科研之友
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摘要
In the absence of Lorentz symmetry, the pseudospin-1 counterpart of the Weyl fermion (feroton) with linear dispersions and an exact flat band can emerge in condensed matter systems. The flat band branch of the feroton is equivalent to the longitudinal photon in Maxwell theory, which is a redundant degree of freedom due to the emergent (fermionic) gauge symmetry. Upon coupling to an external magnetic field, the fermionic gauge symmetry is broken and the flat band ferotons become gapless excitations characterized by Landau level indices (n > 1). In the long wavelength limit, these gapless modes are of the opposite chirality to the chiral anomaly related zero Landau level, which leads to much more plentiful magnetic transport properties. To further explore the novel properties of these gapless modes, we investigate the quantum oscillation through a generalized Lieb lattice model. We find an extra oscillating behavior which indicates the existence of these exotic gapless modes. We collect known ab initio calculation data from the literature and discuss the possibility of realizing the semi-metallic feroton gas in real materials.
