Über Oxocuprate, XIV Zur Kristallchemie von Sr2Cu3O4Cl2.

Grande, B.; Müller‐Buschbaum, Hk.

doi:10.1515/znb-1976-0402

Cited by 17 publications

(10 citation statements)

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“…͑101a͒ ͑with Z g ϭ0. 6) we obtain the value of ⌬J 1 ϭ0.081 meV. As was the case for ␦J 1 , this result is also about twice the theoretical estimates for a simple CuO plane.…”

Section: Comparison To Experimentssupporting

confidence: 73%

Quantum fluctuations in the frustrated antiferromagnetSr2Cu3O4

et al. 2001

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Sr 2 Cu 3 O 4 Cl 2 is an antiferromagnet consisting of weakly coupled CuO planes which comprise two weakly interacting antiferromagnetic subsystems I and II which order at respective temperatures T I ≈390 K and T II ≈40 K. Except asymptotically near the ordering temperature, these systems are good representations of the two-dimensional quantum spin-1/2 Heisenberg model. For T<T II there are four low-energy modes at zero wave vector, three of whose energies are dominated by quantum fluctuations. For T II <T<T I there are two low-energy modes. The mode with lower energy is dominated by quantum fluctuations. Our calculations of the energies of these modes (including dispersion for wave vectors perpendicular to the CuO planes) agree extremely well with the experimental results of inelastic neutron scattering (in the accompanying paper) and for modes in the sub-meV range observed by electron spin resonance. The parameters needed to describe quantum fluctuations are either calculated here or are taken from the literature. These results show that we have a reasonable qualitative understanding of the band structure of the lamellar cuprates needed to calculate the anisotropic exchange constants used here. Cl 2 is an antiferromagnet consisting of weakly coupled CuO planes which comprise two weakly interacting antiferromagnetic subsystems I and II which order at respective temperatures T I Ϸ390 K and T II Ϸ40 K. Except asymptotically near the ordering temperature, these systems are good representations of the two-dimensional quantum spin-1/2 Heisenberg model. For TϽT II there are four low-energy modes at zero wave vector, three of whose energies are dominated by quantum fluctuations. For T II ϽTϽT I there are two low-energy modes. The mode with lower energy is dominated by quantum fluctuations. Our calculations of the energies of these modes ͑including dispersion for wave vectors perpendicular to the CuO planes͒ agree extremely well with the experimental results of inelastic neutron scattering ͑in the accompanying paper͒ and for modes in the sub-meV range observed by electron spin resonance. The parameters needed to describe quantum fluctuations are either calculated here or are taken from the literature. These results show that we have a reasonable qualitative understanding of the band structure of the lamellar cuprates needed to calculate the anisotropic exchange constants used here. Disciplines Physics | Quantum Physics

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“…͑101a͒ ͑with Z g ϭ0. 6) we obtain the value of ⌬J 1 ϭ0.081 meV. As was the case for ␦J 1 , this result is also about twice the theoretical estimates for a simple CuO plane.…”

Section: Comparison To Experimentssupporting
confidence: 73%

Quantum fluctuations in the frustrated antiferromagnetSr2Cu3O4
Harris
¹
,
Aharony
²
,
Entin‐Wohlman
³

et al. 2001
Phys. Rev. B
17
1
20
0
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“…1͒. 3,4 The Cu ions forming the conventional CuO 2 layer ͑CuI's͒ have a very large CuI-CuI antiferromagnetic coupling (J 0 ϭ130 meV), similar to that in the high-T c parent compounds. Together with the weak interplanar coupling, these yield three-dimensional antiferromagnetic order at a Néel temperature T I near 380 K. Since the Cu d 9 ions at the center of the squares ͑CuII's͒ are surrounded by four equidistant CuI neighbors, the isotropic Heisenberg interaction between CuI and CuII spins is frustrated.…”

