Boundary effects on finite-size scaling for the 5-dimensional Ising model

High-dimensional (d≥5) Ising systems have mean-field critical exponents. However, at the critical temperature the finite-size scaling of the susceptibility χ depends on the boundary conditions. A system with periodic boundary conditions then has χ∝L5/2. Deleting the 5L4 boundary edges we receive a system with free boundary conditions and now χ∝L2. In the present work we find that deleting the L4 boundary edges along just one direction is enough to have the scaling χ∝L2. It also appears that deleting L3 boundary edges results in an intermediate scaling, here estimated to χ∝L2.275. We also study how the energy and magnetisation distributions change when deleting boundary edges.