Edge Critical Behaviour of the 2-Dimensional Tri-critical Ising Model

Details Edge Critical Behaviour of the 2-Dimensional Tri-critical Ising Model Edge Critical Behaviour of the 2-Dimensional Tri-critical Ising Model

2000-05-17

arxiv.org/abs/cond-mat/0005286v1

J.Phys.A33:6473-6480,2000

Physics

Condensed Matter

Statistical Mechanics

6 pages, RevTex, 3 postscript figures

Scientific paper

10.1088/0305-4470/33/37/301

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 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.

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