Infinite disorder scaling of random quantum magnets in three and higher dimensions

Details Infinite disorder scaling of random quantum magnets in three and higher dimensions Infinite disorder scaling of random quantum magnets in three and higher dimensions

2010-10-12

arxiv.org/abs/1010.2344v2

Phys. Rev. B83, 174207 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 5 figures

Scientific paper

Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising model in three and four dimensions, as well as for Erd\H os-R\'enyi random graphs, which represent infinite dimensional lattices. In all studied cases an infinite disorder quantum critical point is identified, which ensures that the applied method is asymptotically correct and the calculated critical exponents tend to the exact values for large scales. We have found that the critical exponents are independent of the form of (ferromagnetic) disorder and they vary smoothly with the dimensionality.

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