The stable configurations, electronic structure and magnetic properties of B16N16, B8C24, Al and P inserted (BC3)8 was studied by performing density functional theory (DFT) calculations of the NMR parameters. The results indicate that B8C24 has semiconductivity property and be effectively modified by inserti...

In this paper, we introduce a unified framework of Tensor Higher-Degree EigenvalueComplementarity Problem (THDEiCP),which goes beyond the framework of the typical Quadratic Eigenvalue Complementarity Problem for matrices. First, we study some topological properties of higher-degree cone eigenvalues of tensors. Based upon the symmetry assumptions on the underlying tensors, we then reformulate TH...

We establish basic information about border rank algorithms for the matrix multiplication tensor and other tensors with symmetry. We prove that border rank algorithms for tensors with symmetry (such as matrix multiplication and the determinant polynomial) come in families that include representatives with normal forms. These normal forms will be useful both to develop new efficient algorithms a...

The antiferromagnetic semiconductor ${\mathrm{CuFeS}}_{2}$ belongs to a magnetic symmetry class that is of interest for spintronics applications. In addition, its crystal lattice compatible with Si, making it possible integrate nonmagnetic semiconducting structures. Therefore, we investigate this material by finding the effective $\mathbit{k}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbit{p}...

We consider a class of spin-type discrete systems and analyze their continuum limit as the lattice spacing goes to zero. Under standard coerciveness and growth assumptions together with an additional head-to-tail symmetry condition, we observe that this limit can be conveniently written as a functional in the space of Q -tensors. We further characterize the limit energy density in several cases...