Article

Critical state of the Anderson transition: between a metal and an insulator.

Laboratoire Kastler Brossel, UPMC-Paris 6, ENS, CNRS
Physical Review Letters (Impact Factor: 7.73). 08/2010; 105(9):090601. DOI: 10.1103/PHYSREVLETT.105.090601
Source: arXiv

ABSTRACT Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the time evolution of an initially localized wave packet and show that it displays at the critical point a scaling invariance characteristic of this second-order phase transition. The shape of the momentum distribution at the critical point is found to be in excellent agreement with the analytical form deduced from the self-consistent theory of localization.

0 Followers
 · 
81 Views
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We present a detailed numerical and theoretical analysis of the recently discovered phenomenon of coherent forward scattering. This effect manifests itself as a macroscopic interference peak in the forward direction of the momentum distribution of a matter wave launched with finite velocity in a random potential. Focusing on the two-dimensional case, we show that coherent forward scattering generally arises due the confinement of the wave in a finite region of space, and explain under which conditions it can be seen as a genuine signature of Anderson localization.
    Physical Review A 12/2014; 90:063602. DOI:10.1103/PhysRevA.90.063602 · 2.99 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we study the dynamics of a one-electron in a one-dimensional (1d) alloy with a correlated Ornstein–Uhlenbeck (OU) disorder distribution. The model considered here corre-sponds to an alloy with three types of atoms where the position of each atom is obtained using a stochastic rule based on the OU process. We analyze in detail the e®ect of this correlated disorder in the optical absorption spectrum and the level spacing statistics near the band center. Our results reveal a new collection of optical absorption peaks. We explain in details the appearance of each peak. Our calculations about the level spacing's distribution reveals a Poisson distribution thus contradicting previous statements about the existence of extended states in ternary electronic models with correlated disorder distribution.
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We study relevant perturbations at the spin quantum Hall critical point using a network model formulation. The model has been previously mapped to classical percolation on a square lattice, and we use the mapping to extract exact analytical values of the scaling dimensions of the relevant perturbations. We find that several perturbations that are distinct in the network model formulation correspond to the same operator in the percolation picture. We confirm our analytical results by comparing them with numerical simulations of the network model.
    Physical Review B 12/2014; 91(3). DOI:10.1103/PhysRevB.91.035435 · 3.66 Impact Factor

Preview (2 Sources)

Download
0 Downloads
Available from