Magnetic susceptibility and low-temperature structure of the linear chain cuprate<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Sr</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:ms

Ami, T.; Crawford, M. K.; Harlow, Richard L.; Wang, Z. R.; Johnston, D. C.; Huang, Q.; Erwin, R. W.

doi:10.1103/physrevb.51.5994

Cited by 202 publications

(163 citation statements)

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“…As a result, chains of corner shared CuO 4 tetragons extend in the b-axis direction, with a strong antiferromagnetic interaction due to the 180 • Cu-O-Cu coupling. The lattice parameters of Ca 2 CuO 3 are smaller than those of Sr 2 CuO 3 by 7.0% (c-axis) and 3.6% (a-and b-axis) [10,17]. The reduced c-axis parameter of Ca 2 CuO 3 probably enhances the inter-chain coupling (J ′ ), as its higher T N suggests.…”

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confidence: 98%

“…The intra-chain interaction (2J ∼ 2600 K) of these materials have been estimated from susceptibility [10,11] and infrared light absorption [12]. Néel ordering of these compounds was first observed in µSR measurements [13], with a significantly reduced T N /J ratio of ∼ 5 K/1300 K = 4 × 10 −3 for Sr 2 CuO 3 and T N /J ∼ 11 K/1300 K = 8 × 10 −3 for Ca 2 CuO 3 .…”

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confidence: 99%

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Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3and
Kojima
¹
,
Fudamoto
²
,
Larkin
³

et al. 1997
Phys. Rev. Lett.
187
20
144
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We report elastic neutron diffraction and muon spin relaxation (µSR) measurements of the quasi one-dimensional antiferromagnets Sr2CuO3 and Ca2CuO3, which have extraordinarily reduced TN/J ratios.We observe almost resolution-limited antiferromagnetic Bragg reflections in Sr2CuO3 and obtain a reduced ordered moment size of ∼0.06µB. We find that the ratio of ordered moment size µ(Ca2CuO3)/µ(Sr2CuO3) = 1.5(1) roughly scales with their Néel temperatures, which suggests that the ordered moment size of quasi one-dimensional antiferromagnets decreases continuously in the limit of vanishing inter-chain interactions.PACS numbers: 76.75.+i, 75.25.+z, 75.10.Jm One-dimensional spin systems with antiferromagnetic interactions have received considerable attention because of their pronounced quantum mechanical effects. In the absence of inter-chain interactions, both integer and halfodd integer spin-chain systems have spin-singlet ground states, rather than an antiferromagnetically ordered Néel state [1][2][3]. Yet, for half odd-integer spin-chains, the spin-excitations are gap-less at momentum k = 0 and π [4]; this indicates that the ground state of a half-odd integer spin-chain is closer to the Néel ordered state than the integer spin systems, which have a so-called Haldane gap [3].Because of the gap-less feature of half-odd integer spinchains, one interesting question is whether the ground state is ordered or disordered when inter-chain interactions are introduced. Previously, it was proposed that there is a non-zero critical coupling ratio (J ′ /J = R c ), below which the system retains a singlet ground-state [5]. Recent renormalization group calculations however suggest that the ground state may depend on microscopic details of the model which describes the spin-spin interactions [6,7]. Numerical studies of the Heisenberg model suggested a vanishing critical coupling ratio (R c ∼ 0); namely, for infinitesimally small inter-chain couplings, half odd-integer spin-chains should exhibit Néel order [7].Experimentally, KCuF 3 is the most investigated quasione-dimensional S=1/2 antiferromagnet. Unfortunately, this material has relatively large coupling ratio R = J ′ /J ∼ 2 K/203 K = 1.0 × 10 −2 , as shown from neutron inelastic scattering measurements [8]. Probably reflecting the large coupling ratio R, the T N /J ratio (∼ 39 K/203 K = 0.2) and the ordered moment size (= 0.49(7)µ B [9]) were also found to be relatively large.To investigate the regime of the critical coupling ratio, model materials with smaller inter-chain couplings are needed; the quasi one-dimensional S=1/2 antiferromagnets Sr 2 CuO 3 and Ca 2 CuO 3 are suitable candidates. The intra-chain interaction (2J ∼ 2600 K) of these materials have been estimated from susceptibility [10,11] and infrared light absorption [12]. Néel ordering of these compounds was first observed in µSR measurements [13], with a significantly reduced T N /J ratio of ∼ 5 K/1300 K = 4 × 10 −3 for Sr 2 CuO 3 and T N /J ∼ 11 K/1300 K = 8 × 10 −3 for Ca 2 CuO 3 . Since T N /J is a measure of ...

