1D ferrimagnetism in copper(II) trimetric chains: Specific heat and magnetic behavior of A3Cu3(PO4)4 with A = Ca, Sr

Drillon, Marc; Belaı̈che, M.; Legoll, P.; Aride, J.; Boukhari, A.; Moqine, A.

doi:10.1016/0304-8853(93)90860-5

Cited by 64 publications

(78 citation statements)

References 11 publications

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“…However, such an extrinsic mechanism should be distinguished from the intrinsic thermodynamics. Magnetic measurements [15,18,19] were also performed for these materials in an attempt to evaluate the exchange couplings but no parametrization reported so far is so consistent as to fit the magnetization, susceptibility, and specific heat consistently. Thus motivated, we calculate the specific heat for a wide class of 1-D ferrimagnets and reveal its intrinsic and generic features.…”

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confidence: 99%

Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets

Nakanishi

Yamamoto

2002

Phys. Rev. B

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Motivated by recent magnetic measurements on A3Cu3(PO4)4 (A = Ca, Sr) and Cu(3-Clpy)2(N3)2 (3-Clpy = 3-Chloropyridine), both of which behave like one-dimensional ferrimagnets, we extensively investigate the ferrimagnetic specific heat with particular emphasis on its double-peak structure. Developing a modified spin-wave theory, we reveal that ferromagnetic and antiferromagnetic dual features of ferrimagnets may potentially induce an extra low-temperature peak as well as a Schottky-type peak at mid temperatures in the specific heat.PACS numbers: 75.10. Jm, 75.40.Cx, 75.30.Ds, 75.40.Mg Recent progress on the theoretical understanding of low-dimensional (low-D) quantum ferrimagnets deserves special mention in their long history of research. A minimum of the susceptibility (χ)-temperature (T ) product has been known as typical of 1-D ferrimagnets [1]. Although the T −1 -diverging χT at low temperatures is reminiscent of the ferromagnetic susceptibility, it turns into the high-temperature paramagnetic behavior showing the antiferromagnetic increase. Recently an explicit sum rule [2] for the ferrimagnetic susceptibility has been found: Spin-(S, s) ferrimagnetic chains behave similar to combinations of spin-(S − s) ferromagnetic and spin-(2s) antiferromagnetic chains provided S = 2s. An epochal argument [3] on the ground-state magnetization curves of low-D quantum magnets stimulated broad interest in ferrimagnetic chains [4,5] and ladders [6] in a field. Spin-(S, s) ferrimagnetic chains were found to exhibit 2s magnetization plateaus without any bond alternation [7]. The discovery of a metal-oxide Haldane-gap antiferromagnet Y 2 BaNiO 5 [8,9] and its rare-earth derivatives R 2 BaNiO 5 [10,11] directed our attention to 2-D mixedspin magnets. Their magnetic double structure, that is, the coexistence of gapless and gapped excitations, was well interpreted from the point of view of coupled ferrimagnetic chains [12]. Nuclear-magnetic-resonance measurements [13] on an ordered bimetallic chain compound NiCu(C 7 H 6 N 2 O 6 )(H 2 O) 3 ·2H 2 O revealed a unique field dependence of the relaxation rate, T −1 1 ∝ H −1/2 , which was found to be indirect observation of ferrimagnetic dispersion relations [14].In this article, we discuss another hot topic on the ferrimagnetic specific heat (C). Intertwining doublechain ferrimagnets A 3 Cu 3 (PO 4 ) 4 (A = Ca, Sr) [15] and a ferromagnetic-ferromagnetic-antiferromagneticantiferromagnetic bond-alternating chain ferrimagnet Cu(3-Clpy) 2 (N 3 ) 2 (3-Clpy = 3-Chloropyridine) [16], which are illustrated in Figs. 1(b) and 1(c), respectively, were both reported to exhibit a unique temperature dependence of the specific heat: A minimum at low temperatures and then a noticeable increase toward a Schottkytype maximum. Ferrimagnets generally possess a ground state of macroscopically degenerate multiplet and therefore an applied field may induce a double-peaked specific heat [17]. However, such an extrinsic mechanism should be distinguished from the intrinsic thermodynamics. Magnetic measurement...

