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Localization Transitions in Non-Hermitian Quantum Mechanics
Open accessAbstract
We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schr\"odinger equation are subjected to a constant imaginary vector potential. A path-integral formulation relates the transition to flux lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that, close to the depinning transition, the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth.
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Citations
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
Non-Hermitian Topological Invariants in Real Space
Song, F., Yao, S., & Wang, Z. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.246801 · Cited by 482
Classification of Exceptional Points and Non-Hermitian Topological Semimetals
Kawabata, K., Bessho, T., & Sato, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.066405 · Cited by 404
Metadata
- Authors
- Hatano, N., & Nelson, D. R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1996-07-15
- Volume
- 77
- Issue
- 3
- Pages
- 570-573
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1973828774
- Cited by
- 1,504
- References
- 0
- FWCI
- 18.48
- Type
- journal article
- Language
- en
- Open access
- green
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- Hatano, N., & Nelson, D. R. (1996). Localization Transitions in Non-Hermitian Quantum Mechanics. Physical Review Letters. https://doi.org/10.1103/physrevlett.77.570
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