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Realization of conically linear dispersion, termed as Dirac cones, hasrecently opened up exciting opportunities for high-performance devices thatmake use of the peculiar transport properties of the massless carriers. A goodexample of current fashion is the heavily studied graphene, a single atomiclayered graphite. It not only offers a prototype of Dirac physics in the fieldof condensed matter and materials science, but also provides a playground ofvarious exotic phenomena. In the meantime, numerous routes have been attemptedto search for the next "graphene". Despite these efforts, to date there isstill no simple guideline to predict and engineer such massless particles inmaterials. Here, we propose a theoretical recipe to create Dirac cones intoanyone's favorite materials. The method allows to tailor the properties, suchas anisotropy and quantity, in any effective one-band two-dimensional lattice.We demonstrate the validity of our theory with two examples on the squarelattice, an "unlikely" candidate hosting Dirac cones, and show that agraphene-like low-energy electronic structure can be realized. The proposedrecipe can be applied in real materials via introduction of vacancy,substitution or intercalation, and also extended to photonic crystal, moleculararray, and cold atoms systems.

Create Dirac Cones in Your Favorite Materials