2003/06/29 by Luca Capriotti · 4 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Eigenvalues and eigenvectors #Ferromagnetism #Ground state #Heisenberg model #High-pressure geophysics and materials #Lanczos resampling #Mathematics #Neutron scattering #Physics #Physics of Superconductivity and Magnetism #Quantization (signal processing) #Quantum mechanics #Scattering #Spin (aerodynamics) #Spin wave #cond-mat.str-el
paper · pdf · doi:10.1142/s0217979203023148
published in International Journal of Modern Physics B 17(27), 4819-4829 (World Scientific) · 10 pages, 3 figures
arxiv created 2003/06/29 · openalex publication_date 2003/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The ground-state and low-energy properties of the two-dimensional J 1 -J 2 Heisenberg model in the collinear phase are investigated using finite-size spin-wave theory [Q. F. Zhong and S. Sorella, Europhys. Lett.21, 629 (1993)], and Lanczos exact diagonalizations. For spin one-half — where the effects of quantization are the strongest — the spin-wave expansion turns out to be quantitatively accurate for J 2 /J 1 ≳0.8. In this regime, both the magnetic structure factor and the spin susceptibility are very close to the spin-wave predictions. The spin-wave estimate of the order parameter in the collinear phase, m † ≃0.3, is in remarkable agreement with recent neutron scattering measurements on Li 2 VOSiO 4 .