We present computations of cuprates which accurately describe the physics arising at scales of up to several lattice constants.

The exact solution of the asymmetric exclusion problem with N distinct classes of particles (c = 1; 2; : : : ; N), with hierarchical order is presented. In this model the particles (size 1) are located at lattice points, and di use with equal asymmetric rates, but particles in a class c do not distinguish those in the classes c0 > c from holes (empty sites). We generalize and solve exactly this...

Guided by CALPHAD (Calculation of Phase Diagrams) modeling, the refractory medium-entropy alloy MoNbTaV was synthesized by vacuum arc melting under a high-purity argon atmosphere. A body-centered cubic solid solution phase was experimentally confirmed in the as-cast ingot using X-ray diffraction and scanning electron microscopy. The measured lattice parameter of the alloy (3.208 Å) obeys the ru...

Let F be a simply connected figure constituted of cells of the butterfly lattice. We show that there exists a linear algorithm which says whether F is tilable by the three tiles described in the paper. Moreover, we point out some specific geometrical properties, especially on the notion of flip. c © 2006 Elsevier Ltd. All rights reserved.

We show how 3-dimensional, N=2 supersymmetric theories, including super QCD with matter fields, can be put on the lattice with existing techniques, in a way which will recover supersymmetry in the small lattice spacing limit. Residual supersymmetry breaking effects are suppressed in the small lattice spacing limit by at least one power of the lattice spacing a.

A system of fermions on a one-dimensional lattice, subject to a periodic potential whose period is incommensurate with the lattice spacing and veriies a diophantine condition, is studied. The Schwinger functions are obtained, and their asymptotic decay for large distances is exhibited for values of the Fermi momentum which are multiple of the potential period.

Results from a calculation of the low-lying glueball spectrum of pure-gauge SU(3) are used as a test of the effectiveness of improved discretisation schemes in reducing finite spacing errors. Glueball masses are extracted from simulations on anisotropic lattices, where the temporal lattice spacing is much shorter than the spatial ones. This allows clearer resolution of the decay of glueball cor...

Let ~ H and ~ K be finite composition series of length h in a group G. The intersections of their members form a lattice CSL( ~ H, ~ K) under set inclusion. Our main result determines the number N(h) of (isomorphism classes) of these lattices recursively. We also show that this number is asymptotically h!/2. If the members of ~ H and ~ K are considered constants, then there are exactly h! such ...