Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice

Details Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice

1998-03-23

arxiv.org/abs/cond-mat/9803270v1

J. Phys. Soc. Jpn. 67, 2761 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

21 LaTeX (JPSJ macros included), 12 eps-figures included

Scientific paper

10.1143/JPSJ.67.2671

The site-diluted transverse field Ising model in two dimensions is studied with Quantum-Monte-Carlo simulations. Its phase diagram is determined in the transverse field (Gamma) and temperature (T) plane for various (fixed) concentrations (p). The nature of the quantum Griffiths phase at zero temperature is investigated by calculating the distribution of the local zero-frequency susceptibility. It is pointed out that the nature of the Griffiths phase is different for small and large Gamma.

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