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20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

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15 papers · 1 filter

cond-mat.dis-nn2021★ 3 cited

Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point

Joey Li, Amos Chan, Thorsten B. Wahl

While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current de…

cond-mat.dis-nn2020★ 150 cited

Skin effect and winding number in disordered non-Hermitian systems

Jahan Claes, Taylor L. Hughes

Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an exponential sensitivity to boundary conditions and an extensive number of edge-localized states in sy…

cond-mat.dis-nn2020★ 31 cited

Numerical evidence for many-body localization in two and three dimensions

Eli Chertkov, Benjamin Villalonga, Bryan K. Clark

Disorder and interactions can lead to the breakdown of statistical mechanics in certain quantum systems, a phenomenon known as many-body localization (MBL). Much of the phenomenolo…

cond-mat.dis-nn2019★ 24 cited

Disorder driven phase transitions in weak AIII topological insulators

Jahan Claes, Taylor Hughes

The tenfold classification of topological phases enumerates all strong topological phases for both clean and disordered systems. These strong topological phases are connected to th…

cond-mat.dis-nn2019★ 13 cited

Classification of symmetry-protected topological phases in two-dimensional many body-localized systems

Joey Li, Amos Chan, Thorsten B. Wahl

We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-…

cond-mat.dis-nn2018★ 177 cited

Backflow Transformations via Neural Networks for Quantum Many-Body Wave-Functions

Di Luo, Bryan K. Clark

Obtaining an accurate ground state wave function is one of the great challenges in the quantum many-body problem. In this paper, we propose a new class of wave functions, neural ne…

cond-mat.dis-nn2018★ 15 cited

Beyond many-body localized states in a spin-disordered Hubbard model with pseudo-spin symmetry

Xiongjie Yu, Di Luo, Bryan K. Clark

A prime characterization of many-body localized (MBL) systems is the entanglement of their eigenstates; in contrast to the typical ergodic phase whose eigenstates are volume law, M…

cond-mat.dis-nn2017★ 35 cited

Exploring one particle orbitals in large Many-Body Localized systems

Benjamin Villalonga, Xiongjie Yu, David J. Luitz +1

Strong disorder in interacting quantum systems can give rise to the phenomenon of Many-Body Localization (MBL), which defies thermalization due to the formation of an extensive num…

cond-mat.dis-nn2017★ 174 cited

Information propagation in isolated quantum systems

David J. Luitz, Yevgeny Bar Lev

Entanglement growth and out-of-time-order correlators (OTOC) are used to assess the propagation of information in isolated quantum systems. In this work, using large scale exact ti…

cond-mat.dis-nn2016★ 308 cited

The Ergodic Side of the Many-Body Localization Transition

David J. Luitz, Yevgeny Bar Lev

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many-body localization (MBL), which shows subexponential relaxation of local observables, subd…

cond-mat.dis-nn2016★ 121 cited

Long tail distributions near the many body localization transition

David J. Luitz

The random field S=1/2 Heisenberg chain exhibits a dynamical many body localization transition at a critical disorder strength, which depends on the energy density. At weak disorde…

cond-mat.dis-nn2015★ 320 cited

Extended slow dynamical regime close to the many-body localization transition

David J. Luitz, Nicolas Laflorencie, Fabien Alet

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalanc…

cond-mat.dis-nn2015★ 20 cited

Many-body Localization Transition in Rokhsar-Kivelson-type wave functions

Xiao Chen, Xiongjie Yu, Gil Young Cho +2

We construct a family of many-body wave functions to study the many-body localization phase transition. The wave functions have a Rokhsar-Kivelson form, in which the weight for the…

cond-mat.dis-nn2015★ 67 cited

Many-body mobility edge due to symmetry-constrained dynamics and strong interactions

Ian Mondragon-Shem, Arijeet Pal, Taylor L. Hughes +1

We provide numerical evidence combined with an analytical understanding of the many-body mobility edge for the strongly anisotropic spin-1/2 XXZ model in a random magnetic field. T…

cond-mat.dis-nn2008★ 23 cited

Soft random solids and their heterogeneous elasticity

Xiaoming Mao, Paul M. Goldbart, Xiangjun Xing +1

Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the \emph{structure} of soft random solids…