Shekhtman, Entin-Wohlman, and Aharony reply

Entin‐Wohlman, O.; Aharony, Amnon

doi:10.1103/physrevlett.71.468

Cited by 152 publications

(292 citation statements)

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“…25,26,27, the same microscopic processes that generate the DM crossproduct term also yield the higher-order O(D 2 ) terms, which contribute to some observables on equal footing. Without going into much details we refer to the same works 25,26,27 which show that these additional terms can be cast in the form of an easy-axis anisotropy with the "easy" axis along the D-vector, also the case realized in K 2 V 3 O 8 . Quite generally, the DM constant D and the easy-axis anisotropy constant E are not related to each other in a straightforward way and thus can be treated as phenomenological parameters.…”

Section: Model Spectrum and Quantum Correctionsmentioning

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: Model Spectrum and Quantum Correctionsmentioning

confidence: 99%

“…(24), (25), and (27), together with the definitions of the spin-wave energy, Eq. (18), constants C i , Eq.…”

Section: General Featuresmentioning

confidence: 99%

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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“…The in-plane gap of 2.8(5) meV has a contribution from anisotropic exchange of the Dzyaloshinsky-Moriya type [111,112], as well as from δJ in . No dispersion along Q z has been reported.…”

Section: Spin Wavesmentioning

confidence: 99%

Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Tranquada

Handbook of High-Temperature Superconductivity

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Summary. Neutron scattering studies have provided important information about the momentum and energy dependence of magnetic excitations in cuprate superconductors. Of particular interest are the recent indications of a universal magnetic excitation spectrum in hole-doped cuprates. That starting point provides motivation for reviewing the antiferromagnetic state of the parent insulators, and the destruction of the ordered state by hole doping. The nature of spin correlations in stripeordered phases is discussed, followed by a description of the doping and temperature dependence of magnetic correlations in superconducting cuprates. After describing the impact on the magnetic correlations of perturbations such as an applied magnetic field or impurity substitution, a brief summary of work on electron-doped cuprates is given. The chapter concludes with a summary of experimental trends and a discussion of theoretical perspectives. IntroductionNeutron scattering has played a major role in characterizing the nature and strength of antiferromagnetic interactions and correlations in the cuprates. Following Anderson's observation [1] that La 2 CuO 4 , the parent compound of the first high-temperature superconductor, should be a correlated insulator, with moments of neighboring Cu 2+ ions anti-aligned due to the superexchange interaction, antiferromagnetic order was discovered in a neutron diffraction study of a polycrystalline sample [2]. When single-crystal samples became available, inelastic studies of the spin waves determined the strength of the superexchange, J, as well as weaker interactions, such as the coupling between CuO 2 layers. The existence of strong antiferromagnetic spin correlations above the Néel temperature, T N , has been demonstrated and explained. Over time, the quality of such characterizations has improved considerably with gradual evolution in the size and quality of samples and in experimental techniques.Of course, what we are really interested in understanding are the optimallydoped cuprate superconductors. It took much longer to get a clear picture of the magnetic excitations in these compounds, which should not be surprising

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“…Figure 3 shows a typical distribution of the magnetic moment density inside the unit cell, calculated with the open-source computer codes for electronic and magnetic structure calculations "Quantum ESPRESSO" [25] (the details of the calculations will be published elsewhere). Thus, the actual magnetic structure has features, which are not described by the continuous model, but can be found in a microscopic approach, such as, for example, the Heisenberg model of chiral ferromagnet with energy [26][27][28] …”

Section: B Microscopic Detailsmentioning

confidence: 99%

Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu₂OSeO₃

Chizhikov

Дмитриенко

2017

J. Phys.: Condens. Matter

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Ferroelectric properties of cubic chiral magnet Cu2OSeO3 can emerge due to the spin noncollinearity induced by antiferromagnetic cantings. These cantings are the result of the DzyaloshinskiiMoriya interaction and in many ways similar to the ferromagnetic cantings in weak ferromagnets.An expression for the local electric polarization is derived, including terms with gradients of magnetization M(r). When averaged over the crystal the electric polarization has a non-vanishing part associated with the anisotropy of the crystal point group 23. In the framework of the microscopic theory, it is shown that both scalar and vector products of spins, (s1 · s2) and [s1 × s2], can give contributions of the same order in the electric polarization.

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Shekhtman, Entin-Wohlman, and Aharony reply

Cited by 152 publications

References 5 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

Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu₂OSeO₃

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Shekhtman, Entin-Wohlman, and Aharony reply

Cited by 152 publications

References 5 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

Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu2OSeO3

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Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu₂OSeO₃