Monte Carlo study of surface critical phenomena: the special point
We study the special point in the phase diagram of a semi-infinite system where the bulk transition is in the three-dimensional Ising universality class. To this end we performed a finite-size-scaling study of the improved Blume-Capel model on the simple cubic lattice with two different types of sur...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
7 October 2011
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2011, Volume: 84, Issue: 13, Pages: 1-11 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.84.134405 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.84.134405 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.84.134405 
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| Author Notes: | Martin Hasenbusch |
| Summary: | We study the special point in the phase diagram of a semi-infinite system where the bulk transition is in the three-dimensional Ising universality class. To this end we performed a finite-size-scaling study of the improved Blume-Capel model on the simple cubic lattice with two different types of surface interaction. In order to check for the effect of leading bulk corrections we also simulated the spin-1/2 Ising model on the simple cubic lattice. We accurately estimated the surface enhancement coupling at the special point of these models. We find yt1=0.718(2) and yh1=1.6465(6) for the surface renormalization group exponents of the special transition. These results are compared with previous ones obtained by using field-theoretic methods and Monte Carlo simulations of the spin-1/2 Ising model. Furthermore, we study the behavior of the surface transition near the special point, and finally we discuss films with special boundary conditions at one surface and fixed ones at the other. |
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| Item Description: | Gesehen am 14.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.84.134405 |