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Cited by 656

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 access
Hatano, Naomichi, Nelson, David R.·1997·Physical Review B

Abstract

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.

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Crossref · 10.1103/physrevb.56.8651

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Metadata

Authors
Hatano, N., & Nelson, D. R.
Venue
Physical Review B
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

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CoChat. (2026). Citation check: Vortex pinning and non-Hermitian quantum mechanics. https://app.cochat.ai/papers/10.1103/physrevb.56.8651
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Hatano, N., & Nelson, D. R. (1997). Vortex pinning and non-Hermitian quantum mechanics. Physical Review B. https://doi.org/10.1103/physrevb.56.8651

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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.