Phys. Rev. Lett. 90, 177205 (2003) [4 pages]Quantum Antiferromagnetism in QuasicrystalsReceived 3 October 2002; published 2 May 2003 The antiferromagnetic Heisenberg model is studied on a two-dimensional bipartite quasiperiodic lattice. Using the stochastic series expansion quantum Monte Carlo method, the distribution of local staggered magnetic moments is determined on finite square approximants with up to 1393 sites, and a nontrivial inhomogeneous ground state is found. A hierarchical structure in the values of the moments is observed which arises from the self-similarity of the quasiperiodic lattice. The computed spin structure factor shows antiferromagnetic modulations that can be measured in neutron scattering and nuclear magnetic resonance experiments. This generic model is a first step towards understanding magnetic quasicrystals such as the recently discovered Zn-Mg-Ho icosahedral structure. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.177205
DOI:
10.1103/PhysRevLett.90.177205
PACS:
75.10.Jm, 71.23.Ft, 71.27.+a
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.