We give a construction of a new class of localized nodal solutions for the following semiclassical nonlinear Schrödinger equation \(-\varepsilon^{2}\Delta v+V(x)v=\vert v\vert^{p-2}v,\qquad v\in H^{1}(\mathbb{R}^{N}).\) The nonlinearity is assumed to be subcritical and the bounded positive potential function V is assumed to have two distinct local minimum sets. The multi-peaked nodal solutions constructed demonstrate a concentration behavior that all positive peaks concentrate around one local minimum set and all negative peaks concentrate around the other minimum set. These solutions are given by higher dimensional linking structures from the symmetric mountain pass theory in the presence of invariant sets of an associated pseudogradient flow for a penalized variational formulation.
