Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revealing the boundary Weyl physics of the four-dimensional Hall effect
  via phason engineering in metamaterials   Quantum Hall physics has been theoretically predicted in 4-dimensions and
higher. In hypothetical 2n-dimensions, the topological characters of both the
bulk and the boundary are manifested as quantized non-linear transport
coefficients that connect, respectively, to the n-th Chern number of the bulk
gap projection and to the n-th winding number of the Weyl spectral
singularities on the (2n-1)-dimensional boundaries. Here, we introduce the
concept of phason engineering in metamaterials and use it as a vehicle to
access and apply the quantum Hall physics in arbitrary dimensions. Using these
specialized design principles, we fabricate a re-configurable 2-dimensional
aperiodic acoustic crystal with a phason living on a 2-torus, giving us access
to the 4-dimensional quantum Hall physics. Also, we supply a direct
experimental confirmation that the topological boundary spectrum assembles in a
Weyl singularity when mapped as function of the quasi-momenta. We also
demonstrate topological wave steering enabled by the Weyl physics of the
3-dimensional boundaries.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat