Naba P. Nayak

We explore the critical properties of a topological transition in a two-dimensional, amorphous lattice with randomly distributed points. The model intrinsically breaks the time-reversal symmetry without an external magnetic field, akin to a Chern insulator. Here, the topological transition is induced by varying the density of lattice points or adjusting the mass parameter.

We study the transport properties of a tight-binding model of noninteracting fermions with random hopping on the honeycomb lattice. At the particle-hole-symmetric chemical potential, the absence of diagonal disorder (random on-site potentials) places the system in the well-studied chiral orthogonal universality class of disordered fermion problems, which are known to exhibit both a critical metallic phase and a dimerization-induced localized phase.