1995/10/27 by Murray T. Batchelor, M. T. Batchelor, Yu-Sen Zhou +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Theoretical and Computational Physics #cond-mat #hep-th
paper · pdf · doi:10.1103/physrevlett.76.14
published as Phys.Rev.Lett.76:14-17,1996; Erratum-ibid.76:2826,1996 · 12 pages, LaTeX with REVTEX macros needed. To appear in Physical Review Letters
arxiv created 1995/10/27 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 \ensuremathαs\phantom\rule0ex0ex=\phantom\rule0ex0ex2\ensuremath-\ensuremathπ/2\ensuremathμ and \ensuremathα1\phantom\rule0ex0ex=\phantom\rule0ex0ex1\ensuremath-\ensuremathπ/\ensuremathμ, where \ensuremathμ controls the strength of the four-spin interaction. These values reduce to the known Ising exponents at the decoupling point \ensuremathμ\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathπ/2 and confirm the scaling relations \ensuremathαs\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathαb+\ensuremathν and \ensuremathα1\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathαb\ensuremath-1.