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 chi depends on the boundary conditions. A system with periodic boundary conditions then has chi proportional to L-5/2. Deleting the 5L(4) boundary edges we receive a system with free boundary conditions and now chi proportional to L-2. In the present work we find that deleting the L-4 boundary edges along just one direction is enough to have the scaling chi proportional to L-2. It also appears that deleting L-3 boundary edges results in an intermediate scaling, here estimated to chi proportional to L-2.275. We also study how the energy and magnetisation distributions change when deleting boundary edges. (C) 2021 The Author. Published by Elsevier B.V.