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A superlattice is an artificial crystal made out by repeating periodically a basic unit comprising layers of two or more semiconductors. Superlattice based devices include infrared detectors, quantum cascade lasers and fast oscillators. A simple[...]texto impreso
Crystal defects such as dislocations are the basis of macroscopic properties such as the strength of materials and control their mechanical, optical and electronic properties. In recent times, advances in electronic microscopy have allowed imagi[...]texto impreso
We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling[...]texto impreso
A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the model are the elastic stiffness constants of the material and a d[...]texto impreso
Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic stiffn[...]texto impreso
We study the stability and evolution of various elastic defects in a flat graphene sheet and the electronic properties of the most stable configurations. Two types of dislocations are found to be stable: 'glide' dislocations consisting of heptag[...]texto impreso
The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to keep it moving, its velocity, and displacement vector profile are calculated from first principles. We use a simplified discrete model whose far field di[...]texto impreso
Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators with[...]texto impreso
A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensionalcrystals described by periodized-discrete-elasticity models is presented. When the crystal issheared beyond a critical strain F = Fc, the strained dislocation-f[...]texto impreso
Transient homogeneous nucleation is studied in the limit of large critical sizes. Starting from pure monomers, three eras of transient nucleation are characterized in the classic Becker-Doring kinetic equations with two different models of discr[...]texto impreso
The formation and growth of helium bubbles due to self-irradiation in plutonium has been modelled by discrete kinetic equations for the number densities of bubbles having k atoms. Analysis of these equations shows that the bubble size distributi[...]texto impreso
Discrete kinetic equations describe homogeneous nucleation and many other processes such as the formation and growth of helium bubbles due to self-irradiation in plutonium. A key ingredient in the analysis of these equations is a wave front expa[...]texto impreso
Strain fields, dislocations, and defects may be used to control electronic properties of graphene. By using advanced imaging techniques with high-resolution transmission electron microscopes, we have measured the strain and rotation fields about[...]texto impreso
An analysis of wave front motion in weakly coupled doped semiconductor superlattices is presented. If a dimensionless doping is sufficiently large, the superlattice behaves as a discrete system presenting front propagation failure and the wave f[...]texto impreso
A fast harmonic oscillator is linearly coupled with a system of Ising spins that are in contact with a thermal bath, and evolve under a slow Glauber dynamics at dimensionless temperature theta. The spins have a coupling constant proportional to [...]
