We define the e1^a e3^a -isotropic Smarandache curves of type-1 and type-2, the e1^a e2^a e3^a -isotropic Smarandache curve, and e1^a e2^a e4^a-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space C⁴ and give some differential geometric properties of these Samarandache curves.