Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-09-28
Phys. Rev. B 81, 054417 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
23 pages, 21 figures
Scientific paper
10.1103/PhysRevB.81.054417
We present several different calculations pertaining to the nature of the low-energy excitations of the site-diluted S=1/2 Heisenberg antiferromagnet, in particular at the percolation point. We present a picture of excitations originating from an effective low-energy subsystem consisting of localized magnetic moments. At the percolation point, these moments lead to an anomalously large dynamic exponent; z=3.6(1). The magnetic moments are shown to originate from local sublattice imbalance, which we study quantitatively using a classical dimer-monomer model. The localization properties of triplet excitations of clusters with singlet ground state are examined using simulations in the valence bond basis. The triplet is shown to affect predominantly sites on the classical monomer regions. The number of sites affected grows as a non-trivial power of the cluster size. We also study a bilayer model, where there is no sublattice imbalance. Accordingly, we find a much smaller dynamic exponent, consistent with quantum rotor (or possibly fracton) excitations.
Sandvik Anders. W.
Wang Lanjuan
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