The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
New class of level statistics in quantum systems with unbounded diffusion
Abstract
We point out a new class of level statistics where the level-spacing distribution follows an inverse power law p(s)\ensuremath{\sim}${\mathit{s}}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{\beta}}}$, with \ensuremath{\beta}=3/2. It is characteristic of level clustering rather than level repulsion and appears to be universal for systems exhibiting unbounded quantum diffusion on 1D lattices. A relaxation of this class is met in a model of Bloch electorns in a magnetic field, where we find a purely diffusive spread of wave packets without the quantum limitations known from chaotic systems like the kicked rotator.
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Citations
Cites
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Cited by
Observation of a Localization Transition in Quasiperiodic Photonic Lattices
Lahini, Y., Pugatch, R., Pozzi, F., Sorel, M., Morandotti, R., Davidson, N., & Silberberg, Y. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.013901 · Cited by 473
Magnetoresistance due to chaos and nonlinear resonances in lateral surface superlattices
Fleischmann, R., Geisel, T., & Ketzmerick, R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.1367 · Cited by 344
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Metadata
- Authors
- Geisel, T., Ketzmerick, R., & Petschel, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1991-04-01
- Volume
- 66
- Issue
- 13
- Pages
- 1651-1654
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1964379942
- Cited by
- 201
- References
- 1
- FWCI
- 8.65
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: New class of level statistics in quantum systems with unbounded diffusion. https://app.cochat.ai/papers/10.1103/physrevlett.66.1651
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- Geisel, T., Ketzmerick, R., & Petschel, G. (1991). New class of level statistics in quantum systems with unbounded diffusion. Physical Review Letters. https://doi.org/10.1103/physrevlett.66.1651
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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