The Lorentz-invariance-violating Weyl and Dirac fermions have recently attracted intensive interests as new types of particles beyond high-energy physics, and they demonstrate novel physical phenomena such as angle-dependent chiral anomaly and topological Lifshitz transition. Here we predict the existence of Lorentz-invariance-violating Dirac fermions in the YPd2Sn class of Heusler alloys that emerge at the boundary between the electron-like and hole-like pockets in the Brillouin zone, based on the first-principles electronic structure calculations. In combination with the fact that this class of materials was all reported to be superconductors, the YPd2Sn class provides an appropriate platform for studying exotic physical properties distinguished from conventional Dirac fermions, especially for realizing possible topological superconductivity.
@article{arxiv.1612.07456,
title = {Type-II Dirac semimetals in the YPd$_2$Sn class},
author = {Peng-Jie Guo and Huan-Cheng Yang and Kai Liu and Zhong-Yi Lu},
journal= {arXiv preprint arXiv:1612.07456},
year = {2017}
}