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Precise algorithm to generate random sequential addition of hard hyperspheres at saturation.
  • G. Zhang, S. Torquato
  • Mathematics, Physics
  • Physical review. E, Statistical, nonlinear, and…
  • 25 November 2013
TLDR
The improved algorithm is easily generalizable to generate saturated RSA packings of nonspherical particles that are guaranteed to contain no available space in a large simulation box using finite computational time with heretofore unattained precision and across the widest range of dimensions. Expand
Uncovering multiscale order in the prime numbers via scattering
The prime numbers have been a source of fascination for millenia and continue to surprise us. Motivated by the hyperuniformity concept, which has attracted recent attention in physics and materialsExpand
Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
It has been shown numerically that systems of particles interacting with "stealthy" bounded, long-ranged pair potentials (similar to Friedel oscillations) have classical ground states that are,Expand
Topological phases in a Kitaev chain with imbalanced pairing
We systematically study a Kitaev chain with imbalanced pair creation and annihilation, which is introduced by non-Hermitian pairing terms. An exact phase diagram shows that the topological phase isExpand
Topological Characterization of Extended Quantum Ising Models.
TLDR
The winding number can serve as a topological quantum number of the quantum phases in the extended quantum Ising model, which sheds some light upon the relation between quantum phase transition and the geometrical order parameter characterizing the phase diagram. Expand
Transport, geometrical, and topological properties of stealthy disordered hyperuniform two-phase systems.
TLDR
As the extent of short-range order increases, stealthy disordered two-phase media can attain nearly maximal effective diffusion coefficients over a broad range of volume fractions while also maintaining isotropy, and therefore may have practical applications in situations where ease of transport is desirable. Expand
Ground states of stealthy hyperuniform potentials: I. Entropically favored configurations.
TLDR
Results show that as the density decreases from the high-density limit, the disordered ground states in the canonical ensemble are characterized by an increasing degree of short-range order and eventually the system undergoes a phase transition to crystalline ground states. Expand
Probing the limitations of isotropic pair potentials to produce ground-state structural extremes via inverse statistical mechanics.
TLDR
This work demonstrates that single-component systems with short-range radial pair potentials can counterintuitively self-assemble into crystal ground states with low symmetry and different local structural environments. Expand
Conventional quantum phase transition driven by a complex parameter in a non-Hermitian PT-symmetric Ising model
A conventional quantum phase transition (QPT) can be accessed by varying a real parameter at absolute zero temperature. Motivated by the discovery of the pseudo-Hermiticity of non-Hermitian systems,Expand
Ground states of stealthy hyperuniform potentials. II. Stacked-slider phases.
TLDR
It is demonstrated 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. Expand
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