# Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on diluted bipartite lattices

@inproceedings{Bhola2020DulmageMendelsohnPG, title={Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on diluted bipartite lattices}, author={R. Bhola and S. Biswas and M. M. Islam and K. Damle}, year={2020} }

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 a way of identifying a complete and non-overlapping set of such regions. This… Expand

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Statistical mechanics of dimers on quasiperiodic tilings

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Jerome Lloyd, 2, 3, ∗ Sounak Biswas, ∗ Steven H. Simon, S. A. Parameswaran, and Felix Flicker 4 Rudolf Peierls Centre for Theoretical Physics, Parks Road, Oxford OX1 3PU, United Kingdom School of… Expand

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