Date of this Version
Physical Review Letters
Connecting perfect one-dimensional leads to sites i and j on the quantum percolation (QP) model, we calculate the transmission coefficient Tij(E) at an energy E near the band center and the averages of ΣijTij, Σijr2ijTij, and Σijr4ijTij to tenth order in the concentration p. In three dimensions, all three series diverge at pq=0.36+0.01−0.02, with exponents γ=0.82+0.10−0.15, γ+2ν, and γ+4ν. We find ν=0.38±0.07, differing from “usual” Anderson localization and violating the bound ν≥2/d of Chayes et al. [Phys. Rev. Lett. 57, 2999 (1986)]. Thus, QP belongs to a new universality class.
Chang, I., Lev, Z., Harris, A., Adler, J., & Aharony, A. (1995). Localization Length Exponent in Quantum Percolation. Physical Review Letters, 74 (11), 2094-2097. http://dx.doi.org/10.1103/PhysRevLett.74.2094
Date Posted: 20 August 2015
This document has been peer reviewed.