Griffiths-McCoy singularities in random quantum spin chains: Exact results

Details Griffiths-McCoy singularities in random quantum spin chains: Exact results Griffiths-McCoy singularities in random quantum spin chains: Exact results

2008-03-18

arxiv.org/abs/0803.2617v1

Phys. Rev. B77, 144203 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.77.144203

We consider random quantum (tight-binding, XX and Ising) spin chains in the off-critical region and study their Griffiths-McCoy singularities. These are obtained from the density of states of the low-energy excitations, which is calculated exactly by the Dyson-Schmidt method. In large finite systems the low-energy excitations are shown to follow the statistics of extremes and their distribution is given by the Fr\'echet form. Relation between the Dyson-Schmidt technique and the strong disorder renormalization group method is also discussed.

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