Surface Critical Phenomena and Scaling in the Eight-Vertex Model
| dc.creator | Batchelor, M. T. | |
| dc.creator | Zhou, Y. K. | |
| dc.date | 1995-10-27 | |
| dc.date.accessioned | 2026-07-07T12:33:09Z | |
| dc.date.available | 2026-07-07T12:33:09Z | |
| dc.description | We give a physical interpretation of the entries of the reflection $K$-matrices of Baxter's eight-vertex model in terms of an Ising interaction at an open boundary. Although the model still defies an exact solution we nevertheless obtain the exact surface free energy from a crossing-unitarity relation. The singular part of the surface energy is described by the critical exponents $α_s = 2 - \fracπ{2μ}$ and $α_1 = 1 - \fracπμ$, where $μ$ controls the strength of the four-spin interaction. These values reduce to the known Ising exponents at the decoupling point $μ=π/2$ and confirm the scaling relations $α_s = α_b + ν$ and $α_1 = α_b -1$. | |
| dc.description | 12 pages, LaTeX with REVTEX macros needed. To appear in Physical Review Letters | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9510152 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9510152 | |
| dc.identifier | Phys.Rev.Lett.76:14-17,1996; Erratum-ibid.76:2826,1996 | |
| dc.identifier | doi:10.1103/PhysRevLett.76.14 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217026 | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Surface Critical Phenomena and Scaling in the Eight-Vertex Model | |
| dc.type | text |