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The unique shortest vector problem on a rational lattice is the problem of finding the shortest non-zero vector under the promise that it is unique (up to multiplication by -1). We give several incremental improvements on the known hardness of the unique s ...
This book lays methodically the foundations of an original approach of the solid lattices deformation using the Euler coordinates, and introduces in details the concept of tensor dislocation charges and tensor disclination charges within a lattice. This ne ...
Metal fatigue during cyclic loading puts an endurance limit on most of today's technology. It impacts the reliability of metallic components used for transportation, electronic devices and energy production because fatigue failure can occur without any app ...
The strain and compositional fluctuations of nearly lattice-matched Al0.81In0.19N/GaN heterostructures are investigated by cross-sectional scanning tunneling microscopy and selected area electron diffraction measurements in scanning electron transmission m ...
The dependence of the lattice parameter on dopant concentration in Ce1-xMxO2 (M = Sn and Ti) solid solutions is not linear. A change towards a steeper slope is observed around x similar to 0.35, though the fluorite structure (space group Fm3m) is preserved ...
The macroscopic strength of metals is determined by the dislocation arrangements that are formed when dislocations slip in the crystal lattice in response to the applied stress. Despite the extensive research carried out, the transition from uniform to non ...
The aim of this project is to compute the spin wave dispersion of the Sr2Cu3O4Cl2 like lattice. After having introduced the necessary theoretical elements and the crystallographic structure of Sr2Cu3O4Cl2, we will first calculate the couplings between two ...
Recent experiments on the Ba3XSb2O9 family have revealed materials that potentially realize spin-and spin-orbital liquid physics. However, the lattice structure of these materials is complicated due to the presence of charged X2+-Sb5+ dumbbells, with two p ...
The usefulness of lattice codes is investigated for two-user Gaussian interference channels (IC). A coding scheme based on the compute-and-forward technique is shown to achieve the capacity region of the Gaussian IC under strong interference. The proposed ...
Some two-dimensional (2D) exfoliated zeolites are single- or near single-unit cell thick silicates that can function as molecular sieves. Although they have already found uses as catalysts, adsorbents and membranes precise determination of their thickness ...