One-, Two-, and Three-Dimensional Hopping Dynamics

The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model

Allowing a single electron to hop to next-nearest neighbours (NNN) in addition to the closest atomic sites in the Holstein model, a modified Trugman method is applied to exactly calculate the effect on the polaronic effective mass in one, two, and three dimensions, building on the previous study of the one-dimensional NNN Holstein model. We also present perturbative calculations and a heuristic...

One - dimensional versus two - dimensional dynamics Sebastian

Shot noise suppression at one-dimensional hopping

We have carried out a preliminary analysis of shot noise at hopping, focusing on uniform one-dimensional ~1D! arrays of sites separated by N tunnel barriers. The results show that at low temperatures the low-frequency density of the shot noise varies from 1/N to 1 of the Schottky value, depending on the geometry, electron density, and Coulomb interaction strength. An interesting feature is v de...

Three-Dimensional Tracking of Interfacial Hopping Diffusion.

Theoretical predictions have suggested that molecular motion at interfaces-which influences processes including heterogeneous catalysis, (bio)chemical sensing, lubrication and adhesion, and nanomaterial self-assembly-may be dominated by hypothetical "hops" through the adjacent liquid phase, where a diffusing molecule readsorbs after a given hop according to a probabilistic "sticking coefficient...

Dimensional accuracy of three impression materials by one-step and two-step impression techniques: An in vitro study

Introduction: An accurate impression is essential to create a well-fitted dental prosthesis. This study aimed to compare the dimensional accuracy of three elastomeric materials using one-step and two-step impression techniques. Methods: In this study, 20 impressions were fabricated for each Vinyl siloxane ether (Identium), condensation silicone (Speedex), and a...