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Ritesh Bhola on Muck Rack

Ritesh Bhola

As seen in: Physical Review B
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Articles

Dulmage-Mendelsohn Percolation: Geometry of Maximally Packed Dimer Models and Topologically Protected Zero Modes on Site-Diluted Bipartite Lattices

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By Sounak Biswas, Ritesh Bhola, Mursalin Islam, Kedar Damle
| Physical Review B
Abstract The classic combinatorial construct of maximum matchings probes the random geometry of regions with local sublattice imbalance in a site-diluted bipartite lattice. We demonstrate that these regions, which host the monomers of any maximum matching of the lattice, control the localization properties of a zero-energy quantum particle hopping on this lattice. The structure theory of Dulmage and Mendelsohn provides us with a way of identifying a complete and nonoverlapping set of such regions.
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