Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-05-25
Phys. Rev. B 60 (1999) 12116
Physics
Condensed Matter
Statistical Mechanics
14 pages including 8 figures, REVTeX, submitted to Physical Review B
Scientific paper
10.1103/PhysRevB.60.12116
We calculate the ground-state two-spin correlation functions of spin-1/2 quantum Heisenberg chains with random exchange couplings using the real-space renormalization group scheme. We extend the conventional scheme to take account of the contribution of local higher multiplet excitations in each decimation step. This extended scheme can provide highly accurate numerical data for large systems. The random average of staggered spin correlations of the chains with random antiferromagnetic (AF) couplings shows algebraic decay like $1/r^2$, which verifies the Fisher's analytic results. For chains with random ferromagnetic (FM) and AF couplings, the random average of generalized staggered correlations is found to decay more slowly than a power-law, in the form close to $1/\ln(r)$. The difference between the distribution functions of the spin correlations of the random AF chains and of the random FM-AF chains is also discussed.
Furusaki Akira
Hikihara Toshiya
Sigrist Manfred
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