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Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
2000
Physical Review B (Condensed Matter)
We study XY and dimerized XX spin-1/2 chains with random exchange couplings by analytical and numerical methods and scaling considerations. We extend previous investigations to dynamical properties, to surface quantities and operator profiles, and give a detailed analysis of the Griffiths phase. We present a phenomenological scaling theory of average quantities based on the scaling properties of rare regions, in which the distribution of the couplings follows a surviving random walk character.
doi:10.1103/physrevb.61.11552
fatcat:cry2dichkjar7k65rvjxomh4ny