Studies of one-and two-hole states in the 2D t-J model via series expansions Abstract We study one and two hole properties of the t-J model at half-filling on the square lattice using series expansion methods at T = 0. The dispersion curve for one hole excitations is calculated and found to be qualitatively similar to that obtained by other methods, but the bandwidth for small t/J is some 20% l...

In many situations we have to fill one or several holes of certain function defined in a domain where there is a lack of information inside some sub-domains. For this we have developped some methods (see [1, 2, 3, 4]). But in some practical cases we just know some specific geometrical constraints, of industrial or design type, as the special case of a specified volume inside each one of these s...

A new algorithm is presented for filling n-sided holes. The algorithm generates a subdivision surface which connects smoothly (G) with the surface around the hole. The data to the algorithm consists of n boundary curves and cross boundary derivatives, given in any parametric form. The algorithm is based on Sabin’s variant of CatmullClark scheme [1], which operates in the surface interior. Near ...

This paper presents an algorithm for the automated counting of axons in microscope images of cross-sections of the optic nerve. The approach uses a hole-filling algorithm to identify closed bundles in the image. Six images in which axons were labeled by a trained observer (TO) were used as test data for the algorithm. Results show that the algorithm counted the axons with an average relative er...

Volumes reconstructed from tracked planar ultrasound images often contain regions where no information was recorded. Existing interpolation methods introduce image artifacts and tend to be slow in filling large missing regions. Our goal was to develop a computationally efficient method that fills missing regions while adequately preserving image features. We use directional sticks to interpolat...

While scanning a complex part in reverse engineering, it is not possible to acquire all part of the scanned surface. Data are inevitably missing due to the complexity of the scanned part or imperfect scanning process. Missing scanned data cause holes in the created triangular mesh, so that a hole-free mesh model is prerequisite for fitting watertight surfaces. Although a number of hole filling ...

Controllable point junctions between different quantum Hall phases are a necessary building block for the development of mesoscopic circuits based on fractionally charged quasiparticles. We demonstrate how particle-hole duality can be exploited to realize such point-contact junctions. We show an implementation for the case of two quantum Hall liquids at filling factors nu=1 and nu*<or=1 in whic...

By using high-magnetic fields (up to 60 T), we observe compelling evidence of the integer quantum Hall effect in trilayer graphene. The magnetotransport fingerprints are similar to those of the graphene monolayer, except for the absence of a plateau at a filling factor of ν=2. At a very low filling factor, the Hall resistance vanishes due to the presence of mixed electron and hole carriers indu...

The Fano factor stability diagram of a C3v symmetric triangular quantum dot is analyzed for increasing electron fillings N . At low filling, conventional Poissonian and sub-Poissonian behavior is found. At larger filling, N 2, a breaking of the electron-hole symmetry is manifested in super-Poissonian noise with a peculiar bias voltage dependence of the Fano factor at Coulomb and interference bl...