Rectification and nonlinear transport in chaotic dots and rings

Details Rectification and nonlinear transport in chaotic dots and rings Rectification and nonlinear transport in chaotic dots and rings

2007-07-23

arxiv.org/abs/0707.3159v2

Phys. Rev. B 76, 205308 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 7 figures; v2--published verison

Scientific paper

10.1103/PhysRevB.76.205308

We investigate the nonlinear current-voltage characteristic of mesoscopic conductors and the current generated through rectification of an alternating external bias. To leading order in applied voltages both the nonlinear and the rectified current are quadratic. This current response can be described in terms of second order conductance coefficients and for a generic mesoscopic conductor they fluctuate randomly from sample to sample. Due to Coulomb interactions the symmetry of transport under magnetic field inversion is broken in a two-terminal setup. Therefore, we consider both the symmetric and antisymmetric nonlinear conductances separately. We treat interactions self-consistently taking into account nearby gates. The nonlinear current is determined by different combinations of second order conductances depending on the way external voltages are varied away from an equilibrium reference point (bias mode). We discuss the role of the bias mode and circuit asymmetry in recent experiments. In a photovoltaic experiment the alternating perturbations are rectified, and the fluctuations of the nonlinear conductance are shown to decrease with frequency. Their asymptotical behavior strongly depends on the bias mode and in general the antisymmetric conductance is suppressed stronger then the symmetric conductance. We next investigate nonlinear transport and rectification in chaotic rings. To this extent we develop a model which combines a chaotic quantum dot and a ballistic arm to enclose an Aharonov-Bohm flux. In the linear two-probe conductance the phase of the Aharonov-Bohm oscillation is pinned while in nonlinear transport phase rigidity is lost. We discuss the shape of the mesoscopic distribution of the phase and determine the phase fluctuations.

Affiliated with

Also associated with

No associations

Rating

Rectification and nonlinear transport in chaotic dots and rings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rectification and nonlinear transport in chaotic dots and rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rectification and nonlinear transport in chaotic dots and rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109099