Critical behavior of the two-dimensional anisotropic Heisenberg antiferromagnet: A numerical test of spin-wave theory

Barnes, T.; Kj, Cappon; Dagotto, Elbio; Kotchan, D; Swanson, Eric S.

doi:10.1103/physrevb.40.8945

Cited by 21 publications

(6 citation statements)

References 52 publications

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“…This value agrees with Monte Carlo data from Ref. 50. On the other hand, Z c has been known since Oguchi's work, 53 and a number of high-precision calculations of Z c have become available recently.…”

Section: Meaningsupporting

confidence: 89%

“…We use the Monte Carlo result of Beard et al, Z c ϭ1.17. 6 As pointed out by Barnes et al, 50 the factor Z g can be physically understood by considering the effect of fluctuations. 56 Spin-wave theory assumes a classical Néel ground state with a perfectly ordered moment, and the resulting dispersion relation is for the spin waves propagating in such a background.…”

Section: Meaningmentioning

confidence: 92%

See 1 more Smart Citation

Neutron scattering study ofSr2Cu3O4
Kim
¹
,
Birgeneau
²
,
Chou
³

et al. 2001
Phys. Rev. B
38
9
42
2
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We report a neutron scattering study on the tetragonal compound Sr 2 Cu 3 O 4 Cl 2 , which has two-dimensional ͑2D͒ interpenetrating Cu I and Cu II subsystems, each forming a Sϭ1/2 square lattice quantum Heisenberg antiferromagnet ͑SLQHA͒. The mean-field ground state is degenerate, since the intersubsystem interactions are geometrically frustrated. Magnetic neutron scattering experiments show that quantum fluctuations lift the degeneracy and cause a 2D Ising ordering of the Cu II subsystem. Due to quantum fluctuations a dramatic increase of the Cu I out-of-plane spin-wave gap is also observed. The temperature dependence and the dispersion of the spin-wave energy are quantitatively explained by spin-wave calculations which include quantum fluctuations explicitly. The values for the nearest-neighbor superexchange interactions between the Cu I and Cu II ions and between the Cu II ions are determined experimentally to be J I-II ϭϪ10(2) meV and J II ϭ10.5(5) meV, respectively. Due to its small exchange interaction J II , the 2D dispersion of the Cu II SLQHA can be measured over the whole Brillouin zone with thermal neutrons, and a dispersion at the zone boundary, predicted by theory, is confirmed. The instantaneous magnetic correlation length of the Cu II SLQHA is obtained up to a very high temperature, T/J II Ϸ0.75. This result is compared with several theoretical predictions as well as recent experiments on the Sϭ1/2 SLQHA.

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Section: Meaningsupporting

confidence: 89%

Section: Meaningmentioning

confidence: 92%

Neutron scattering study ofSr2Cu3O4
Kim
¹
,
Birgeneau
²
,
Chou
³

et al. 2001
Phys. Rev. B
38
9
42
2
View full text Add to dashboard Cite

show abstract

“…Another calculation under consideration is the energy gap of the excited states near the critical point in the LSUBm scheme. Our result [3] for the energy gap in the SUB2 scheme is quite similar to that of spin-wave theory, but higher-order multi-spin correlations have been proved to be significant [6,12].…”

supporting

confidence: 82%

Systematic Inclusion of High-Order Multispin Correlations for the Spin-½XXZModels

1994

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We apply the microscopic coupled-cluster method (CCM) to the spin-1 2 XXZ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us previously, we carry out high-order ab initio calculations using computer-algebraic techniques. The ground-state properties of the models are obtained with high accuracy as functions of the anisotropy parameter. Furthermore, our CCM analysis enables us to study their quantum critical behavior in a systematic and unbiased manner.

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“…yielding a linear dispersion for ω(q) at small q (the occurrence of gapless spin excitations for the easy plane antiferromagnet has been recently pointed out in ref. [29]).…”

Section: Results For the Anisotropic Heisenberg Medelmentioning

confidence: 99%

Spin excitations and sum rules in the Heisenberg antiferromagnet

Stringari

1994

Phys. Rev. B

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Various bounds for the energy of collective excitations in the Heisenberg antiferromagnet are presented and discussed using the formalism of sum rules. We show that the Feynman approximation significantly overestimates (by about 30% in the S = 1 2 square lattice) the spin velocity due to the non negligible contribution of multi magnons to the energy weighted sum rule. We also discuss a different, Goldstone type bound depending explicitly on the order parameter (staggered magnetization). This bound is shown to be proportional to the dispersion of classical spin wave theory with a q-independent normalization factor. Rigorous bounds for the excitation energies in the anisotropic Heisenberg model are also presented.

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Critical behavior of the two-dimensional anisotropic Heisenberg antiferromagnet: A numerical test of spin-wave theory

Cited by 21 publications

References 52 publications

Neutron scattering study ofSr2Cu3O4
Kim
¹
,
Birgeneau
²
,
Chou
³

et al. 2001
Phys. Rev. B
38
9
42
2
View full text Add to dashboard Cite

Neutron scattering study ofSr2Cu3O4
Kim
¹
,
Birgeneau
²
,
Chou
³

et al. 2001
Phys. Rev. B
38
9
42
2
View full text Add to dashboard Cite

Systematic Inclusion of High-Order Multispin Correlations for the Spin-½XXZModels

Spin excitations and sum rules in the Heisenberg antiferromagnet

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Critical behavior of the two-dimensional anisotropic Heisenberg antiferromagnet: A numerical test of spin-wave theory

Cited by 21 publications

References 52 publications

Neutron scattering study ofSr2Cu3O4Kim1, Birgeneau2, Chou3 et al. 2001Phys. Rev. B389422View full textAdd to dashboardCite

Neutron scattering study ofSr2Cu3O4Kim1, Birgeneau2, Chou3 et al. 2001Phys. Rev. B389422View full textAdd to dashboardCite

Systematic Inclusion of High-Order Multispin Correlations for the Spin-½XXZModels

Spin excitations and sum rules in the Heisenberg antiferromagnet

Contact Info

Product

Resources

About

Neutron scattering study ofSr2Cu3O4
Kim
¹
,
Birgeneau
²
,
Chou
³

et al. 2001
Phys. Rev. B
38
9
42
2
View full text Add to dashboard Cite

Neutron scattering study ofSr2Cu3O4
Kim
¹
,
Birgeneau
²
,
Chou
³

et al. 2001
Phys. Rev. B
38
9
42
2
View full text Add to dashboard Cite