Critical dynamics and multifractal exponents at the Anderson transition in 3d disordered systems
| dc.creator | Brandes, Tobias | |
| dc.creator | Huckestein, Bodo | |
| dc.creator | Schweitzer, Ludwig | |
| dc.date | 1996-05-10 | |
| dc.date.accessioned | 2026-07-07T03:08:33Z | |
| dc.date.available | 2026-07-07T03:08:33Z | |
| dc.description | We investigate the dynamics of electrons in the vicinity of the Anderson transition in $d=3$ dimensions. Using the exact eigenstates from a numerical diagonalization, a number of quantities related to the critical behavior of the diffusion function are obtained. The relation $η= d-D_{2}$ between the correlation dimension $D_{2}$ of the multifractal eigenstates and the exponent $η$ which enters into correlation functions is verified. Numerically, we have $η\approx 1.3$. Implications of critical dynamics for experiments are predicted. We investigate the long-time behavior of the motion of a wave packet. Furthermore, electron-electron and electron-phonon scattering rates are calculated. For the latter, we predict a change of the temperature dependence for low $T$ due to $η$. The electron-electron scattering rate is found to be linear in $T$ and depends on the dimensionless conductance at the critical point. | |
| dc.description | 21 pages, Revtex with epsf, 5 figures included as Postscript files, to appear in Ann. Physik | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9605062 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9605062 | |
| dc.identifier | Ann. Physik 5, 633-651 (1996) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27537 | |
| dc.subject | Condensed Matter | |
| dc.title | Critical dynamics and multifractal exponents at the Anderson transition in 3d disordered systems | |
| dc.type | text |