Title
Excitations And Quantum Fluctuations In Site-Diluted Two-Dimensional Antiferromagnets
Abstract
We study the effect of site dilution and quantum fluctuations in an antiferromagnetic spin system on a square lattice within the linear spin-wave approximation. By performing numerical diagonalization in real space and finite-size scaling, we characterize the nature of the low-energy spin excitations for different dilution fractions up to the classical percolation threshold. We find nontrivial signatures of fractonlike excitations at high frequencies. Our simulations also confirm the existence of an upper bound for the amount of quantum fluctuations in the ground state of the system, leading to the persistence of long-range order up to the percolation threshold. This result is in agreement with recent neutron-scattering experimental data and quantum Monte Carlo numerical calculations. We also show that the absence of a quantum critical point below the classical percolation threshold holds for a large class of systems whose Hamiltonians can be mapped onto a system of coupled noninteracting massless bosons.
Publication Date
6-1-2004
Publication Title
Physical Review B - Condensed Matter and Materials Physics
Volume
69
Issue
21
Number of Pages
-
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1103/PhysRevB.69.214424
Copyright Status
Unknown
Socpus ID
42749107038 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/42749107038
STARS Citation
Mucciolo, Eduardo R.; Castro Neto, A. H.; and Chamon, Claudio, "Excitations And Quantum Fluctuations In Site-Diluted Two-Dimensional Antiferromagnets" (2004). Scopus Export 2000s. 5170.
https://stars.library.ucf.edu/scopus2000/5170