We find marginal-Fermi-liquid- (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute the momentum and frequency dependence of the single-particle excitations with high resolution. The Fermi surface is found to be holelike in the underdoped ...

This paper considers some fundamental questions concerning marginally trapped surfaces, or apparent horizons, in Cauchy data sets for the Einstein equation. An area estimate for outermost marginally trapped surfaces is proved. The proof makes use of an existence result for marginal surfaces, in the presence of barriers, curvature estimates, together with a novel surgery construction for margina...

introduction: marginal adaptation of cast restorations is essential for their long-term success. as dentists usually assign ditching of dies to laboratory technicians, and ditching has a significant effect on marginal adaptation, the aim of this study was to compare ditching by laboratory technicians and standard approach on marginal adaptation of cast restoration. materials and methods: in thi...