Magnetization curve of a square-lattice Heisenberg antiferromagnet

Zhitomirsky, M. E.; Nikuni, Tetsuro

doi:10.1103/physrevb.57.5013

Cited by 112 publications

(150 citation statements)

References 10 publications

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“…II B the out-of-plane field case, H D z, is almost identical to the D = 0 case, considered in Ref. 28. Because of that, we are going to consider only the case of the in-plane field, H ⊥ D z.…”

Section: In-plane Fieldmentioning

confidence: 99%

“…As is noted in Ref. 28, the minimization of the classical energy ensures the absence of the terms linear in a, or a † in the expansion of the Hamiltonian (8). Then, the spin-wave Hamiltonian is readily diagonalized by the Bogolyubov transformation and takes the form:…”

Section: B Spectrum and Gapsmentioning

confidence: 99%

“…H/H s , while Figure 8 The overall field-dependence of the considered quantities is the same: quantum corrections are suppressed by the field. 28 For the case of the pure Heisenberg model (D = 0) the ground state above the saturation field (H ≥ H s ) is classical and all quantum corrections vanish at H = H s . Since in H ⊥ D configuration the DM interaction prevents the full spin polarization by the field, quantum effects survive in the region H > H s .…”

Section: General Featuresmentioning

confidence: 99%

“…To apply the spin-wave theory to the model (1) we follow the general prescription of Ref. 28. Namely, the rotating local reference frame for each sublattice is introduced in which the quantization axis z 0 is directed along the classical spin direction.…”

Section: B Spectrum and Gapsmentioning

confidence: 99%

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Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy

Chernyshev

2005

Phys. Rev. B

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We study the effects of external magnetic field on the properties of an ordered Heisenberg antiferromagnet with the Dzyaloshinskii-Moriya (DM) interaction. Using the spin-wave theory quantum correction to the energy, on-site magnetization, and uniform magnetization are calculated as a function of the field H and the DM anisotropy constant D. It is shown that the spin-wave excitations exhibit an unusual field-evolution of the gaps. This leads to various non-analytic dependencies of the quantum corrections on H and D. It is also demonstrated that, quite generally, the DM interaction suppresses quantum fluctuations, thus driving the system to a more classical ground state. Most of the discussion is devoted to the spin-S, two-dimensional square lattice antiferromagnet, whose S = 1 2 case is closely realized in K2V3O8 where at H = 0 the DM anisotropy is hidden by the easy-axis anisotropy but is revealed in a finite field. The theoretical results for the field-dependence of the spin-excitation gaps in this material are presented and the implications for other systems are discussed.

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Section: In-plane Fieldmentioning

confidence: 99%

Section: B Spectrum and Gapsmentioning

confidence: 99%

Section: General Featuresmentioning

confidence: 99%

Section: B Spectrum and Gapsmentioning

confidence: 99%

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Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy

Chernyshev

2005

Phys. Rev. B

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“…28 In recent years theoretical investigations have been extended to include effects of an external applied magnetic field. [29][30][31][32] Perhaps the most dramatic prediction of these studies is a decay of the single magnon spectrum into a two-magnon continuum for fields sufficiently close to the saturation field. 31 As is evident in the preceding paragraph, many of the interesting theoretical studies of the QSLHAF have involved detailed calculations of the dynamical properties.…”

mentioning

confidence: 99%

Magnetic excitation spectrum of the square latticeS=1∕2Heisenberg antiferromagnetK2V
Lumsden
¹
,
Nagler
²
,
Sales
³

et al. 2006
Phys. Rev. B
21
0
26
0
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We have explored the magnetic excitation spectrum of the S=1/2 square lattice Heisenberg antiferromagnet, K 2 V 3 O 8 , using both triple-axis and time-of-flight inelastic neutron scattering. The long-wavelength spin waves are consistent with the previously determined Hamiltonian for this material. A small energy gap of 72± 9 eV is observed at the antiferromagnetic zone center and the near-neighbor exchange constant is determined to be 1.08± 0.03 meV. A finite ferromagnetic interplanar coupling is observed along the crystallographic c axis with a magnitude of J c = −0.0036± 0.0006 meV. However, upon approaching the zone boundary, the observed excitation spectrum deviates significantly from the expectation of linear spin wave theory resulting in split modes at the ͑ /2, /2͒ zone boundary point. The effects of magnon-phonon interaction, orbital degrees of freedom, multimagnon scattering, and dilution/site randomness are considered in the context of the mode splitting. Unfortunately, no fully satisfactory explanation of this phenomenon is found and further theoretical and experimental work is needed.

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Frustrated Quantum Magnets

Lhuillier

Misguich

2002

High Magnetic Fields

140

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A description of different phases of two dimensional magnetic insulators is given.The first chapters are devoted to the understanding of the symmetry breaking mechanism in the semi-classical Néel phases. Order by disorder selection is illustrated. All these phases break SU (2) symmetry and are gapless phases with ∆S z = 1 magnon excitations.Different gapful quantum phases exist in two dimensions: the Valence Bond Crystal phases (VBC) which have long range order in local S=0 objects (either dimers in the usual Valence Bond acception or quadrumers..), but also Resonating Valence Bond Spin Liquids (RVBSL), which have no long range order in any local order parameter and an absence of susceptibility to any local probe. VBC have gapful ∆S = 0, or1 excitations, RVBSL on the contrary have deconfined spin-1/2 excitations. Examples of these two kinds of quantum phases are given in chapters 4 and 5. A special class of magnets (on the kagome or pyrochlore lattices) has an infinite local degeneracy in the classical limit: they give birth in the quantum limit to different behaviors which are illustrated and questionned in the last lecture.

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Magnetization curve of a square-lattice Heisenberg antiferromagnet

Cited by 112 publications

References 10 publications

Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy

Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy

Magnetic excitation spectrum of the square latticeS=1∕2Heisenberg antiferromagnetK2V
Lumsden
¹
,
Nagler
²
,
Sales
³

et al. 2006
Phys. Rev. B
21
0
26
0
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Frustrated Quantum Magnets

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Magnetization curve of a square-lattice Heisenberg antiferromagnet

Cited by 112 publications

References 10 publications

Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy

Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy

Magnetic excitation spectrum of the square latticeS=1∕2Heisenberg antiferromagnetK2VLumsden1, Nagler2, Sales3 et al. 2006Phys. Rev. B210260View full textAdd to dashboardCite

Frustrated Quantum Magnets

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Magnetic excitation spectrum of the square latticeS=1∕2Heisenberg antiferromagnetK2V
Lumsden
¹
,
Nagler
²
,
Sales
³

et al. 2006
Phys. Rev. B
21
0
26
0
View full text Add to dashboard Cite