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Spin-correlations and low lying excited states of the spin-1/2 Heisenberg antiferromagnet on a square lattice

Peter Horsch, Wolfgang von der Linden

Zeitschrift für Physik B Condensed MatterJun 1, 1988131 citations

Low-lying excitations in the S = 1 antiferromagnetic Heisenberg chain

Shoji Yamamoto, Seiji Miyashita

arXiv:cond-mat/9708197Physics Letters ANov 1, 199711 citations

The Excitations of One-Dimensional Spin 1/2 Antiferromagnets

Roger Arthur Cowley

Springer eBooksJan 1, 19980 citations

The spectral weight of low-lying excitations in the one-dimensional spin 1/2 Heisenberg antiferromagnet

J. C. Bonner, Bill Sutherland, Peter M. Richards

We have examined numerical calculations on a spin 1/2 one‐dimensional (1D) Heisenberg antiferromagnet for N=8 spins, both for the states and their spectral weights. This work is of interest because of the recent neutron scattering experiments in CuCl2⋅2NC5D5 which show the spectral weight to be concentrated at the des Cloizeaux and Pearson (dCP) spin wave frequencies. The states form a two‐parameter continuum between the dCp value E1(k) =π‖J‖ ‖sin k‖ and the upper limit E2(k) =2π‖J‖ ‖ sin(k/2) ‖. Though most of the spectral weight is at the dCP frequency for N=8, about 10% of it is found near E2 for k=π. There is no numerical evidence for the existence of singlet bound states as predicted by Ovchinnikov.We have examined numerical calculations on a spin 1/2 one‐dimensional (1D) Heisenberg antiferromagnet for N=8 spins, both for the states and their spectral weights. This work is of interest because of the recent neutron scattering experiments in CuCl2⋅2NC5D5 which show the spectral weight to be concentrated at the des Cloizeaux and Pearson (dCP) spin wave frequencies. The states form a two‐parameter continuum between the dCp value E1(k) =π‖J‖ ‖sin k‖ and the upper limit E2(k) =2π‖J‖ ‖ sin(k/2) ‖. Though most of the spectral weight is at the dCP frequency for N=8, about 10% of it is found near E2 for k=π. There is no numerical evidence for the existence of singlet bound states as predicted by Ovchinnikov.

AIP conference proceedingsJan 1, 19759 citations

Low-lying Photoexcited States of a One-Dimensional Ionic Extended Hubbard Model

横井浩太, Nobuya Maeshima, Ken-ichi Hino

We investigate the properties of low-lying photoexcited states of a one-dimensional (1D) ionic extended Hubbard model at half-filling. Numerical analysis by using the full and Lanczos diagonalization methods shows that, in the ionic phase, there exist low-lying photoexcited states below the charge transfer gap. As a result of comparison with numerical data for the 1D antiferromagnetic (AF) Heisenberg model, it was found that, for a small alternating potential Δ, these low-lying photoexcited states are spin excitations, which is consistent with a previous analytical study [Katsura et al., Phys. Rev. Lett. 103, 177402 (2009)]. As Δ increases, the spectral intensity of the 1D ionic extended Hubbard model rapidly deviates from that of the 1D AF Heisenberg model and it is clarified that this deviation is due to the neutral-ionic domain wall, an elementary excitation near the neutral-ionic transition point.We investigate the properties of low-lying photoexcited states of a one-dimensional (1D) ionic extended Hubbard model at half-filling. Numerical analysis by using the full and Lanczos diagonalization methods shows that, in the ionic phase, there exist low-lying photoexcited states below the charge transfer gap. As a result of comparison with numerical data for the 1D antiferromagnetic (AF) Heisenberg model, it was found that, for a small alternating potential Δ, these low-lying photoexcited states are spin excitations, which is consistent with a previous analytical study [Katsura et al., Phys. Rev. Lett. 103, 177402 (2009)]. As Δ increases, the spectral intensity of the 1D ionic extended Hubbard model rapidly deviates from that of the 1D AF Heisenberg model and it is clarified that this deviation is due to the neutral-ionic domain wall, an elementary excitation near the neutral-ionic transition point.

Journal of the Physical Society of JapanSep 22, 20172 citations

Gap of the linear spin-1 Heisenberg antiferromagnet: A Monte Carlo calculation

M. P. Nightingale, Henk W. J. Blöte

We have performed Monte Carlo calculations of the energies of several low-lying energy states of one-dimensional, spin-1 Heisenberg antiferromagnets with linear sizes up to n=32. Our results support Haldane's prediction that a gap exists in the excitation spectrum for n\ensuremath{\rightarrow}\ensuremath{\infty}. .AE

Physical review. B, Condensed matterJan 1, 1986412 citations

Spectral weight of low-lying excitations in the one-dimensional spin 1/2 Heisenberg antiferromagnet

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Spectral weight of low-lying excitations in the one-dimensional spin 1/2 Heisenberg antiferromagnet

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