Presumption for a Quantum Energy Gap in the Quasi-One-Dimensional
 S
 = 1 Heisenberg Antiferromagnet Ni(C
 2
 H
 8
 N
 2
 )
 2
 NO
 2
 (ClO
 4
 )

Renard, J.P.; Verdaguer, Michel; Regnault, L.P.; Erkelens, W. A. C.; Rossat‐Mignod, J.; Stirling, William

doi:10.1209/0295-5075/3/8/013

Cited by 437 publications

(161 citation statements)

References 22 publications

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“…However nearest-neighbor exchange parameters, estimated from the dispersions of magnetic excitations 3 imply that the intrachain coupling is only 10 times stronger than the interchain coupling, which is far smaller than is found for other one-dimensional systems, typically 10 2 to 10 4 [ 7,8]. Recent neutron-scattering measurements have revealed that the softening of a zone-boundary phonon as expected in ordinary SP systems does not exist.…”

Section: Introductionmentioning

confidence: 96%

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeO
Martin
¹
,
Hase
²
,
Hirota
³

et al. 1997
Phys. Rev. B

116

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Comprehensive neutron scattering studies were carried out on a series of high-quality single crystals of Cu 1−x Zn x GeO 3 . The Zn concentration, x, was determined for each sample using Electron Probe Micro-Analysis. The measured Zn concentrations were found to be 40-80% lower than the nominal values. Nevertheless the measured concentrations cover a wide range which enables a systematic study of the effects due to Zn-doping. We have confirmed the coexistence of spin-Peierls (SP) and antiferromagnetic (AF) orderings at low temperatures and the measured phase diagram is presented. Most surprisingly, long-range AF ordering occurs even in the lowest available Zn concentration, x=0.42%, which places important constraints on theoretical models of the AF-SP coexistence. Magnetic excitations are also examined in

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Section: Introductionmentioning

confidence: 96%

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeO
Martin
¹
,
Hase
²
,
Hirota
³

et al. 1997
Phys. Rev. B

116

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“…The first Q1D spin-1 Haldane gap compound was Ni(C 2 H 8 N 2 ) 2 NO 2 (ClO 4 ) (abbreviated NENP) which was synthesized by Meyer et al 20 in 1981, just before the Haldane's prediction appeared. Renard et al 21 showed that NENP had the energy spectrum predicted by Haldane; the magnetic susceptibility decreased steeply at low temperatures for all of the crystal axes suggesting a single ground state and neutron inelastic scattering showed that the magnetic excitation had a gap at the AF zone center. Other Q1D spin-1 compounds Ni(C 2 H 8 N 2 ) 2 Ni(CN) 4 (abbreviated NENC), 22,23,24,25 26,27,28 and Ni(C 5 H 14 N 2 ) 2 N 3 (ClO 4 ) (abbreviated NDMAZ) 29 have also been identified as effective Heisenberg chains.…”

mentioning

confidence: 91%

“…As predicted by Haldane, it is experimentally shown that these systems have an energy gap between the single ground state and first excited triplet. 21,22,23,24,25,26,27,28,29 In addition, exception Haldane systems, several Q1D AF spin-1 gapped compounds such as AF dimer compoundwhere (Medpt=methyl-bis(3-aminopropyl)amine), the ladder system 3,3',5,5'-tetrakis (N-tert-butylaminxyl)biphenyl (BIP-TENO), 17,30,31 the spin-Peierls systems 32,33,34,35 (Li,Na)V(Si,Ge) 2 O 6 have been synthesized and magnetic properties have been studied.The magnetic quantization behavior has been experimentally observed in only several gapped spin-1 AF materials as predicted by OYA. …”

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confidence: 99%

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Aydıner¹,

Akyüz²

2005

Chinese Phys. Lett.

