Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Assembly of Isostatic Self-Dual Colloidal Crystals   Self-dual structures whose dual counterparts are themselves possess unique
hidden symmetry, beyond the description of classical spatial symmetry groups.
Here we propose a strategy based on { a nematic monolayer of} attractive
half-cylindrical colloids to self-assemble these exotic structures. { This
system can be seen as a 2D system of semi-disks.} By using Monte Carlo
simulations, we discover two isostatic self-dual crystals, i.e., an unreported
crystal with pmg {space-group} symmetry and the twisted Kagome crystal. For the
pmg crystal approaching the critical point, we find the double degeneracy of
the {full} phononic spectrum at the self-dual point, and the merging of two
tilted Weyl nodes into one \emph{critically-tilted} Dirac node. The latter is
`accidentally' located on the high-symmetry line. The formation of this
unconventional Dirac node is due to the emergence of the critical flat bands at
the self-dual point, which are linear combinations of \emph{finite-frequency}
floppy modes. These modes can be understood as mechanically-coupled self-dual
rhomb chains vibrating in some unique uncoupled ways. Our work paves the way
for designing and fabricating self-dual materials with exotic mechanical or
phononic properties.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph