Quantum percolation of one-electron states in power-law diluted chains

AUTOR(ES)

Silva Jr., M. P. da, Albuquerque, S. S., Moura, F. A. B. F. de, Lyra, M. L.

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2008-03

RESUMO

We investigate the nature of one-electron eigenstates in power-law diluted chains for which the probability of occurrence of a bond between sites separated by a distance r decays as p(r) = 1/r1+sigma. Using an exact diagonalization scheme on finite chains, we compute the spreading of an initially localized wave-packet, the time dependent participation number as well as the return probability. Our results show the existence of a phase of extended states. By considering the scale invariance of the fluctuations of the participation number at the Anderson transition, we obtained that extended states emerges for sigma < 0.68. This limiting value is larger than the one reported in the literature for the emergence of extended states in one-dimensional Anderson models with power-law decaying couplings.

Documentos Relacionados

• Hamilton-Jacobi approach for power-law potentials
• Power-law for axon diameters at branch point
• Passive mechanical behavior of human neutrophils: power-law fluid.
• Friction losses in valves and fittings for power-law fluids
• THE FORMATION BEHAVIOR OF A SINGLE BUBBLE IN POWER-LAW FLUIDS