Seminars and Colloquia
Physics
Percolation of zero mode wavefunctions in diluted graphene
Fri, May 17, 2019,
02:00 PM to 03:00 PM
at Seminar Room No. 31, A Wing, Second Floor, Main Building
Dr. Kedar Damle
TIFR, Mumbai
Abstract:
The problem of bipartite random hopping on diluted bipartite lattices ( e.g diluted graphene) has interesting spectral properties near zero energy, including a nonzero density of zero modes and an unusually long crossover to the modified Gade-Wegner form of the density of states expected from universality arguments. Here we exploit an interesting connection to maximum matchings of the same lattice to study the generic morphology of the maximally localised zero modes of the system, finding evidence for a percolation like transition as a function of vacancy concentration