Dynamical properties of the inorganic spin-Peierls compound ${\ensuremath{\alpha}}^{\ensuremath{'}}\ensuremath{-}{\mathrm{NaV}}_{2}{\mathrm{O}}_{5}$ are investigated using a one-dimensional dimerized Heisenberg model. By exact diagonalizations of chains with up to 28 sites, supplemented by a finite-size scaling analysis, the dimerization parameter \ensuremath{\delta} is determined by requiring that the model reproduces the experimentally observed spin gap \ensuremath{\Delta}. The dynamical and static spin structure factors are calculated. As for ${\mathrm{CuGeO}}_{3},$ the existence of a low-energy magnon branch separated from the continuum is predicted. The present calculations also suggest that a large magnetic Raman scattering intensity should appear above an energy threshold of 1.9\ensuremath{\Delta}. The predicted photoemission spectrum is qualitatively similar to results for an undimerized chain due to the presence of sizable short-range antiferromagnetic correlations.Dynamical properties of the inorganic spin-Peierls compound ${\ensuremath{\alpha}}^{\ensuremath{'}}\ensuremath{-}{\mathrm{NaV}}_{2}{\mathrm{O}}_{5}$ are investigated using a one-dimensional dimerized Heisenberg model. By exact diagonalizations of chains with up to 28 sites, supplemented by a finite-size scaling analysis, the dimerization parameter \ensuremath{\delta} is determined by requiring that the model reproduces the experimentally observed spin gap \ensuremath{\Delta}. The dynamical and static spin structure factors are calculated. As for ${\mathrm{CuGeO}}_{3},$ the existence of a low-energy magnon branch separated from the continuum is predicted. The present calculations also suggest that a large magnetic Raman scattering intensity should appear above an energy threshold of 1.9\ensuremath{\Delta}. The predicted photoemission spectrum is qualitatively similar to results for an undimerized chain due to the presence of sizable short-range antiferromagnetic correlations.

arXiv:cond-mat/9704015Physical review. B, Condensed matterSep 1, 199751 citations

Impurity-Induced States in Spin-Peierls Systems

Makoto J. Ohira, Akira Terai

Synthetic MetalsApr 1, 20030 citations

{\mathrm{CuGeO}}_{3},

the existence of a low-energy magnon branch separated from the continuum is predicted. The present calculations also suggest that a large magnetic Raman scattering intensity should appear above an energy threshold of 1.9\ensuremath{\Delta}. The predicted photoemission spectrum is qualitatively similar to results for an undimerized chain due to the presence of sizable short-range antiferromagnetic correlations.