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confidence: 99%

Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets

Nakanishi

Yamamoto

2002

Phys. Rev. B

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“…Long-range magnetic ordering was observed below T N =0.8 K, 0.9 K, and 1.3 K for A=Ca, Sr, and Pb, respectively [11,12]. From inelastic neutron scattering experiments the intra-trimer interactions were determined and found to be antiferromagnetic [13].…”

Section: Introductionmentioning

confidence: 99%

Magnetic excitations in the spin-trimer compoundsCa3Cu3−xNix(P
Podlesnyak
¹
,
Pomjakushin
²
,
Pomjakushina
³

et al. 2007
Phys. Rev. B
18
5
33
0
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Abstract:Inelastic neutron scattering experiments were performed for the spin-trimer compounds Ca 3 Cu 3-x Ni x (PO 4 ) 4 (x=0,1,2) in order to study the dynamic magnetic do not exhibit long-range magnetic ordering down to 1 K, the x=2 compound shows antiferromagnetic ordering below T N =20 K, which is compatible with the molecular-field parameter λ=(0.63±0.12) meV derived by neutron spectroscopy.

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“…Now, however, the S = 1/2 DD chain model is again in spotlight as a model for A 3 Cu 3 (PO 4 ) 4 with A = Ca, Sr [9,10,11], Bi 4 Cu 3 V 2 O 14 [12] and azurite Cu 3 (OH) 2 (CO 3 ) 2 .…”

Section: Introductionmentioning

confidence: 99%

“…For A 3 Cu 3 (PO 4 ) 4 with A = Ca, Sr, Drillon et al [9,10] measured the magnetic susceptibility χ(T ), the specific heat C(T ) and the magnetization process M(H), and proposed the model without J 2 interactions. Ajiro et al [11] performed the high field magnetization process measurement up to 40T and the neutron diffraction experiment, and proposed the model with J 2 interactions.…”

Section: Introductionmentioning

confidence: 99%

Magnetic properties of theS 1/2 distorted diamond chain atT 0

Okamoto

Tonegawa

Kaburagi

2003

J. Phys.: Condens. Matter

105

115

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Abstract. We explore, at T = 0, the magnetic properties of the S = 1/2 antiferromagnetic distorted diamond chain described by the Hamiltonian H =, which well models A 3 Cu 3 (PO 4 ) 4 with A = Ca, Sr, Bi 4 Cu 3 V 2 O 14 and azurite Cu 3 (OH) 2 (CO 3 ) 2 . We employ the physical consideration, the degenerate perturbation theory, the level spectroscopy analysis of the numerical diagonalization data obtained by the Lanczos method and also the density matrix renormalization group (DMRG) method. We investigate the mechanisms of the magnetization plateaux at M = M s /3 and M = (2/3)M s , and also show the precise phase diagrams on the (J 2 /J 1 , J 3 /J 1 ) plane concerning with these magnetization plateaux, where M = N l=1 S z l and M s is the saturation magnetization. We also calculate the magnetization curves and the magnetization phase diagrams by means of the DMRG method.

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1D ferrimagnetism in copper(II) trimetric chains: Specific heat and magnetic behavior of A3Cu3(PO4)4 with A = Ca, Sr

Cited by 64 publications

References 11 publications

Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets

Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets

Magnetic excitations in the spin-trimer compoundsCa3Cu3−xNix(P
Podlesnyak
¹
,
Pomjakushin
²
,
Pomjakushina
³

et al. 2007
Phys. Rev. B
18
5
33
0
View full text Add to dashboard Cite

Magnetic properties of theS 1/2 distorted diamond chain atT 0

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1D ferrimagnetism in copper(II) trimetric chains: Specific heat and magnetic behavior of A3Cu3(PO4)4 with A = Ca, Sr

Cited by 64 publications

References 11 publications

Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets

Intrinsic double-peak structure of the specific heat in low-dimensional quantum ferrimagnets

Magnetic excitations in the spin-trimer compoundsCa3Cu3−xNix(PPodlesnyak1, Pomjakushin2, Pomjakushina3 et al. 2007Phys. Rev. B185330View full textAdd to dashboardCite

Magnetic properties of theS 1/2 distorted diamond chain atT 0

Contact Info

Product

Resources

About

Magnetic excitations in the spin-trimer compoundsCa3Cu3−xNix(P
Podlesnyak
¹
,
Pomjakushin
²
,
Pomjakushina
³

et al. 2007
Phys. Rev. B
18
5
33
0
View full text Add to dashboard Cite