A Numerical Study of Transport and Shot Noise at 2D Hopping

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

17 pages, 8 figures; Fixed minor typos and updated references

Scientific paper

10.1088/0953-8984/18/6/015

We have used modern supercomputer facilities to carry out extensive Monte Carlo simulations of 2D hopping (at negligible Coulomb interaction) in conductors with the completely random distribution of localized sites in both space and energy, within a broad range of the applied electric field $E$ and temperature $T$, both within and beyond the variable-range hopping region. The calculated properties include not only dc current and statistics of localized site occupation and hop lengths, but also the current fluctuation spectrum. Within the calculation accuracy, the model does not exhibit $1/f$ noise, so that the low-frequency noise at low temperatures may be characterized by the Fano factor $F$. For sufficiently large samples, $F$ scales with conductor length $L$ as $(L_c/L)^{\alpha}$, where $\alpha=0.76\pm 0.08 < 1$, and parameter $L_c$ is interpreted as the average percolation cluster length. At relatively low $E$, the electric field dependence of parameter $L_c$ is compatible with the law $L_c\propto E^{-0.911}$ which follows from directed percolation theory arguments.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A Numerical Study of Transport and Shot Noise at 2D Hopping 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 A Numerical Study of Transport and Shot Noise at 2D Hopping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Numerical Study of Transport and Shot Noise at 2D Hopping will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-482779

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.