“…To this end, given θ ε → 0 , we find the relevant scaling κ ε and we study the Γ -limit of 1 κε E ε . The limit strongly depends on the rate of convergence θ ε → 0 and can be characterized by interfacial-type singularities [23,2,21,27,8,17,20,24,12] (see also [18,5]) or vortex-like singularities [38,4,6,7,19,14,3], possibly coexisting. In this paper we are interested in the following regimes: ε| log ε| θ ε , θ ε ∼ ε| log ε|, and θ ε ε .…”