English

Weakly Nonlinear AC Response: Theory and Application

Condensed Matter 2009-10-30 v1

Abstract

We report a microscopic and general theoretical formalism for electrical response which is appropriate for both DC and AC weakly nonlinear quantum transport. The formalism emphasizes the electron-electron interaction and maintains current conservation and gauge invariance. It makes a formal connection between linear response and scattering matrix theory at the weakly nonlinear level. We derive the dynamic conductance and predict the nonlinear-nonequilibrium charge distribution. The definition of a nonlinear capacitance leads to a remarkable scaling relation which can be measured to give microscopic information about a conductor.

Keywords

Cite

@article{arxiv.cond-mat/9712060,
  title  = {Weakly Nonlinear AC Response: Theory and Application},
  author = {Zhong-shui Ma and Jian Wang and Hong Guo},
  journal= {arXiv preprint arXiv:cond-mat/9712060},
  year   = {2009}
}