Critical exponents of random XX and XY chains: Exact results via random walks

Details Critical exponents of random XX and XY chains: Exact results via random walks Critical exponents of random XX and XY chains: Exact results via random walks

1999-06-25

arxiv.org/abs/cond-mat/9906378v1

Europ. Phys. J. B 13, 409 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages RevTeX, 1 eps-figure included

Scientific paper

We study random XY and (dimerized) XX spin-1/2 quantum spin chains at their quantum phase transition driven by the anisotropy and dimerization, respectively. Using exact expressions for magnetization, correlation functions and energy gap, obtained by the free fermion technique, the critical and off-critical (Griffiths-McCoy) singularities are related to persistence properties of random walks. In this way we determine exactly the decay exponents for surface and bulk transverse and longitudinal correlations, correlation length exponent and dynamical exponent.

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