Critical and thermodynamic properties of the randomly dilute Ising model
Abstract
The randomly bonddilute twodimensional nearestneighbor Ising model on the square lattice is studied by renormalizationgroup methods based on the MigdalKadanoff approximate recursion relations. Calculations give both thermal and magnetic exponents associated with the percolative fixed point. Differential recursion relations yield a phase diagram which is in quantitative agreement with all known results. Curves for the specific heat, percolation probability, and magnetization are displayed. The critical region of the specific heat becomes unobservably narrow well above the percolation threshold p_{c}. This provides a possible explanation for the apparent specificheat rounding in certain experiments.
 Publication:

Physical Review B
 Pub Date:
 September 1978
 DOI:
 10.1103/PhysRevB.18.2244
 Bibcode:
 1978PhRvB..18.2244J