Self-assembly of chiral particles with an L-shape is explored by Monte-Carlo
computer simulations in two spatial dimensions. For sufficiently high packing
densities in confinement, a carpet-like texture emerges due to the interlocking
of L-shaped particles, resembling a distorted smectic liquid crystalline layer
pattern. From the positions of either of the two axes of the particles, two
different types of layers can be extracted, which form distinct but
complementary entangled networks. These coarse-grained network structures are
then analyzed from a topological point of view. We propose a global charge
conservation law by using an analogy to uniaxial smectics and show that the
individual network topology can be steered by both confinement and particle
geometry. Our topological analysis provides a general classification framework
for applications to other intertwined dual networks.Comment: 11 pages, 11 figure