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Title: A stabilization mechanism for many-body localization in two dimensions
Authors: Foo, Darryl C. W.
Swain, Nyayabanta
Sengupta, Pinaki
Lemarié, Gabriel
Adam, Shaffique
Keywords: Science::Physics
Issue Date: 2023
Source: Foo, D. C. W., Swain, N., Sengupta, P., Lemarié, G. & Adam, S. (2023). A stabilization mechanism for many-body localization in two dimensions. Physical Review Research, 5(3), L032011-1-L032011-6.
Project: MOE2017-T2-1-130 
WBS No. R-144- 000-437-114 
Journal: Physical Review Research 
Abstract: Experiments in cold atom systems see almost identical signatures of many body localization (MBL) in both one-dimensional ($d=1$) and two-dimensional ($d=2$) systems despite the thermal avalanche hypothesis showing that the MBL phase is unstable for $d>1$. Underpinning the thermal avalanche argument is the assumption of exponential localization of local integrals of motion (LIOMs). In this work we demonstrate that addition of a confining potential -- as is typical in experimental setups -- allows a non-interacting disordered system to have super-exponentially (Gaussian) localized wavefunctions, and an interacting disordered system to undergo a localization transition. Moreover, we show that Gaussian localization of MBL LIOMs shifts the quantum avalanche critical dimension from $d=1$ to $d=2$, potentially bridging the divide between the experimental demonstrations of MBL in these systems and existing theoretical arguments that claim that such demonstrations are impossible.
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.5.L032011
Schools: School of Physical and Mathematical Sciences 
Organisations: Centre for Advanced 2D Materials, NUS 
Centre for Quantum Technologies, NUS 
Research Centres: MajuLab, International Joint Research Unit, IRL 3654, CNRS, Université Côte d'Azur, Sorbonne Université, National University of Singapore, Nanyang Technological University
Rights: © The Authors. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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