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Abstract Following the realization of Weyl semimetals in quantum electronic materials, classical wave analogues of Weyl materials have also been theorized and experimentally demonstrated in photonics and acoustics. Weyl points in elastic systems, however, have been a much more recent discovery. In this study, we report on the design of an elastic fully-continuum three-dimensional material that, while offering structural and load-bearing functionalities, is also capable of Weyl degeneracies and surface topologically-protected modes in a way completely analogous to its quantum mechanical counterpart. The topological characteristics of the lattice are obtained byab initionumerical calculations without employing any further simplifications. The results clearly characterize the topological structure of the Weyl points and are in full agreement with the expectations of surface topological modes. Finally, full field numerical simulations are used to confirm the existence of surface states and to illustrate their extreme robustness towards lattice disorder and defects.
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Synthesis of a quantum tree Weyl matrix
Abstract A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and solving elementary systems of linear algebraic equations in each step.
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- Award ID(s):
- 2308377
- PAR ID:
- 10470140
- Publisher / Repository:
- Springer Science + Business Media
- Date Published:
- Journal Name:
- Boletín de la Sociedad Matemática Mexicana
- Volume:
- 29
- Issue:
- 3
- ISSN:
- 1405-213X
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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