Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet
K. Lefmann, P. Hedegård
In this paper we use a Schwinger-boson mean-field approach to calculate the neutron-scattering cross section from the S = 1/2 antiferromagnet with nearest-neighbor isotropic Heisenberg interaction on a two-dimensional triangular lattice. We investigate two solutions for T = 0: (i) a state with long-range order resembling the Neel state and (ii) a resonating valence bond or ''spin liquid'' state with an energy gap, E(g) almost-equal-to 0.17J, for the elementary excitations (spinons). For solution (ii) the neutron cross section shows Bragg rods at kappa = K = (1/3, 1/3), whereas solution (ii) shows no elastic, but a set of broader dispersive spin excitations around kappa almost-equal-to (1/2, 0) and around kappa almost-equal-to (1/3, 1/3) for omega/E(g) = 2.5-4. It should thus be possible to distinguish these two states in a neutron-scattering experiment.
Physical Review B
https://doi.org/10.1103/PhysRevB.50.1074
10.1103/PhysRevB.50.1074
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Neutron Scattering Physics 100%
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Lefmann, K., & Hedegård, P. (1994). Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet. Physical Review B, 50(2), 1074-1083. https://doi.org/10.1103/PhysRevB.50.1074
Lefmann, K. ; Hedegård, P. / Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet. In: Physical Review B. 1994 ; Vol. 50, No. 2. pp. 1074-1083.
@article{6656c9b91a3b4ca39d365ddc248fc71b,
title = "Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet",
abstract = "In this paper we use a Schwinger-boson mean-field approach to calculate the neutron-scattering cross section from the S = 1/2 antiferromagnet with nearest-neighbor isotropic Heisenberg interaction on a two-dimensional triangular lattice. We investigate two solutions for T = 0: (i) a state with long-range order resembling the Neel state and (ii) a resonating valence bond or ''spin liquid'' state with an energy gap, E(g) almost-equal-to 0.17J, for the elementary excitations (spinons). For solution (ii) the neutron cross section shows Bragg rods at kappa = K = (1/3, 1/3), whereas solution (ii) shows no elastic, but a set of broader dispersive spin excitations around kappa almost-equal-to (1/2, 0) and around kappa almost-equal-to (1/3, 1/3) for omega/E(g) = 2.5-4. It should thus be possible to distinguish these two states in a neutron-scattering experiment.",
keywords = "Materialer med s{\ae}rlige fysiske og kemiske egenskaber",
author = "K. Lefmann and P. Hedeg{\aa}rd",
doi = "10.1103/PhysRevB.50.1074",
journal = "Physical Review B-Condensed Matter",
Lefmann, K & Hedegård, P 1994, 'Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet', Physical Review B, vol. 50, no. 2, pp. 1074-1083. https://doi.org/10.1103/PhysRevB.50.1074
Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet. / Lefmann, K.; Hedegård, P.
In: Physical Review B, Vol. 50, No. 2, 1994, p. 1074-1083.
T1 - Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet
AU - Lefmann, K.
AU - Hedegård, P.
N2 - In this paper we use a Schwinger-boson mean-field approach to calculate the neutron-scattering cross section from the S = 1/2 antiferromagnet with nearest-neighbor isotropic Heisenberg interaction on a two-dimensional triangular lattice. We investigate two solutions for T = 0: (i) a state with long-range order resembling the Neel state and (ii) a resonating valence bond or ''spin liquid'' state with an energy gap, E(g) almost-equal-to 0.17J, for the elementary excitations (spinons). For solution (ii) the neutron cross section shows Bragg rods at kappa = K = (1/3, 1/3), whereas solution (ii) shows no elastic, but a set of broader dispersive spin excitations around kappa almost-equal-to (1/2, 0) and around kappa almost-equal-to (1/3, 1/3) for omega/E(g) = 2.5-4. It should thus be possible to distinguish these two states in a neutron-scattering experiment.
AB - In this paper we use a Schwinger-boson mean-field approach to calculate the neutron-scattering cross section from the S = 1/2 antiferromagnet with nearest-neighbor isotropic Heisenberg interaction on a two-dimensional triangular lattice. We investigate two solutions for T = 0: (i) a state with long-range order resembling the Neel state and (ii) a resonating valence bond or ''spin liquid'' state with an energy gap, E(g) almost-equal-to 0.17J, for the elementary excitations (spinons). For solution (ii) the neutron cross section shows Bragg rods at kappa = K = (1/3, 1/3), whereas solution (ii) shows no elastic, but a set of broader dispersive spin excitations around kappa almost-equal-to (1/2, 0) and around kappa almost-equal-to (1/3, 1/3) for omega/E(g) = 2.5-4. It should thus be possible to distinguish these two states in a neutron-scattering experiment.
KW - Materialer med særlige fysiske og kemiske egenskaber
U2 - 10.1103/PhysRevB.50.1074
DO - 10.1103/PhysRevB.50.1074
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
Lefmann K, Hedegård P. Neutron-scattering cross section of the S=1/2 Heisenberg triangular antiferromagnet. Physical Review B. 1994;50(2):1074-1083. doi: 10.1103/PhysRevB.50.1074