This paper analyzes the effect of particle-hole symmetry on the behavior of the tracer diffusion coefficient as well as the jump diffusion coefficient. The coefficients are obtained by performing a random walk of individual atoms in a two-dimensional square lattice at monolayer, using the n-fold way Monte Carlo simulation. Different hopping mechanisms have been introduced to study the effect of...

We analyze the motion of a single hole on a Néel background, neglecting spin fluctuations. Brinkman and Rice studied this problem on a cubic lattice, introducing the retraceable-path approximation for the hole Green's function, exact in a one-dimensional lattice. Metzner et al. showed that the approximation also becomes exact in the infinite-dimensional limit. We introduce a new approach to thi...

Nickel films (several-micrometer thickness, with 5.2-mm square holes in a square lattice array with 12.7-mm hole-to-hole spacing) exhibit Ebbesen’s extraordinary transmission effect in the infrared; that is, they transmit a higher fraction of incident infrared light than the fractional open area of the holes. The role of surface plasmons (SPs) in this phenomenon is much debated, so we have obta...

A novel short half-width microstrip leaky wave antenna (MLWA) with suppressed back lobes is introduced. The design contains an oblique shape termination and a linked square metal with a grounded via hole. The oblique shape termination changes the direction of the reflected wave, and a linked square metal with a grounded via hole guides the remainder power of the reflected wave to the ground pla...

This paper investigates the design optimization of an electrostatically actuated microcantilever resonator that operates in air. The nonlinear effects of electrostatic actuation and air damping make the structural dynamics modeling more complex. There is a need for an efficient way to simulate the system behavior so that the design can be more readily optimized. This paper describes an efficien...

The number of domino tilings of the 2n× 2n square with a centered hole of size 2m×2m, a figure known as the holey square and denoted H(m, n), was conjectured by Edward Early to be 2n−m(2km,n + 1) . Although the conjecture has remained unsolved until now, specific cases were known, for example see [4]. In this paper, we answer the general conjecture in the affirmative, primarily via a theorem ab...

Quasi-static wedging of three-point contacts is investigated, wherein the concepts of virtual and redundant wedging due to a resultant force falling into a friction cone are proposed. We consider the fully-started case of a square peg and hole consisting of two point-surface contacts and one line-line contact. An analysis of the wedging diagram for this highly constrained configuration is carri...

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...