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College Park, Maryland      June 6 - 10 , 2004

MP47: Quantum Percolation in a Two-Dimensional Heisenberg Antiferromagnet

O. P. Vajk (NIST Center for Neutron Research), P. K. Mang (Department of Applied Physics, Stanford University), M. Greven (Department of Applied Physics and Stanford Synchrotron Radiation Laboratory, Stanford, CA 94305), J. W. Lynn (NIST Center for Neutron Research)

The study of quantum phase transitions in the presence of disorder is at the forefront of research in the field of strongly correlated electron systems, yet there have been relatively few experimental model systems. One important class of model systems for studying the effects of quenched disorder is magnetic materials with random site dilution. Percolation in classical high-spin magnetic systems has been studied extensively, and magnetic order persists in these materials up to the percolation threshold. The spin-1/2 square-lattice Heisenberg antiferromagnet (SLHAF) is of particular interest because of its connection to high-temperature superconductivity. Previous results for magnetic dilution in the spin-1/2 SLHAF have been confined to dilution levels well below the percolation threshold, leaving many questions about this complex quantum-impurity problem unanswered.

Single crystals of La2Cu1-p(Zn,Mg)pO4 at concentrations up to and beyond the site percolation threshold provide the first experimental realization of quantum percolation in a spin-1/2 SLHAF. Complementary magnetometry, neutron scattering, and numerical experiments demonstrate that La2Cu1-p(Zn,Mg)pO4 is an excellent model material for studying this problem in the low-spin limit. Measurements of the ordered moment and spin correlations provide important quantitative information for tests of theories for this complex quantum-impurity problem. Quantum Monte Carlo results for the bilayer Heisenberg antiferromagnet allow the determination of the quantum-fluctuation versus geometric-disorder phase diagram, and indicate that the properties of La2Cu1-p(Zn,Mg)pO4 near the percolation threshold are controlled by the effective proximity to a new quantum critical point.

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