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  • $\begingroup$ Δ3p is not Real; you can plot the real part using ParametricPlot[ Re@{\[Epsilon], \[CapitalDelta]3p}, {\[Epsilon], 0, 0.05}, PlotRange -> All, PlotPoints -> 10^4, Exclusions -> None]. $\endgroup$ Commented Sep 27, 2018 at 2:44
  • $\begingroup$ Why not use ContourPlot[]? With[{Γ = 1/10}, ContourPlot[Γ^4 Δ^2 + 16 (Δ^2 + ϵ^2)^3 + Γ^2 (8 Δ^4 - 20 Δ^2 ϵ^2 - ϵ^4) == 0, {ϵ, 0, 3/100}, {Δ, -1/100, 1/100}, PlotPoints -> 95]] $\endgroup$ Commented Sep 27, 2018 at 2:49