Phase transition of the long range Ising model in lower dimensions, for $d < α\leq d + 1$, with a Peierls' argumentWe extend previous results due to Ding and Zhuang in order to prove that a
phase transition occurs for the long range Ising model in lower dimensions. By
making use of a recent argument due to Affonso, Bissacot and Maia from 2022
which establishes that a phase transition occurs for the long range,
random-field Ising model, from a suggestion of the authors we demonstrate that
a phase transition also occurs for the long range Ising model, from a set of
appropriately defined contours for the long range system, and a Peierls'
argument.
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