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We propose a different route to time-reversal invariant Weyl semimetalsemploying multilayer heterostructures comprising ordinary "trivial" insulatorsand nontrivial insulators with \textit{pairs} of protected Dirac cones on thesurface. We consider both the case of weak topological insualtors, wheresurface Dirac cones are pinned to time-reversal invariant momenta, and oftopological crystalline insulators with unpinned surface Dirac cones. For bothrealizations we explain phenomenologically how the proposed construction leadsto the emergence of a Weyl semimetal phase. We further formulate effectivelow-energy models for which we prove the existence of semimetallic phases withfour isolated Weyl points. Finally, we discuss how the proposed design can berealized experimentally with state-of-the-art technologies.

Synthesizing Weyl semimetals in weak topological insulator and topological crystalline insulator multilayers