Theory of spatially inhomogeneous Bloch oscillations in semiconductor superlattices

@article{Bonilla2011TheoryOS,
  title={Theory of spatially inhomogeneous Bloch oscillations in semiconductor superlattices},
  author={Luis L. Bonilla and M. Alvaro and Manuel Carretero},
  journal={Physical Review B},
  year={2011},
  volume={84},
  pages={155316}
}
In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. To demonstrate this, a Boltzmann-Poisson transport model of miniband superlattices with inelastic collisions is proposed and hydrodynamic equations for electron density, electric field and the complex amplitude of the Bloch oscillations are derived by singular perturbation… 

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