Microscopic derivation of transport coefficients and boundary conditions in discrete drift-diffusion models of weakly coupled superlattices

Abstract

A discrete drift-diffusion model is derived from a microscopic sequential tunneling model of charge transport in weakly coupled superlattices provided temperatures are low or high enough. Realistic transport coefficients and novel contact current--field characteristic curves are calculated from microscopic expressions, knowing the design parameters of the superlattice. Boundary conditions clarify when possible self-sustained oscillations of the current are due to monopole or dipole recycling.

arXiv comment11 pages, two-column Revtex, 6 figures, new Appendix and figures, corrected some typos

References in corpus (10)

• Electrically tunable GHz oscillations in doped GaAs-AlAs superlattices
• Dynamics of Electric Field Domains and Oscillations of the Photocurrent in a Simple Superlattice Model
• Quantum transport: The link between standard approaches in superlattices
• Current-voltage characteristic and stability in resonant-tunneling n-doped semiconductor superlattices
• Inelastic quantum transport in superlattices: success and failure of the Boltzmann equation
• Dynamical Localization and Absolute Negative Conductance in an ac driven double quantum well
• Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices
• Wavefronts may move upstream in doped semiconductor superlattices
• Asymptotic analysis of the Gunn effect with realistic boundary conditions
• Stationary states and phase diagram for a model of the Gunn effect under realistic boundary conditions

Cited by in corpus (18)

• Photon-assisted transport in semiconductor nanostructures
• Semiconductor Superlattices: A model system for nonlinear transport
• Chaotic front dynamics in semiconductor superlattices
• Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems
• Coherence Resonance and Stochastic Resonance in an Excitable Semiconductor Superlattice
• Field-domain spintronics in magnetic semiconductor multiple quantum wells
• Quasiperiodic time dependent current in driven superlattices: distorted Poincare maps and strange attractors
• Motion of Wavefronts in Semiconductor Superlattices
• Limit cycle induced frequency locking in self-sustained current oscillations of superlattices
• Temperature dependence of current self-oscillations and electric field domains in sequential tunneling doped superlattices
• Nonlinear stochastic discrete drift-diffusion theory of charge fluctuations and domain relocation times in semiconductor superlattices
• Designing hyperchaos and intermittency in semiconductor superlattices
• Enhancing Chaotic Behavior at room temperature in GaAs/(Al,Ga)As Superlattices
• Effects of disorder on the wave front depinning transition in spatially discrete systems
• Parameter dependence of high-frequency nonlinear oscillations and intrinsic chaos in short GaAs/(Al,Ga)As superlattices
• Hyperchaos, intermittency, noise and disorder in modified semiconductor superlattices
• Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann-BGK descriptions of semiconductor superlattices
• Transport Electronique Dans Les Super Reseaux : Applications Aux Détecteurs Infrarouges à Grandes Longueur D'onde