Persistent homology and many-body atomic structure for medium-range order in the glass.

@article{Nakamura2015PersistentHA,
  title={Persistent homology and many-body atomic structure for medium-range order in the glass.},
  author={Takenobu Nakamura and Yasuaki Hiraoka and Akihiko Hirata and Emerson G. Escolar and Yasumasa Nishiura},
  journal={Nanotechnology},
  year={2015},
  volume={26 30},
  pages={
          304001
        }
}
The characterization of the medium-range (MRO) order in amorphous materials and its relation to the short-range order is discussed. A new topological approach to extract a hierarchical structure of amorphous materials is presented, which is robust against small perturbations and allows us to distinguish it from periodic or random configurations. This method is called the persistence diagram (PD) and introduces scales to many-body atomic structures to facilitate size and shape characterization… 
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