Thickness-Dependent Curie Temperatures of Ultrathin Magnetic Films: Effect of the Range of Spin-Spin Interactions
Abstract
We present a simple model of spin-spin coupling which provides insight into the nature of the rapid decrease in the Curie temperature with decreasing thin film thickness $n$ (number of monolayers). The shift of Curie temperature $t(n){\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1\ensuremath{-}T}_{c}(n){/T}_{c}(\ensuremath{\infty})$ follows the usual power law $t(n)\ensuremath{\sim}{n}^{\ensuremath{-}\ensuremath{\lambda}}$ in thin films crossing over to linear behavior $t(n)\ensuremath{\sim}n$ in the ultrathin film thickness limit. Experimental results for ferromagnetic thin films are compared, and shown to follow curves of $t(n)$ with $\ensuremath{\lambda}$ values dependent on the nature of the spin-spin interactions.
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The exact time at which the bandgap appears is difficult to identify, probably because there is no long-range order of iron spins on the surface and differently ordered domains contribute differently gapped signals.
“It is difficult to identify the exact time at which the bandgap appears, probably because there is no long-range order of iron spins on the surface 28,29 , and differently ordered domains will yield differently gapped contributions to the photoemission signal.”
From A topological insulator surface under strong Coulomb, magnetic and disorder perturbations (2011) · cites this paper as [29]
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- Authors
- Zhang, R., & Willis, R. F.
- Affiliations
- Pennsylvania State University (US)
- ORCID
- Zhang, Renjun
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-03-19
- Volume
- 86
- Issue
- 12
- Pages
- 2665-2668
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2092622635
- Cited by
- 271
- References
- 24
- Citations by year
- 2026: 14 · 2025: 9 · 2024: 15 · 2023: 15 · 2022: 11 · 2021: 9 · 2020: 13 · 2019: 12 · 2018: 10 · 2017: 6 · 2016: 10 · 2015: 11 · 2014: 9 · 2013: 8 · 2012: 12
- FWCI
- 6.32
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- APS March Meeting Abstracts
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Magnetic Properties of Alloys
- Keywords
- Curie temperature, ultrathin magnetic films, spin-spin coupling, film thickness dependence, ferromagnetic thin films, power-law scaling, monolayers
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