Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-05-10
J. Phys.: Condens. Matter 22, 216003 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 2 figures
Scientific paper
10.1088/0953-8984/22/21/216003
The spectrum of short-wavelength magnons in two-dimensional quantum Heisenberg antiferromagnet on a square lattice is calculated in the third order in $1/S$ expansion. It is shown that $1/S$ series for $S=1/2$ converges fast in the whole Brillouin zone except for the neighborhood of the point ${\bf k}=(\pi,0)$, at which absolute values of the third and the second order $1/S$-corrections are approximately equal to each other. It is shown that the third order corrections make deeper the roton-like local minimum at ${\bf k}=(\pi,0)$ improving the agreement with the recent experiments and numerical results in the neighborhood of this point. It is suggested that $1/S$ series converges slowly near ${\bf k}=(\pi,0)$ also for $S=1$ although the spectrum renormalization would be small in this case due to very small values of high-order $1/S$ corrections.
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