Quantum phase transitions of the diluted O(3) rotor model

Details Quantum phase transitions of the diluted O(3) rotor model Quantum phase transitions of the diluted O(3) rotor model

2006-06-06

arxiv.org/abs/cond-mat/0606154v3

Phys. Rev. B 74, 094415 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 14 eps figures, final version as published

Scientific paper

10.1103/PhysRevB.74.094415

We study the phase diagram and the quantum phase transitions of a site-diluted two-dimensional O(3) quantum rotor model by means of large-scale Monte-Carlo simulations. This system has two quantum phase transitions, a generic one for small dilutions, and a percolation transition across the lattice percolation threshold. We determine the critical behavior for both transitions and for the multicritical point that separates them. In contrast to the exotic scaling scenarios found in other random quantum systems, all these transitions are characterized by finite-disorder fixed points with power-law scaling. We relate our findings to a recent classification of phase transitions with quenched disorder according to the rare region dimensionality, and we discuss experiments in disordered quantum magnets.

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