Geometry fluctuations in a two-dimensional quantum antiferromagnet

Details Geometry fluctuations in a two-dimensional quantum antiferromagnet Geometry fluctuations in a two-dimensional quantum antiferromagnet

2011-11-14

arxiv.org/abs/1111.3286v3

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 7 figures. Shortened and corrected version (as accepted for publication in Physical Review B)

Scientific paper

The paper considers the effects of random fluctuations of the local spin connectivities (fluctuations of the geometry) on ground state properties of a two-dimensional quantum antiferromagnet. We analyse the behavior of spins described by the Heisenberg model as a function of what we call phason flip disorder, following a terminology used for aperiodic systems. The calculations were carried out both within linear spin wave theory and using quantum Monte Carlo simulations. An "order by disorder" phenomenon is observed in this model, wherein antiferromagnetism is found to be enhanced by phason disorder. The value of the staggered order parameter increases with the number of defects, accompanied by an increase in the ground state energy of the system.

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