LAUSR

One-dimensional edges of classical systems in two dimension sometimes show surprisingly rich phase transitions and critical phenomena, especially when the bulk is at criticality. As such a model, we study the surface critical behavior of the 3-state dilute Potts model whose bulk is tuned at the tricritical point, employing both of the analytical and numerical ways. We not only classify the possible boundary fixed points by boundary conformal field theory (BCFT) of the tricritical 3-state Potts model, but also perform numerical computation with the tensor network renormalization method to study the surface phase diagram of this model precisely. Our BCFT analysis discovers the twelve boundary fixed points, the eleven of which we numerically confirm can be realized on the lattice by controlling the external field and coupling strength at the boundary, while the last unfound fixed point would be out of the physically sound region in the parameter space, similarly to the `new' boundary condition in the 3-state Potts BCFT.