English

Dynamics and (de)localization in a one-dimensional tight-binding chain

Physics Education 2015-06-26 v1 General Physics

Abstract

A simple tight-binding model is used to illustrate how the time dependence of a state vector can be obtained from all the eigenvalues and eigenvectors of the Hamiltonian. The behavior of the eigenvalues and eigenvectors is studied for various parameters and allows us to study scattering-like events, impurity states, and localization in disordered systems.

Keywords

Cite

@article{arxiv.physics/0607164,
  title  = {Dynamics and (de)localization in a one-dimensional tight-binding chain},
  author = {Antonio Siber},
  journal= {arXiv preprint arXiv:physics/0607164},
  year   = {2015}
}