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

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

2000-05-23

arxiv.org/abs/cond-mat/0005375v1

Physics

Condensed Matter

Statistical Mechanics

4 pages RevTeX, 2 figures included

Scientific paper

10.1103/PhysRevLett.86.1343

The Ma-Dasgupta-Hu renormalization group (RG) scheme is used to study singular quantities in the Griffiths phase of random quantum spin chains. For the random transverse-field Ising spin chain we have extended Fisher's analytical solution to the off-critical region and calculated the dynamical exponent exactly. Concerning other random chains we argue by scaling considerations that the RG method generally becomes asymptotically exact for large times, both at the critical point and in the whole Griffiths phase. This statement is checked via numerical calculations on the random Heisenberg and quantum Potts models by the density matrix renormalization group method.

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