2000/05/17 by Ian Affleck · 2 citations
Mathematics · Physics and Astronomy · #Artificial intelligence #Computer science #Condensed matter physics #Critical phenomena #Enhanced Data Rates for GSM Evolution #Ising model #Phase transition #Physics #Quantum many-body systems #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/0305-4470/33/37/301
published as J.Phys.A33:6473-6480,2000 · 6 pages, RevTex, 3 postscript figures
arxiv created 2000/05/17 · openalex publication_date 2000/09/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the two-dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling constant. A boundary tri-critical point separates phases where the spins on the boundary are ordered or disordered. In the latter range of coupling constant, there is a non-zero critical field where the magnetization is singular. In the former range, as the temperature is lowered, the boundary undergoes a first-order transition while the bulk simultaneously undergoes a second-order transition.