Abstract
Abstract We use Monte Carlo to investigate the Berezinskii–Kosterlitz–Thouless transition close to the site percolation threshold in a square lattice. Several thermodynamic quantities are calculated for lattice sizes L × L , from 16 L 640 . Our results are consistent with an infinite order transition for any value of the concentration of magnetic sites. We found that close to the critical percolation concentration, p c (0.592746), the Berezinskii–Kosterlitz–Thouless transition temperature goes to zero as T BKT ∝ ( p − p c ) 0.908 and the specific heat behaves as T s h ∝ p 1.133 .
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