Weakly Nonlinear AC Response: Theory and Application

Details Weakly Nonlinear AC Response: Theory and Application Weakly Nonlinear AC Response: Theory and Application

1997-12-05

arxiv.org/abs/cond-mat/9712060v1

Phys. Rev. B Vol.59, 7575 (1999).

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevB.59.7575

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.

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