Delta link homotopy for two component links

In this note, we will study Δ link homotopy (or self Δ-equivalence), which is an equivalence relation of ordered and oriented link types. We will give a necessary condition in the terms of Conway polynomials for two link types to be Δ link homotopic. As an application, we will classify (ordered and oriented) prime two-component link types with seven crossings or less up to Δ link homotopy.