The DOI matches its Crossref record; 184 of the 184 references it cites were found in a registry or an index.
The ergodic side of the many‐body localization transition
Open accessAbstract
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the entanglement entropy. Here we review the dynamical properties of this phase and the available numerically exact and approximate methods for its study. We discuss in which sense this phase could be considered ergodic and present possible phenomenological explanations of its dynamical properties. We close by analyzing to which extent the proposed explanations were verified by numerical studies and present the open questions in this field. image
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Kubo, R. (1957) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.12.570 · Cited by 9,441
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Metzler, R., & Klafter, J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00070-3 · Cited by 9,026
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Thermalization and its mechanism for generic isolated quantum systems
Rigol, M., Dunjko, V., & Olshanii, M. (2008) · Nature · doi:10.1038/nature06838 · Cited by 3,065
Quantum statistical mechanics in a closed system
Deutsch, J. M. (1991) · Physical Review A · doi:10.1103/physreva.43.2046 · Cited by 2,860
�ber das Paulische �quivalenzverbot
Jordan, P., & Wigner, E. (1928) · Zeitschrift f�r Physik · doi:10.1007/bf01331938 · Cited by 2,597
Cited by
Parallel time-dependent variational principle algorithm for matrix product states
Secular, P., Gourianov, N., Lubasch, M., Dolgov, S., Clark, S. R., & Jaksch, D. (2020) · Physical Review B · doi:10.1103/physrevb.101.235123 · Cited by 40
Metadata
- Authors
- Luitz, D. J., & Lev, Y. B.
- Venue
- Annalen der Physik
- Publisher
- Wiley
- Published
- 2017-05-15
- Volume
- 529
- Issue
- 7
- ISSN
- 0003-3804 (ISSN-L)
- 1521-3889
- OpenAlex
- W2546285117
- Cited by
- 308
- References
- 184
- FWCI
- 20.36
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The ergodic side of the many‐body localization transition. https://app.cochat.ai/papers/10.1002/andp.201600350
- The paper
- Luitz, D. J., & Lev, Y. B. (2017). The ergodic side of the many‐body localization transition. Annalen der Physik. https://doi.org/10.1002/andp.201600350
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.