (Cornell University) - View - PDF
  • HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
  • PubMed - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Avalanche stability transition in interacting quasiperiodic systems 2023 Yi-Ting Tu
DinhDuy Vu
S. Das Sarma
+ Avalanche stability transition in interacting quasiperiodic systems 2022 Yi-Ting Tu
DinhDuy Vu
S. Das Sarma
+ PDF Chat Localization in quasiperiodic chains: A theory based on convergence of local propagators 2021 Alexander Duthie
Sthitadhi Roy
David E. Logan
+ PDF Chat Many-body localization crossover is sharper in quasiperiodic spin chains 2024 P. R. N. Falcão
Adith Sai Aramthottil
Piotr Sierant
Jakub Zakrzewski
+ Localization in One-Dimensional Quasiperiodic Systems 1990 Hisashi Hiramoto
+ PDF Chat Quasiperiodic many-body localization transition in dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>d</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> 2022 Utkarsh Agrawal
Romain Vasseur
Sarang Gopalakrishnan
+ PDF Chat Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials 2020 Xiao Li
S. Das Sarma
+ Localization in ultracold-atom quasiperiodic models 2023 Laurent Sanchez-Palencia
+ PDF Chat Critical analysis of the reentrant localization transition in a one-dimensional dimerized quasiperiodic lattice 2022 Shilpi Roy
Sourav Chattopadhyay
Tapan Mishra
Saurabh Basu
+ Can we observe the many-body localization? 2021 Piotr Sierant
Jakub Zakrzewski
+ PDF Chat Many-body localization in a quasiperiodic system 2013 Shankar Iyer
Vadim Oganesyan
Gil Refael
David A. Huse
+ PDF Chat Challenges to observation of many-body localization 2022 Piotr Sierant
Jakub Zakrzewski
+ Localization for Quasiperiodic Potentials 2006 Svetlana Jitomirskaya
+ Localization for random and quasiperiodic potentials 1988 Thomas Spencer
+ Interaction instability of localization in quasiperiodic systems 2018 Marko Žnidarič
Marko Ljubotina
+ PDF Chat Mobility edge in long-range interacting many-body localized systems 2023 Rozhin Yousefjani
Abolfazl Bayat
+ Localization in a Quasi-Periodic One Dimensional System 2009 John Biddle
Donald Priour
S. Das Sarma
+ PDF Chat Duality in Power-Law Localization in Disordered One-Dimensional Systems 2018 Xiaolong Deng
V. E. Kravtsov
G. V. Shlyapnikov
L. Santos
+ Algebraic localization in disordered one-dimensional systems with long-range hopping 2017 Xiaolong Deng
V. E. Kravtsov
G. V. Shlyapnikov
L. Santos
+ Mobility edge in long-range interacting many-body localized systems 2022 Rozhin Yousefjani
Abolfazl Bayat

Works That Cite This (91)

Action Title Year Authors
+ PDF Chat Hidden dualities in 1D quasiperiodic lattice models 2022 Miguel Gonçalves
Bruno Amorim
Eduardo V. Castro
Pedro Ribeiro
+ PDF Chat Exact New Mobility Edges between Critical and Localized States 2023 Xin-Chi Zhou
Yongjian Wang
Ting-Fung Jeffrey Poon
Qi Zhou
Xiongjun Liu
+ PDF Chat Anderson localization transition in a robust <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math> -symmetric phase of a generalized Aubry-André model 2021 Sebastian Schiffer
Xia-Ji Liu
Hui Hu
Jia Wang
+ PDF Chat Interactions and Mobility Edges: Observing the Generalized Aubry-André Model 2021 Fangzhao Alex An
Karmela Padavić
Η. Meier
Suraj Hegde
Sriram Ganeshan
J. H. Pixley
Smitha Vishveshwara
Bryce Gadway
+ PDF Chat Many-body localization in the Bose-Hubbard model: Evidence for mobility edge 2020 Ruixiao Yao
Jakub Zakrzewski
+ PDF Chat Localization of ultracold atoms in Zeeman lattices with incommensurate spin-orbit coupling 2022 Dmitry A. Zezyulin
V. V. Konotop
+ PDF Chat Effects of forward disorder on quasi-one-dimensional superconductors 2024 G. Morpurgo
Thierry Giamarchi
+ PDF Chat Anomalous mobility edges in one-dimensional quasiperiodic models 2022 Tong Liu
X. C. Xia
Stefano Longhi
Laurent Sanchez-Palencia
+ PDF Chat Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation 2022 Joana Fraxanet
Utso Bhattacharya
Tobias Graß
Maciej Lewenstein
Alexandre Dauphin
+ PDF Chat Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes 2020 Hepeng Yao
Thierry Giamarchi
Laurent Sanchez-Palencia

Works Cited by This (38)

Action Title Year Authors
+ PDF Chat Fermi-Bose Quantum Degenerate<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn mathvariant="normal">40</mml:mn></mml:mmultiscripts><mml:mtext mathvariant="normal">−</mml:mtext><mml:mmultiscripts><mml:mi mathvariant="normal">R</mml:mi><mml:mprescripts /><mml:none /><mml:mn mathvariant="normal">87</mml:mn></mml:mmultiscripts><mml:mi mathvariant="normal">b</mml:mi></mml:math>… 2002 G. Roati
Francesco Riboli
Giovanni Carlo Modugno
M. Inguscio
+ Proposed Experimental Realization of Anderson Localization in Random and Incommensurate Artificially Layered Systems 1986 S. Das Sarma
Akiko Kobayashi
R. E. Prange
+ PDF Chat Observation of a Disordered Bosonic Insulator from Weak to Strong Interactions 2014 Chiara D’Errico
E. Lucioni
Luca Tanzi
Lorenzo Gori
Guillaume Roux
Ian P. McCulloch
Thierry Giamarchi
M. Inguscio
Giovanni Carlo Modugno
+ PDF Chat Nearest Neighbor Tight Binding Models with an Exact Mobility Edge in One Dimension 2015 Sriram Ganeshan
J. H. Pixley
S. Das Sarma
+ PDF Chat Localization in one-dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models 2011 John Biddle
Donald Priour
B. Wang
S. Das Sarma
+ PDF Chat Atomic Bose and Anderson Glasses in Optical Lattices 2003 Bogdan Damski
Jakub Zakrzewski
L. Santos
P. Zoller
Maciej Lewenstein
+ PDF Chat Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate 2007 Pierre Lugan
David Clément
Philippe Bouyer
Alain Aspect
Maciej Lewenstein
Laurent Sanchez-Palencia
+ PDF Chat Bosons in one-dimensional incommensurate superlattices 2008 Tommaso Roscilde
+ PDF Chat Localization in one-dimensional incommensurate lattices beyond the Aubry-André model 2009 John Biddle
B. Wang
Donald Priour
S. Das Sarma
+ PDF Chat Bose-Einstein condensates in optical quasicrystal lattices 2005 Laurent Sanchez-Palencia
L. Santos