General analysis of instabilities and oscillations of the sequential tunneling in superlattices
نویسندگان
چکیده
We present a general analysis of instabilities and oscillations of the sequential tunneling current in superlattices, based on the current-voltage characteristic of a single barrier. Our results depend only on the presence of a negative differential resistance region and are independent of the details of the model. We establish general conditions for the existence of a stable oscillatory region of current-voltage characteristic of the superlattice, and for instability leading to current self-oscillation. Our formalism permits a natural connection to standard results of chaos theory. @S0163-1829~99!50520-1#
منابع مشابه
Semiconductor Superlattices: A model system for nonlinear transport
Electric transport in semiconductor superlattices is dominated by pronounced negative differential conductivity. In this report the standard transport theories for superlattices, i.e. miniband conduction, Wannier-Stark-hopping, and sequential tunneling, are reviewed in detail. Their relation to each other is clarified by a comparison with a quantum transport model based on nonequilibrium Green ...
متن کاملLimit cycle theory of self-sustained current oscillations in sequential tunneling of superlattices
A unified theory of self-sustained current oscillations (SSCOs) is presented. We establish these oscillations as the manifestations of limit cycles, around unstable steady-state solutions caused by the negative differential conductance. This theory implies that both the generation and the motion of an electric-field domain boundary are universal in the sense that they do not depend on the initi...
متن کاملBloch–Zener Oscillations in Graphene and Topological Insulators
We show that superlattices based on zero-gap semiconductors such as graphene and mercury telluride exhibit characteristic Bloch–Zener oscillations that emerge from the coherent superposition of Bloch oscillations and multiple Zener tunneling between the electron and hole branch. We demonstrate this mechanism by means of wave packet dynamics in various spatially periodically modulated nanoribbon...
متن کاملCurrent self-oscillations, spikes, and crossover between charge monopole and dipole waves in semiconductor superlattices
Self-sustained current oscillations in weakly coupled superlattices are studied by means of a self-consistent microscopic model of sequential tunneling, naturally including boundary conditions. Well-to-well hopping and recycling of charge monopole domain walls produce current spikes—high-frequency modulation— superimposed on the oscillation. For highly doped injecting contacts, the self-oscilla...
متن کاملModeling of the Combustion Oscillations and Soot Formation in Aerovalved Pulse Combustors
This paper describes the modifications and evolution of a thermal pulse combustionmodel for predicting the combustion oscillations of an aerovalved 250 kW pulse combustorincorporating a soot formation-combustion model. Validation of the model is carried out from theexperimental data of an aerovalved Helmholtz type pulse combustor, where a sinusoidal air inlet massflow coupled with pressure osci...
متن کامل