Stacking Dimerized Chains Exhibit Acoustic
TypeII Weyl Nodes
ZHANG BAILE
Weyl fermions were originally predicted by Weyl in 1929 in the development of quantum field theory, but have not been found as realistic particles (neutrinos were mistakenly thought to be Weyl fermions for decades). Recently, it was found [1] that the electronic lowenergy excitations acting as quasiparticles in some novel Weyl semimetals can support the Weyl fermion Hamiltonian. What is beyond the context of traditional Weyl fermions is that, on the platform of a condensed matter system, a new type of Weyl fermion, nowadays classified as a "typeII" Weyl fermion, can emerge at the contact of the electron and hole pockets. This new type of typeII Weyl fermion violates the fundamental Lorentz symmetry in quantum field theory, and thus were actually missed by Weyl in his original studies.
Fig. 1: (a) Acoustic structure. (b) The spectrum of Weyl cone and the density of states. (c) Fermiarclike surface states. (d) Transport distinction.
In a recent work [1], Baile Zhang and Zhaoju Yang propose an acoustic version of a typeII Weyl Hamiltonian and clarify its unique features in transportation. They construct a threedimensional acoustic structure by stacking onedimensional dimerized chains of acoustic resonators, as presented in Fig. 1(a). The inset shows the schematic of the threedimensional dimerized cubic lattice. By calculating the band structure, we find the tilted spectrum of the Weyl cone, which indicates the existence of the typeII Weyl point. The right panel displays the nonvanishing density of states, as a distinct feature from a typeI Weyl system. The nonzero chirality of the Weyl points implies the existence of Fermiarclike surface states, which can be traced out as shown in Fig. 1(c). The open arcs are a direct analogue of the Fermi arcs discovered recently in Weyl semimetals. Another distinct feature is that the group velocity of the surface states is determined by the tilting spectrum of the typeII Weyl cone rather than the chirality dictated by the Chern number, which is totally different from the typeI Weyl system. This is schematically shown in Fig. 1(d).
References
[1] Yang, Z. and Zhang, B., 2016. Acoustic TypeII Weyl Nodes from Stacking Dimerized Chains. Physical Review Letters, 117(22), p.22430.

Zhang Baile is an assistant professor in the School of Physical & Mathematical Sciences at Nanyang Technological University, Singapore. He received his PhD in electrical engineering in 2009 from MIT, following his BS degree in 2003 and MS degree in 2006 in electrical engineering from Tsinghua University in Beijing. His research interests include electromagnetic wave theory, invisibility cloaking, metamaterials, and acoustics. 
