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# Ground states of stealthy hyperuniform potentials. II. Stacked-slider phases

## Author(s): Zhang, Ge; Stillinger, Frank H; Torquato, Salvatore

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 Abstract: Stealthy potentials, a family of long-range isotropic pair potentials, produce infinitely degenerate disordered ground states at high densities and crystalline ground states at low densities in d-dimensional Euclidean space Rd . In the previous paper in this series, we numerically studied the entropically favored ground states in the canonical ensemble in the zero-temperature limit across the first three Euclidean space dimensions. In this paper, we investigate using both numerical and theoretical techniques metastable stacked-slider phases, which are part of the ground-state manifold of stealthy potentials at densities in which crystal ground states are favored entropically. Our numerical results enable us to devise analytical models of this phase in two, three, and higher dimensions. Utilizing this model, we estimated the size of the feasible region in configuration space of the stacked-slider phase, finding it to be smaller than that of crystal structures in the infinite-system-size limit, which is consistent with our recent previous work. In two dimensions, we also determine exact expressions for the pair correlation function and structure factor of the analytical model of stacked-slider phases and analyze the connectedness of the ground-state manifold of stealthy potentials in this density regime. We demonstrate that stacked-slider phases are distinguishable states of matter; they are nonperiodic, statistically anisotropic structures that possess long-range orientational order but have zero shear modulus. We outline some possible future avenues of research to elucidate our understanding of this unusual phase of matter. Publication Date: Aug-2015 Electronic Publication Date: 13-Aug-2015 Citation: Zhang, G, Stillinger, FH, Torquato, S. (2015). Ground states of stealthy hyperuniform potentials. II. Stacked-slider phases. Physical Review E, 92 (2), 10.1103/PhysRevE.92.022120 DOI: doi:10.1103/PhysRevE.92.022120 ISSN: 1539-3755 EISSN: 1550-2376 Pages: 022120-1 - 022120-10 Type of Material: Journal Article Journal/Proceeding Title: Physical Review E Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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