Density-Density Correlators in Infinite Random Matrices

Details Density-Density Correlators in Infinite Random Matrices Density-Density Correlators in Infinite Random Matrices

1997-12-02

arxiv.org/abs/chao-dyn/9712001v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, REVTeX, 2 PostScript figures

Scientific paper

Using the BRM theory developed recently by Fyodorov and Mirlin we calculate the density-density correlators for Banded Random Matrix of infinite size. Within the accuracy of $1/b^2$ ($b$ is the matrix bandwidth) it appears to be the same in both cases of orthogonal and unitary symmetry. Moreover, its form coincides exactly with the formula obtained long ago by Gogolin for electron density-density correlator in strictly 1D disordered metals. In addition to the ``fixed energy'' density-density correlator considered in the solid state physics we calculate also the ``time averaged'' one, which has different properties at small separations. Our predictions are compared with the existing numerical data.

Affiliated with

Also associated with

No associations

Rating

Density-Density Correlators in Infinite Random Matrices 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 Density-Density Correlators in Infinite Random Matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density-Density Correlators in Infinite Random Matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198088