Spin excitations in the S=1/2 Heisenberg antiferromagnetic model on a square lattice
A F Barabanov; L A Maksimov; O A Starykh; G V Uimin; A F Barabanov; Vereschagin Inst. for High Pressure Phys., Moscow, USSR; L A Maksimov; Vereschagin Inst. for High Pressure Phys., Moscow, USSR; O A Starykh; Vereschagin Inst. for High Pressure Phys., Moscow, USSR; G V Uimin; Vereschagin Inst. for High Pressure Phys., Moscow, USSR
Журнал:
Journal of Physics: Condensed Matter
Дата:
1990-11-12
Аннотация:
The authors investigate the properties of the two-dimensional quantum S=1/2 Heisenberg antiferromagnetic model on a square lattice by means of a block approach. The lattice is divided into four spin square blocks and the Hamiltonian is expressed in terms of low-energy block states. In the framework of the mean-field theory based on the 'auxiliary-boson' formalism; they show that the spin excitation spectrum contains one singlet mode with the temperature-dependent gap and three degenerate triplet modes. The asymptotic low-temperature spin-spin correlations are proportional to R<sup>-3/2</sup> exp(-R(1/ xi <sub>1</sub>+1/ xi <sub>2</sub>)), where xi <sub>1</sub>=exp(A/T), xi <sub>2</sub>=constant and A approximately=0.5J. The uniform susceptibility tends to zero in agreement with numerical results; the energy per site is close to -0.57J. Beyond the meanfield theory the authors find gapless collective excitations analogous to the gapless mode in the neutral Fermi gas with attraction.
498.0Кб