Phys. Rev. Lett. 90, 147204 (2003) [4 pages]Singlet Excitations in Pyrochlore: A Study of Quantum FrustrationReceived 17 June 2002; published 10 April 2003 We apply the contractor renormalization (CORE) method to the spin half Heisenberg antiferromagnet on the frustrated checkerboard and pyrochlore lattices. Their ground states are spin-gapped singlets which break lattice symmetry. Their effective Hamiltonians describe fluctuations of orthogonal singlet pairs on tetrahedral blocks, at an emergent low energy scale. We discuss low temperature thermodynamics and new interpretations of finite size numerical data. We argue that our results are common to many models of quantum frustration. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.147204
DOI:
10.1103/PhysRevLett.90.147204
PACS:
75.10.Jm, 75.10.Hk, 75.30.Ds
|
|
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.