Section: Introductionmentioning
confidence: 97%

Field-dependent antiferromagnetism and ferromagnetism of the two copper sublattices inSr2Cu3O
Kastner
¹
,
Aharony
²
,
Birgeneau
³

et al. 1999
Phys. Rev. B
19
4
35
0
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The Cu 3 O 4 layer in Sr 2 Cu 3 O 4 Cl 2 is a variant of the square CuO 2 lattice of the high-temperature superconductors, in which the center of every second plaquette contains an extra Cu 2ϩ ion. The ions that make up the conventional CuO 2 network, called CuI, have CuI-CuI exchange energy Ϸ130 meV, and order antiferromagnetically at about 380 K; the CuII-CuII exchange is only Ϸ10 meV, and the CuII's order at Ϸ40 K. A study is reported here of the dependence of the magnetization on field, temperature, and crystallographic orientation for this interesting system. We show that the small permanent ferromagnetic moment, that appears when the CuI spins order, and the unusual spin rotation transitions seen most clearly for one particular direction of the magnetic field, are the result of several small bond-dependent anisotropic terms in the spin Hamiltonian that are revealed because of the frustration of the isotropic Heisenberg interaction between CuI and CuII spins. These include a term which favors collinearity of the CuI and CuII spins, which originates from quantum fluctuations, and also the pseudodipolar interaction. Some of these small interactions also come into play in other lamellar cuprates, connected with the high-T c superconductivity materials, and in many spin-chain and spin-ladder compounds.

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“…1͑b͒, the CuO 2 layers are replaced by Cu 3 O 4 layers, which contain an additional Cu II 2ϩ ion at the center of every second plaquette of the original Cu I O 2 square lattice. 11,12 The configuration in the neighboring plane is obtained by translating the whole plane by (a/2 ā /2). The in-plane isotropic interaction J I-II between Cu I and Cu II subsystems is frustrated such that they form interpenetrating Sϭ1/2 SLQHA's with respective exchange interactions J I and J II .…”

Section: Introductionmentioning
confidence: 99%

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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Über Oxocuprate, XIV Zur Kristallchemie von Sr₂Cu₃O₄Cl₂.

Abstract: The new compound Sr2Cu3O4Cl3 was prepared in melts of SrCl2. A single crystal X-ray examination (a = 546.2, c =1259.1 pm, space group D174h-I 4/mmm) shows that the octahedral distortion of the [Cu3O4Cl2]4--network cannot be explained only by the JAHN-TELLER effect.

Cited by 17 publications

References 0 publications

Quantum fluctuations in the frustrated antiferromagnetSr2Cu3O4

Quantum fluctuations in the frustrated antiferromagnetSr2Cu3O4

Field-dependent antiferromagnetism and ferromagnetism of the two copper sublattices inSr2Cu3O
Kastner
¹
,
Aharony
²
,
Birgeneau
³

et al. 1999
Phys. Rev. B
19
4
35
0
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
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Über Oxocuprate, XIV Zur Kristallchemie von Sr2Cu3O4Cl2.

Abstract: The new compound Sr2Cu3O4Cl3 was prepared in melts of SrCl2. A single crystal X-ray examination (a = 546.2, c =1259.1 pm, space group D174h-I 4/mmm) shows that the octahedral distortion of the [Cu3O4Cl2]4--network cannot be explained only by the JAHN-TELLER effect.

Cited by 17 publications

References 0 publications

Quantum fluctuations in the frustrated antiferromagnetSr2Cu3O4

Quantum fluctuations in the frustrated antiferromagnetSr2Cu3O4

Field-dependent antiferromagnetism and ferromagnetism of the two copper sublattices inSr2Cu3OKastner1, Aharony2, Birgeneau3 et al. 1999Phys. Rev. B194350View full textAdd to dashboardCite

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

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Über Oxocuprate, XIV Zur Kristallchemie von Sr₂Cu₃O₄Cl₂.

Field-dependent antiferromagnetism and ferromagnetism of the two copper sublattices inSr2Cu3O
Kastner
¹
,
Aharony
²
,
Birgeneau
³

et al. 1999
Phys. Rev. B
19
4
35
0
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