Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-04-09
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 1 figure
Scientific paper
We present a theory of phase transition in quantum critical paraelectrics in the presence of a quenched random-Tc disorder using replica trick. The effects of locally ordered regions and their slow dynamics are included by breaking the replica symmetry at a vector level. The occurrence of a mixed phase at any finite value of disorder strength is argued and a a broad power law distribution of quantum critical points is predicted. Results are interesting in the context of a certain class of disordered materials near quantum phase transitions.
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