Phys. Rev. Lett. 87, 067209 (2001) [4 pages]Long-Range Order and Low-Energy Spectrum of Diluted 2D Quantum AntiferromagnetReceived 28 August 2000; published 24 July 2001 The problem of a diluted two-dimensional quantum antiferromagnet on a square lattice is studied using spin-wave theory. The influence of impurities on static and dynamic properties is investigated and a good agreement with experiments and Monte Carlo data is found. The hydrodynamic description of spin waves breaks down at characteristic wavelengths Λ≳exp(const/x), x being an impurity concentration, while the order parameter is free from anomalies. We argue that this dichotomy originates from strong scattering of the low-energy excitations in two dimensions. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.067209
DOI:
10.1103/PhysRevLett.87.067209
PACS:
75.10.Jm, 75.10.Nr, 75.40.Gb
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