The triangular lattice of S=1/2 spins with XXZ anisotropy is a ubiquitous model for various frustrated systems in different contexts. We determine the quantum phase diagram of the model in the plane of the anisotropy parameter and the magnetic field by means of a large-size cluster mean-field method with a scaling scheme. We find that quantum fluctuations break up the nontrivial continuous dege...

We investigate the Hubbard model on two typical frustrated lattices in two dimensions, the kagomé lattice and the anisotropic triangular lattice, by means of the cellular dynamical mean field theory. We show that the metallic phase is stabilized up to fairly large Hubbard interactions under strong geometrical frustration in both cases, which results in heavy fermion behavior and several anomalo...

A simple planar model for an orientational ordering of threefold molecules on a triangular lattice modelling a close-packed (111) plane of fullerite is considered. The system has 3sublattice ordered ground state which includes 3 different molecular orientations. There exist 6 kinds of orientational domains, which are related with a permutation or a mirror symmetry. Interdomain walls are found t...

this paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. the method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. the method allows the measurement of the local quality ...

In this paper, we illustrate a method to enumerate two-dimensional directed animals, with compact sources, on both the square and the triangular lattice. We give a recursive description of these structures from which we deduce their generating function, according to various parameters: the area, the right half-width and the number of compact sources. We determine the average number of compact s...

We derive exact results for close-packed dimers on the triangular kagome lattice !TKL", formed by inserting triangles into the triangles of the kagome lattice. Because the TKL is a nonbipartite lattice, dimer-dimer correlations are short ranged so that the ground state at the Rokhsar-Kivelson !RK" point of the corresponding quantum dimer model on the same lattice is a short-ranged spin liquid. ...

Authors: S. Wessel and M. Troyer http://ArXiv.org/cond-mat/0505298 Phys. Rev. Lett. 95, 127205 (2005); Authors: D. Heidarian and K. Damle http://ArXiv.org/cond-mat/0505257 Phys. Rev. Lett. 95, 127206 (2005); Authors: R. G. Melko, A. Paramekanti, A. A. Burkov, A. Vishwanath, D. N. Sheng, and L. Balents http://ArXiv.org/cond-mat/0505258 Phys. Rev. Lett. 95, 127207 (2005). Authors: R. G. Melko, A....