Abstract
A delocalization phenomenon is studied in a class of non-Hermitian random\nquantum-mechanical problems. Delocalization arises in response to a\nsufficiently large constant imaginary vector potential. The transition is\nrelated to depinning of flux lines from extended defects in type-II\nsuperconductors subject to a tilted external magnetic field. The physical\nmeaning of the complex eigenvalues and currents of the non-Hermitian system is\nelucidated in terms of properties of tilted vortex lines. The singular behavior\nof the penetration length describing stretched exponential screening of a\nperpendicular magnetic field (transverse Meissner effect), the surface\ntransverse magnetization, and the trapping length are determined near the\nflux-line depinning point.\n
Keywords
Condensed matter physicsPhysicsMagnetic fluxMagnetic fieldLondon penetration depthQuantum mechanicsType-II superconductorVortexMeissner effectQuantumMagnetizationVector potentialSuperconductivityClassical mechanicsMechanics
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Publication Info
- Year
- 1997
- Type
- article
- Volume
- 56
- Issue
- 14
- Pages
- 8651-8673
- Citations
- 629
- Access
- Closed
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Cite This
Naomichi Hatano,
David R. Nelson
(1997).
Vortex pinning and non-Hermitian quantum mechanics.
Physical review. B, Condensed matter
, 56
(14)
, 8651-8673.
https://doi.org/10.1103/physrevb.56.8651
Identifiers
- DOI
- 10.1103/physrevb.56.8651