Yildirim<i>et al.</i>Reply:

Yildirim, Taner; Harris, Amanda; Entin‐Wohlman, O.; Aharony, Amnon

doi:10.1103/physrevlett.74.2843

Cited by 27 publications

(66 citation statements)

References 6 publications

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“…It has been found before that for the magnetic anisotropies of the linear Cu-O-Cu bond, this expansion is quite reliable. 9 On the other hand, it has been argued, (again for the 180 • -bond), that perturbation theory fails to yield reasonable values for the leading magnetic isotropic intractions, 23 because the hopping matrix elements t are not necessarily small compared with the on-site energies. However, the almost 90 • case discussed here is different, because of the appearance of the small Coulomb matrix elements in the expansion.…”

Section: Discussionmentioning

confidence: 99%

“…The on-site Coulomb matrix elements necessitate the Racah parameters A, B, and C for the copper, and F 0 and F 2 on the oxygen. 9,10 These are chosen as A=7.0eV, B=0.15eV, C=0.58eV, F 0 =3.1eV, and F 2 =0.28eV. There is no reliable estimate for the non-local Coulomb exchange between the copper and the oxygen.…”

Section: )mentioning

confidence: 99%

“…11,12,14 The hopping matrix elements can be expressed in terms of the Slater-Koster parameters, 18 t 0 = − √ 3(pdσ)/2, t 1 = −(pdσ)/2, and t 2 = (pdπ), for the Cu-O ones, and t 3 = (1/2)((ppσ) + (ppπ)), t 4 = (1/2)((ppσ) − (ppπ)), and t 5 = (ppπ) for the O-O matrix elements. We have used the values (pdσ) = 1.5eV 9,10 and (ppπ) = −0.6eV 19 , and used the relations (ppπ) = − 1 4 (ppσ) and (pdπ) = − 1 2 (pdσ) 20 . 16.…”

Section: )mentioning

confidence: 99%

“…10 Those on the copper are assumed for simplicity to be identical, ǫ α =1.8eV (α = 0, 1, x, y, z, see definitions below). 9 The spin-orbit coupling on the copper is taken to be λ=0.1eV. The on-site Coulomb matrix elements necessitate the Racah parameters A, B, and C for the copper, and F 0 and F 2 on the oxygen.…”

Section: )mentioning

confidence: 99%

“…9,10 In order to keep the paper selfcontained we reproduce in Sec. II the main steps of the derivation.…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic superexchange for nearest and next-nearest coppers in chain, ladder, and lamellar cuprates

1999

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We present a detailed calculation of the magnetic couplings between nearest-neighbor and nextnearest-neighbor coppers in the edge-sharing geometry, ubiquitous in many cuprates. In this geometry, the interaction between nearest neighbor coppers is mediated via two oxygens, and the Cu-O-Cu angle is close to 90 • . The derivation is based on a perturbation expansion of a general Hubbard Hamiltonian, and produces numerical estimates for the various magnetic energies. In particular we find the dependence of the anisotropy energies on the angular deviation away from the 90 • geometry of the Cu-O-Cu bonds. Our results are required for the correct analysis of the magnetic structure of various chain, ladder and lamellar cuprates.

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Section: Discussionmentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

“…9,10 In order to keep the paper selfcontained we reproduce in Sec. II the main steps of the derivation.…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic superexchange for nearest and next-nearest coppers in chain, ladder, and lamellar cuprates

1999

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Invasive Pneumococcal Disease—Not Evenly Shared by All Children

2019

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The Raman Spectra of MgB2 and Its Potential Impurity Phases

Rafailov

Bahrs

Thomsen

2001

phys. stat. sol. (b)

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Introduction The newly discovered BCS-like superconductor MgB 2 [1, 2] has rapidly attracted the interest of the Raman community. Many contributions [3-6] explored the E 2g phonon mode of MgB 2 with a predicted strong coupling to the electronic conduction s-bands [7]. The published Raman spectra of MgB 2 samples both polycrystalline [3] and small single crystals [4, 5] contain mainly the same structures: broad bands extending from 300 to 1600 cm À1 . The main peak at %600 cm À1 is generally associated with the sought E 2g mode, but its unusually broad width (%270 cm À1 ), as well as the presence of other broad peaks in the spectra make the assignment difficult. On the other hand, TEM, X-ray photoemisson and diffraction studies [8][9][10] indicated the presence of impurity phases such as elemental Mg, MgO, B 2 O 3 , Mg(OH) 2 Á MgCO 3 [6] and MgB 4 [9]. We investigated these impurity phases and present an analysis of the second-order features in the spectra of MgB 2 .

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Yildirimet al.Reply:

Abstract: Yildirim et al. Reply: The Skanthakumar et al. Comment [1] draws attention to the existing evidence in favor of the noncollinear spin structure of Nd2Cu04 (NCO), and we agree that this evidence is compelling [2]. The aim of our Letter [3] was to understand microscopic origins of

Cited by 27 publications

References 6 publications

Anisotropic superexchange for nearest and next-nearest coppers in chain, ladder, and lamellar cuprates

Anisotropic superexchange for nearest and next-nearest coppers in chain, ladder, and lamellar cuprates

Invasive Pneumococcal Disease—Not Evenly Shared by All Children

The Raman Spectra of MgB2 and Its Potential Impurity Phases

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