Articles in peer-reviewed journals
|Critical behavior near a smooth inhomogeneity in the planar ising model and conformal invariance|
|Igloi F., Berche B., Turban L.|
|Physical Review Letters 65 (1990) 1773|
|DOI : 10.1103/PhysRevLett.65.1773|
|ArXiv : cond-mat/0106626 [PDF]|
We consider a square-lattice Ising model with a smooth inhomogeneity in the bulk, where the couplings deviate from the bulk critical coupling by Al-1, l being the distance from the center of the inhomogeneity. Scaling exponents describing decay of correlations along the inhomogeneity have been determined exactly by conformal invariance and finite-size scaling. It is shown that the homogeneous model (A = 0) with bulk Ising exponents separates the first-order transition regime (A > 0) from the region of nonuniversal criticality (A < 0).