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Scaling Theory for Finite-Size Effects in the Critical Region
Abstract
Critical phenomena in films of finite thickness are considered. A detailed scaling theory, with allowance for distinct exponents $\ensuremath{\lambda}$ and $\ensuremath{\theta}=\frac{1}{\ensuremath{\nu}}$ for the critical-point shift and rounding, respectively, is confirmed by exact calculations on $d$-dimensional ferromagnetic spherical models and ideal Bose fluids with various boundary conditions. Isingmodel results and existing data on real helium films are consistent with the theory.
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Citations
Cited by
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Sun, C. Q. (2007) · Progress in Solid State Chemistry · doi:10.1016/j.progsolidstchem.2006.03.001 · Cited by 873
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Daoud, M., & De Gennes, P. G. (1977) · Journal de Physique · doi:10.1051/jphys:0197700380108500 · Cited by 561
Experimental Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves
Chabé, J., Lemarié, G., Grémaud, B., Delande, D., Szriftgiser, P., & Garreau, J. C. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.255702 · Cited by 477
Hard magnetic properties in nanoflake van der Waals Fe3GeTe2
Tan, C., Lee, J., Jung, S.-G., Park, T., Albarakati, S., Partridge, J., Field, M. R., McCulloch, D. G., Wang, L., & Lee, C. (2018) · Nature Communications · doi:10.1038/s41467-018-04018-w · Cited by 426
Onset of a quantum phase transition with a trapped ion quantum simulator
Islam, R., Edwards, E. E., Kim, K., Korenblit, S., Noh, C., Carmichael, H., Lin, G.-D., Duan, L.-M., Joseph Wang, C.-C., Freericks, J. K., et al. (2011) · Nature Communications · doi:10.1038/ncomms1374 · Cited by 411
Metadata
- Authors
- Fisher, M. E., & Barber, M. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1972-06-05
- Volume
- 28
- Issue
- 23
- Pages
- 1516-1519
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2032367804
- Cited by
- 1,512
- References
- 0
- FWCI
- 10.06
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fisher, M. E., & Barber, M. N. (1972). Scaling Theory for Finite-Size Effects in the Critical Region. Physical Review Letters. https://doi.org/10.1103/physrevlett.28.1516
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
