The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Vortex pinning and non-Hermitian quantum mechanics
Open accessAbstract
A delocalization phenomenon is studied in a class of non-Hermitian random quantum-mechanical problems. Delocalization arises in response to a sufficiently large constant imaginary vector potential. The transition is related to depinning of flux lines from extended defects in type-II superconductors subject to a tilted external magnetic field. The physical meaning of the complex eigenvalues and currents of the non-Hermitian system is elucidated in terms of properties of tilted vortex lines. The singular behavior of the penetration length describing stretched exponential screening of a perpendicular magnetic field (transverse Meissner effect), the surface transverse magnetization, and the trapping length is determined near the flux-line depinning point.
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
Electronic Properties of Doped Semiconductors
Shklovskii, B. I., & Efros, A. L. (1984) · Springer Series in Solid-State Sciences · doi:10.1007/978-3-662-02403-4 · Cited by 5,226
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
Localization Transitions in Non-Hermitian Quantum Mechanics
Hatano, N., & Nelson, D. R. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.570 · Cited by 1,504
Self-citationCivale, L., Marwick, A. D., Worthington, T. K., Kirk, M. A., Thompson, J. R., Krusin-Elbaum, L., Sun, Y., Clem, J. R., & Holtzberg, F. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.648 · Cited by 1,224
Boson localization and correlated pinning of superconducting vortex arrays
Nelson, D. R., & Vinokur, V. M. (1993) · Physical Review B · doi:10.1103/physrevb.48.13060 · Cited by 1,007
Self-citationNumerical studies of localization in disordered systems
Edwards, J. T., & Thouless, D. J. (1972) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/5/8/007 · Cited by 622
Non-Hermitian quantum dynamics
Baker, H. C., & Singleton, R. L. (1990) · Physical Review A · doi:10.1103/physreva.42.10 · Cited by 341
Conductivity and mobility edges for two-dimensional disordered systems
Licciardello, D. C., & Thouless, D. J. (1975) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/8/24/009 · Cited by 207
Kim, D. (1995) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.52.3512 · Cited by 200
Flux-line pinning by competing disorders
Hwa, T., Nelson, D. R., & Vinokur, V. M. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.1167 · Cited by 107
Self-citation
Cited by
(1998) · doi:10.1103/physrevlett.80.5243 · Cited by 6,280
Making sense of non-Hermitian Hamiltonians
Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
Exceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
𝓟𝓣-symmetric quantum mechanics
Bender, C. M., Boettcher, S., & Meisinger, P. N. (1999) · Journal of Mathematical Physics · doi:10.1063/1.532860 · Cited by 1,373
Symmetry and Topology in Non-Hermitian Physics
Kawabata, K., Shiozaki, K., Ueda, M., & Sato, M. (2019) · Physical Review X · doi:10.1103/physrevx.9.041015 · Cited by 1,357
Metadata
- Authors
- Hatano, N., & Nelson, D. R.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1997-10-01
- Volume
- 56
- Issue
- 14
- Pages
- 8651-8673
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1991497094
- Cited by
- 656
- References
- 15
- FWCI
- 12.53
- 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: Vortex pinning and non-Hermitian quantum mechanics. https://app.cochat.ai/papers/10.1103/physrevb.56.8651
- The paper
- Hatano, N., & Nelson, D. R. (1997). Vortex pinning and non-Hermitian quantum mechanics. Physical Review B. https://doi.org/10.1103/physrevb.56.8651
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.