Spin-correlations and low lying excited states of the spin-1/2 Heisenberg antiferromagnet on a square lattice. Horsch, P. & von der Linden, W. Zeitschrift für Physik B Condensed Matter, 72(2):181–193, 1988. doi abstract bibtex The ground state and the lowest excited states of the spin 1/2-Heisenberg model are investigated by exact diagonalization and variational Monte Carlo techniques. Our trial state represents a generalization of a wave function introduced by Hulthen, Kasteleijn and Marshall. The long range character of the spin-correlation function is in excellent agreement with exact diagonalization and also with recent neutron scattering results for La2CuO4. The asymptotic behavior of the spin-correlation function is found to differ from spin-wave theory. From the exact (N<=20 spins) and variational (N<=400) ground state energies we determine as asymptotic values 1.3025 and 1.288, respectively. We calculate the dispersion for the spin-wave excitations and identify an excited triplet which becomes degenerate with the ground state in the thermodynamic limit. This triplet state allows spontaneous symmetry breaking to occur at T=0 K. Quantum fluctuations reduce the sublattice magnetization to an effective value of 0.195 (3) as compared to the Néel-state value of 1/2. \textcopyright 1988 Springer-Verlag.
@article{Horsch1988a,
abstract = {The ground state and the lowest excited states of the spin 1/2-Heisenberg model are investigated by exact diagonalization and variational Monte Carlo techniques. Our trial state represents a generalization of a wave function introduced by Hulthen, Kasteleijn and Marshall. The long range character of the spin-correlation function is in excellent agreement with exact diagonalization and also with recent neutron scattering results for La2CuO4. The asymptotic behavior of the spin-correlation function is found to differ from spin-wave theory. From the exact (N<=20 spins) and variational (N<=400) ground state energies we determine as asymptotic values 1.3025 and 1.288, respectively. We calculate the dispersion for the spin-wave excitations and identify an excited triplet which becomes degenerate with the ground state in the thermodynamic limit. This triplet state allows spontaneous symmetry breaking to occur at T=0 K. Quantum fluctuations reduce the sublattice magnetization to an effective value of 0.195 (3) as compared to the N{\'{e}}el-state value of 1/2. {\textcopyright} 1988 Springer-Verlag.},
author = {Horsch, P. and von der Linden, W.},
doi = {10.1007/BF01312134},
issn = {07223277},
journal = {Zeitschrift f{\"{u}}r Physik B Condensed Matter},
number = {2},
pages = {181--193},
title = {{Spin-correlations and low lying excited states of the spin-1/2 Heisenberg antiferromagnet on a square lattice}},
volume = {72},
year = {1988}
}
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