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Phys. Rev. Lett. 86, 528–531 (2001)

High-Energy Magnon Dispersion and Multimagnon Continuum in the Two-Dimensional Heisenberg Antiferromagnet

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Anders W. Sandvik1,* and Rajiv R. P. Singh2
1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801
2Department of Physics, University of California, Davis, California 95616

Received 1 June 2000; published in the issue dated 15 January 2001

We use quantum Monte Carlo simulations and numerical analytic continuation to study high-energy spin excitations in the two-dimensional S = 1/2 Heisenberg antiferromagnet at low temperature. We present results for both the transverse (x) and longitudinal (z) dynamic spin structure factors Sx,z(q,ω) at q = (π,0) and (π/2,π/2). Linear spin-wave theory predicts no dispersion on the line connecting these momenta. Our calculations show that in fact the magnon energy at (π,0) is 10% lower than at (π/2,π/2). We also discuss the transverse and longitudinal multimagnon continua and their relevance to neutron scattering experiments.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.528
DOI:
10.1103/PhysRevLett.86.528
PACS:
75.40.Gb, 75.10.Jm, 75.40.Mg, 75.30.Ds

*Present address: Department of Physics, Åbo Akademi University, Porthansgatan 3, FIN-20500 Turku, Finland.