Abstract
We study the localization transitions which arise in both one and two\ndimensions when quantum mechanical particles described by a random\nSchr\\"odinger equation are subjected to a constant imaginary vector potential.\nA path-integral formulation relates the transition to flux lines depinned from\ncolumnar defects by a transverse magnetic field in superconductors. The theory\npredicts that the transverse Meissner effect is accompanied by stretched\nexponential relaxation of the field into the bulk and a diverging penetration\ndepth at the transition.\n
Keywords
PhysicsCondensed matter physicsMeissner effectSuperconductivityVector potentialPath integral formulationMagnetic fieldQuantumLondon penetration depthTransverse planeHermitian matrixQuantum mechanicsMagnetic fluxClassical mechanics
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Publication Info
- Year
- 1996
- Type
- article
- Volume
- 77
- Issue
- 3
- Pages
- 570-573
- Citations
- 1390
- Access
- Closed
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Cite This
Naomichi Hatano,
David R. Nelson
(1996).
Localization Transitions in Non-Hermitian Quantum Mechanics.
Physical Review Letters
, 77
(3)
, 570-573.
https://doi.org/10.1103/physrevlett.77.570
Identifiers
- DOI
- 10.1103/physrevlett.77.570