Programme

P.33 -- Poster, VCTP-44

Date: Tuesday, 30 July 2019

Time: 08:30 - 10:00

Transient super-slow power-law decay of the time-dependent reflection induced by correlations in semi-infinite disordered media

Thi Hong Vy Ngo (1) and Ba Phi Nguyen (2,*)

(1) Department of Physics, Quy Nhon University, Quy Nhon 820000, Vietnam (2) Department of Basic Sciences, Mientrung University of Civil Engineering, Tuy Hoa 620000, Vietnam (*) Email: nguyenbaphi@muce.edu.vn

We investigate numerically the time-dependent reflection properties of a wave packet at a boundary of a semi-infinite medium with long-range correlated disorder. In the absence of the long-range correlation, we reproduce the averaged time-dependent reflectance in such a system decays in time as a power law, $\langle R(t) \rangle\propto t^{-2}$, in the limit of long time.This is a signature of Anderson localization. However, when the long-range correlation is taken into acount, the above behavior is significantly modified. In particular, we find that the time evolution of the incident wave packet undergoes various diffusion regimes ($\langle R(t) \rangle\propto t^{-\alpha}$) with different power-law exponents. Moreover, this behavior strongly depends on the value of the central energy of the incident wave packet. Keywords: Anderson localization, time-dependent reflection, long-range correlation Reference: [1]. P. W. Anderson, Phys. Rev. 109, 1492 (1958). [2]. S. E. Skipetrov and A. Sinha, Phys. Rev. B 97, 104202 (2018). [3]. M. Titov and C. W. J. Beenakkaer, Phys. Rev. Lett. 85, 3388 (2000). [4]. F. A. B. F de moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998).

Presenter: Ngô Thị Hồng Vy