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In this study, we have investigated ground state properties of one-dimensional antiferromagnetic spin-1 chain with single-ion anisotropy at very low temperatures using the Transfer Matrix method. Magnetic plateaus, phase diagram, specific heat, susceptibility of the spin chain have been evaluated numerically from the free energy. Results are in good agreement with the experimental data for the spin-1 compounds [Ni2(Medpt)2(µ-ox)(H2O)2](ClO4)22H2O, [Ni2(Medpt)2(µ-ox)(µ-N3)](ClO4)0.5H2O, Ni(C2H8N2)Ni(CN)4 and Ni(C10H8N2)2Ni(CN)4.H2O. However, spin-Peierls transition have not been observed in the temperature dependence of specific heat and magnetic susceptibility. The physics of low-dimensional i.e., one-dimensional (1D) or quasi-one-dimensional (Q1D) spin-S (S≥ 1) chains has attracted a considerable amount of attention after the prediction by Haldane 1 that a 1D Heisenberg antiferromagnet should have an energy gap between the singlet ground state and the first excited triplet states in the case of an integer spin quantum number, while the energy levels are gapless in the case of a half integer spin quantum number. The most fascinating characteristic of these low-dimensional systems is that they show magnetic plateaus i.e., quantization of magnetization at low temperatures near the ground state. This phenomenon has been observed not only in Haldane spin systems but also in other spin gapped systems for instance; spinPeierls and spin ladders systems. A general condition of quantization of the magnetization was derived from the Lieb-Schultz-Mattis theorem 2 for low-dimensional magnetic systems. The fact that, Oshikawa, Yamanaka and Affleck (OYA) 3 discussed this plateau problem and derived a condition p(S − m) = integer, necessary for the appearance of the plateau in the magnetization curve of one-dimensional spin system, where S is the magnitude of spin, m is the magnetization per site and p is the spatial period of the ground state, respectively. The 2S + 1 magnetization plateaus (contained the saturated magnetization m = S) can appear when the magnetic field increases from zero to its saturation value h s . Theoretical studies have suggested the realization of quantization of magnetization in various systems, 3,4,5,6,7,8,9,10,11,12,13,14 and it has been observed in experimental studies. 15,16,17,18,19 Recent years, antiferromagnetic (AF) spin-1 systems among the other low-dimensional gapped spin-S systems have drawn attention from both theorists and experimentalists in literature. So far, many Q1D gapped AF spin-1 systems, which are called Haldane systems, spin-Peierls and ladder compounds, were synthesized and to understand the ground state behaviors of the spin-1 AF Heisenberg chain have been extensively studied. The first Q1D spin-1 Haldane gap compound was Ni(C 2 H 8 N 2 ) 2 NO 2 (ClO 4 ) (abbreviated NENP) which was synthesized by Meyer et al. 20 in 1981, just before the Haldane's prediction appeared. Renard et al. 21 showed that NENP had the energy spectrum predicted by Haldane; the magnetic susceptibility ...

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“…In particular, properties of integer spin antiferromagnetic quantum spin chain have been studied in detail: theoretically [2,3], numerically [5][6][7][8][9] and experimentally [10][11][12]. There, important concepts of Valence Bond Solid states (VBS) [3] and hidden order parameter [4,13] have been introduced.…”

Section: Introductionmentioning

confidence: 99%

Temperature dependence of local states due toS=12impurities and their correlation in aS=1Heisenberg chain

Roos¹,

Miyashita²

1999

Phys. Rev. B

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We study the temperature dependence of the low temperature spin configurations, investigating the magnetization profile of the local states due to the impurities and the two point correlation function centered in one of the impurities. This correlation is found to be weak against temperature effects although the magnetization profile in the triplet state is visible up to higher temperatures. Here we introduce a loop cluster quantum Monte-Carlo method with a fixed magnetization M z in order to study the correlations in the ground state of a given value of M z . From the population distribution of magnetization, the very small energy gap between the quasi degenerate states due to the impurities is obtained.

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Presumption for a Quantum Energy Gap in the Quasi-One-Dimensional S = 1 Heisenberg Antiferromagnet Ni(C ₂ H ₈ N ₂ ) ₂ NO ₂ (ClO ₄ )

Cited by 437 publications

References 22 publications

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeO
Martin
¹
,
Hase
²
,
Hirota
³

et al. 1997
Phys. Rev. B

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeO
Martin
¹
,
Hase
²
,
Hirota
³

et al. 1997
Phys. Rev. B

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Temperature dependence of local states due toS=12impurities and their correlation in aS=1Heisenberg chain

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Presumption for a Quantum Energy Gap in the Quasi-One-Dimensional S = 1 Heisenberg Antiferromagnet Ni(C 2 H 8 N 2 ) 2 NO 2 (ClO 4 )

Cited by 437 publications

References 22 publications

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeOMartin1, Hase2, Hirota3 et al. 1997Phys. Rev. B

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeOMartin1, Hase2, Hirota3 et al. 1997Phys. Rev. B

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Temperature dependence of local states due toS=12impurities and their correlation in aS=1Heisenberg chain

Contact Info

Product

Resources

About

Presumption for a Quantum Energy Gap in the Quasi-One-Dimensional S = 1 Heisenberg Antiferromagnet Ni(C ₂ H ₈ N ₂ ) ₂ NO ₂ (ClO ₄ )

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeO
Martin
¹
,
Hase
²
,
Hirota
³

et al. 1997
Phys. Rev. B

Spin-Peierls and antiferromagnetic phases in Cu1−xZnxGeO
Martin
¹
,
Hase
²
,
Hirota
³

et al. 1997
Phys. Rev. B