Full counting statistics in a disordered free fermion system

Details Full counting statistics in a disordered free fermion system Full counting statistics in a disordered free fermion system

2012-01-18

arxiv.org/abs/1201.3933v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 8 figures

Scientific paper

The Full Counting Statistics (FCS) is studied for a one-dimensional system of non-interacting fermions with and without disorder. For two L-site translationally invariant lattices connected at time t=0, the charge variance increases logarithmically in t, following the universal expression ~ (1/pi^2) log t, for t much shorter than the ballistic time to encounter the boundary, t ~ L. Since the static charge variance for a length l region is given by ~ (1/pi^2) log l, this result reflects the underlying relativistic or conformal invariance and dynamical exponent z=1. With disorder and strongly localized fermions, the variance is also found to increase logarithmically in time, but with a different prefactor than in the clean case. For a small lattices, we find that the variance saturates at times t ~ t_d ~ L^2 a diffusive time scale. Despite the fact that 1-d fermions are fully localized for any disorder strength, the entanglement responsible for charge fluctuations appears to propagate with dynamical exponent z ~ 2.

Affiliated with

Also associated with

No associations

Rating

Full counting statistics in a disordered free fermion system 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 Full counting statistics in a disordered free fermion system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Full counting statistics in a disordered free fermion system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-253407