Hybrid Dispersion Dirac Semimetal and Hybrid Weyl Phases in Luttinger Semimetals: A Dynamical Approach. Issue 2 (4th November 2019) - Ghorashi, Sayed Ali Akbar
Abstract: It is shown that hybrid Dirac and Weyl semimetals can be realized in a 3D Luttinger semimetal with quadratic band touching (QBT). This is illustrated using a periodic kicking scheme. In particular, the focus is on a momentum‐dependent driving (nonuniform driving) and the realization of various hybrid Dirac and Weyl semimetals is demonstrated. A unique hybrid dispersion Dirac semimetal with two nodes is identified, where one of the nodes is linear while the other is dispersed quadratically. Next, it is shown that by tilting QBT via periodic driving and in the presence of an external magnetic field, one can realize various single/double hybrid Weyl semimetals depending on the strength of external field. Finally, it is noted that in principle, phases that are found in this work can also be realized by employing the appropriate electronic interactions. Abstract : The realization of various hybrid Dirac and Weyl phases in a 3D Luttinger semimetal with quadratic band touching (QBT) is investigated. Employing two examples of nonuniform periodic kicking, a dynamical way to realize a unique hybrid dispersion Dirac semimetal with coexisting linear and quadratic nodes is proposed. Next, by tilting QBT in presence of an external magnetic field different single/double hybrid Weyl semimetals are realized.