Tunneling Phase Diagrams in Anisotropic Multi‐Weyl Semimetals

Motivated by the exciting prediction of Multi-Weyl topological semimetals that are stabilized point group symmetries [Phys. Rev. Lett. 108 (2012) 266802], we study tunneling phenomena for a class anisotropic semimetals. We find distant detector different ranges an anisotropy parameter $\lambda$ and incident angle $\theta$ will measure number propagating transmitted modes. present these findings in terms phase diagrams is valid incoming wave with fixed wavenumber $k$--energy not fixed. To gain deeper understanding this phenomenon then focus on simplest case quadratic Weyl-semimetal analyze coefficients analytically numerically to confirm observations from diagram. Our results show non-analytical behavior, which hallmark transition. This serves as motivation make formal analogy transitions known statistical mechanics. Specifically, argue long distance limit our problem takes place thermodynamic More precisely, direct connection recently developed formalism dynamical [Reports Progress Physics 81 (5) (2018) 054001]. propose can help classify transport properties exotic