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Localization Length Exponent in Quantum Percolation
Chang ,Iksoo,Lev, Zvi,Harris, A.B.,Adler, Joan,Aharony, Amnon 부산대학교 기초과학연구소 1995 부산대학교 기초과학연구소 연구논문집 Vol.15 No.-
Connecting perfect one-dimensional leads to sites i and j on the quantum percolation (QP) model, we calculate the transmission coefficient T_(ij)(E) atan energy E near the band center and the averages of ∑_(ij)T_(ij),∑_(ij)r²_(ij)T_(ij), and ∑_(ij)r⁴_(ij)T_(ij) to tenth order in the concentration p. In three dimensions, all three seried diverge at P_(q)=0.36^(+0.01)_(-0.02), with exponents τ=0.82^(+0.10)_(-0.15), τ+2ν. and τ+4ν. We find ν=0.38 ±0.07, differing from "usual" Anderson localization and violationg the bound ν ≥ 2/d of Chayer et al. [Phys. Rev. Lett. 57, 2999(1986)]. Thus, QP belongs to a new universality class.