Study of the localization-delocalization transition for phonons via transfer matrix method techniques

Details Study of the localization-delocalization transition for phonons via transfer matrix method techniques Study of the localization-delocalization transition for phonons via transfer matrix method techniques

2011-02-03

arxiv.org/abs/1102.0790v1

J. Phys.: Conf. Ser. 286, 012025, (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures, 1 table, conference proceedings

Scientific paper

10.1088/1742-6596/286/1/012025

We use a transfer-matrix method to study the localization properties of vibrations in a `mass and spring' model with simple cubic lattice structure. Disorder is applied as a box-distribution to the force-constants $k$ of the springs. We obtain the reduced localization lengths $\Lambda_M$ from calculated Lyapunov exponents for different system widths to roughly locate the squared critical transition frequency $\omega_{\text{c}}^2$. The data is finite-size scaled to acquire the squared critical transition frequency of $\omega_{\text{c}}^2 = 12.54 \pm 0.03$ and a critical exponent of $\nu = 1.55 \pm 0.002$.

Affiliated with

Also associated with

No associations

Rating

Study of the localization-delocalization transition for phonons via transfer matrix method techniques 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 Study of the localization-delocalization transition for phonons via transfer matrix method techniques, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Study of the localization-delocalization transition for phonons via transfer matrix method techniques will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-491044