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confidence: 98%

mentioning

confidence: 99%

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3and
Kojima
¹
,
Fudamoto
²
,
Larkin
³

et al. 1997
Phys. Rev. Lett.
187
20
144
1
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“…Similar experiments in Sr 2 CuO 3 and YBaNiO 5 lead to reduced Curie terms. 22,23 The data in Fig. 2 pertain to Sr 2 Cu͑PO 4 ͒ 2 and Ba 2 Cu͑PO 4 ͒ 2 , annealed in a reducing atmosphere.…”

Section: A Bulk Susceptibilitymentioning

confidence: 99%

Study of one-dimensional nature ofS=1∕2(Sr,Ba)2
Nath
¹
,
Mahajan
²
,
Büttgen
³

et al. 2005
Phys. Rev. B
70
18
58
1
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The magnetic behavior of the low-dimensional phosphates ͑Sr, Ba͒ 2 Cu͑PO 4 ͒ 2 and BaCuP 2 O 7 was investigated by means of magnetic susceptibility and 31 P nuclear magnetic resonance ͑NMR͒ measurements. We present here the NMR shift, the spin-lattice ͑1/T 1 ͒, and spin-spin ͑1/T 2 ͒ relaxation-rate data over a wide temperature range 0.02 K ഛ T ഛ 300 K. The temperature dependence of the NMR shift K͑T͒ is well described by the S =1/2 Heisenberg antiferromagnetic chain model ͓D. C. Johnston, R. K. Kremer, M. Troyer, X. Wang, A. Klümper, S. L. Bud'ko, A. F. Panchula, and P. C. Canfield, Phys. Rev. B 61, 9558 ͑2000͔͒ with an intrachain exchange of J / k B Ӎ 165, 151, and 108 K in Sr 2 Cu͑PO 4 ͒ 2 , Ba 2 Cu͑PO 4 ͒ 2 , and BaCuP 2 O 7 , respectively. Deviations from Johnston's expression are seen for all these compounds in the T dependence of K͑T͒ at low temperatures. 31 P is located symmetrically between the Cu ions and fluctuations of the staggered susceptibility at q = / a should be filtered out due to vanishing of the geometrical form factor. However, the qualitative temperature dependence of our 31 P NMR 1 / T 1 indicates that relaxation due to fluctuations around q = / a ͑but / a͒ have the same T dependence as those at q = / a and apparently dominate. Our measurements suggest the presence of magnetic ordering at 0.85 K in BaCuP 2 O 7 ͑J / k B Ӎ 108 K͒ and a clear indication of a phase transition ͑divergence͒ in 1 / T 1 ͑T͒, 1/T 2 ͑T͒, and a change of the line shape is observed. This enables us to investigate the one-dimensional ͑1D͒ behavior over a wide temperature range. We find that 1 / T 1 is nearly T independent at low temperatures ͑1 Kഛ T ഛ 10 K͒, which is theoretically expected for 1D chains when relaxation is dominated by fluctuations of the staggered susceptibility. At high temperatures, 1 / T 1 varies nearly linearly with temperature, which accounts for contribution of the uniform susceptibility.

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“…It is well known from structural considerations 4 and from studies of the magnetic excitation spectrum 4,5 , that Sr 2 CuO 3 and SrCuO 2 can be accurately described by the XXZ chain…”

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Conductivity of quantum spin chains: A quantum Monte Carlo approach

Álvarez

Gros

2002

Phys. Rev. B

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We discuss zero-frequency transport properties of various spin-1/2 chains. We show, that a careful analysis of Quantum Monte-Carlo (QMC) data on the imaginary axis allows to distinguish between intrinsic ballistic and diffusive transport. We determine the Drude weight, current-relaxation life-time and the mean-free path for integrable and a non-integrable quantum-spin chain. We discuss, in addition, some phenomenological relations between various transport-coefficients and thermal response functions.

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Magnetic susceptibility and low-temperature structure of the linear chain cuprateSr2CuO3

Cited by 202 publications

References 30 publications

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3and
Kojima
¹
,
Fudamoto
²
,
Larkin
³

et al. 1997
Phys. Rev. Lett.
187
20
144
1
View full text Add to dashboard Cite

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3and
Kojima
¹
,
Fudamoto
²
,
Larkin
³

et al. 1997
Phys. Rev. Lett.
187
20
144
1
View full text Add to dashboard Cite

Study of one-dimensional nature ofS=1∕2(Sr,Ba)2
Nath
¹
,
Mahajan
²
,
Büttgen
³

et al. 2005
Phys. Rev. B
70
18
58
1
View full text Add to dashboard Cite

Conductivity of quantum spin chains: A quantum Monte Carlo approach

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Magnetic susceptibility and low-temperature structure of the linear chain cuprateSr2CuO3

Cited by 202 publications

References 30 publications

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3andKojima1, Fudamoto2, Larkin3 et al. 1997Phys. Rev. Lett.187201441View full textAdd to dashboardCite

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3andKojima1, Fudamoto2, Larkin3 et al. 1997Phys. Rev. Lett.187201441View full textAdd to dashboardCite

Study of one-dimensional nature ofS=1∕2(Sr,Ba)2Nath1, Mahajan2, Büttgen3 et al. 2005Phys. Rev. B7018581View full textAdd to dashboardCite

Conductivity of quantum spin chains: A quantum Monte Carlo approach

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Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3and
Kojima
¹
,
Fudamoto
²
,
Larkin
³

et al. 1997
Phys. Rev. Lett.
187
20
144
1
View full text Add to dashboard Cite

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional AntiferromagnetsSr2CuO3and
Kojima
¹
,
Fudamoto
²
,
Larkin
³

et al. 1997
Phys. Rev. Lett.
187
20
144
1
View full text Add to dashboard Cite

Study of one-dimensional nature ofS=1∕2(Sr,Ba)2
Nath
¹
,
Mahajan
²
,
Büttgen
³

et al. 2005
Phys. Rev. B
70
18
58
1
View full text Add to dashboard Cite