  The infinite Projected Entangled-Pair State (iPEPS) algorithm is one of the
most efficient techniques for studying the ground-state properties of
two-dimensional quantum lattice Hamiltonians in the thermodynamic limit. Here,
we show how the algorithm can be adapted to explore nearest-neighbor local
Hamiltonians on the ruby and triangle-honeycomb lattices, using the Corner
Transfer Matrix (CTM) renormalization group for 2D tensor network contraction.
Additionally, we show how the CTM method can be used to calculate the ground
state fidelity per lattice site and the boundary density operator and
entanglement entropy (EE) on an infinite cylinder. As a benchmark, we apply the
iPEPS method to the ruby model with anisotropic interactions and explore the
ground-state properties of the system. We further extract the phase diagram of
the model in different regimes of the couplings by measuring two-point
correlators, ground state fidelity and EE on an infinite cylinder. Our phase
diagram is in agreement with previous studies of the model by exact
diagonalization.
