“The Weyl–Heisenberg Ensemble: Hyperuniformity and Higher Landau Levels” is published in Journal of Statistical Mechanics: Theory and Experiment Categories News Author chmadmin Read full paper: here Weyl–Heisenberg ensembles are a class of determinantal point processes associated with the Schrödinger representation of the Heisenberg group. Hyperuniformity characterizes a state of matter for which (scaled) density fluctuations diminish towards zero at the largest length scales. We will prove that Weyl–Heisenberg ensembles are hyperuniform. Weyl–Heisenberg ensembles include as a special … Continue Reading “The Weyl–Heisenberg Ensemble: Hyperuniformity and Higher Landau Levels” is published in Journal of Statistical Mechanics: Theory and Experiment
“Hyperuniformity variation with quasicrystal local isomorphism class” was published in Journal of Physics: Condensed Matter Categories News Author chmadmin Real full paper: here Hyperuniformity is the suppression of long-wavelength density fluctuations, relative to typical structurally disordered systems. In this paper, we examine how the degree of hyperuniformity \([\Lambda(\infty)]\) in quasicrystals depends on the local isomorphism class. By studying the continuum of pentagonal quasicrystal tilings obtained by direct projection from a five-dimensional hypercubic lattice, we … Continue Reading “Hyperuniformity variation with quasicrystal local isomorphism class” was published in Journal of Physics: Condensed Matter
“Hyperuniformity of Quasicrystals” was published in Physical Review B Categories News Author chmadmin Read full paper: here Hyperuniform systems, which include crystals, quasicrystals, and special disordered systems, have attracted considerable recent attention, but rigorous analyses of the hyperuniformity of quasicrystals have been lacking because the support of the spectral intensity is dense and discontinuous. We employ the integrated spectral intensity \(Z(k)\) to quantitatively characterize the hyperuniformity of quasicrystalline … Continue Reading “Hyperuniformity of Quasicrystals” was published in Physical Review B
