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Fujiwara, Naoki; Goto, Takao; Maegawa, Satoru; Kohmoto, T.

doi:10.1103/physrevb.47.11860

Cited by 29 publications

(20 citation statements)

References 24 publications

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“…Since H 1 has matrix elements between singlet and triplets on the same dimer, triplets are mixed into the ground state, resulting in finite u . Although field-induced staggered moments have been reported in the Haldane chain compound NENP [18,19], this is the first observation in quasi 2D systems.…”

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confidence: 91%

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Kodama

Miyahara

Takigawa

et al. 2005

J. Phys.: Condens. Matter

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Abstract. We observed a field-induced staggered magnetization in the 2D frustrated dimer singlet spin system SrCu 2 (BO 3 ) 2 by 11 B NMR, from which the magnitudes of the intradimer Dzyaloshinsky-Moriya interaction and the staggered g-tensor were determined. These anisotropic interactions cause singlet-triplet mixing and eliminate a quantum phase transition at the expected critical field H c for gap closing. They provide a quantitative account for some puzzling phenomena such as the onset of a uniform magnetization below H c and the persistence of the excitation gap above H c . The gap was accurately determined from the activation energy of the nuclear relaxation rate.Spin systems with singlet ground states exhibit a variety of quantum phase transitions in magnetic field [1]. A generic example is the Bose-Einstein condensation of triplets when the field exceeds the critical value at which the excitation energy vanishes. This results in an antiferromagnetic order with the staggered moment perpendicular to the field, as has been observed, e.g., in TlCuCl 3 [2]. Another possibility is the formation of a superlattice of localized triplets due to repulsive interactions, which translates into magnetization plateaus at fractional values of the saturated magnetization. The best known example is SrCu 2 (BO 3 ) 2 with its two-dimensional network of orthogonal dimers of Cu 2+ ions (spin 1/2). This material shows an excitation gap ∆ 0 =35 K and plateaus at 1/8, 1/4, and 1/3 of the saturated magnetization [3,4,5]. A magnetic superlattice at the 1/8-plateau has actually been observed by NMR experiments [6].

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confidence: 91%

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Kodama

Miyahara

Takigawa

et al. 2005

J. Phys.: Condens. Matter

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“…The distinct upturn of T −1 1 below 10 K is reduced by the applied field. This can be related to residual impurity effects, as those occurring in gapped Haldane chains [21]. Clear maxima in T −1 1 (T, H) are instead observed for both samples if H > H c1 (x) (see Fig.…”

Section: B-axis With ±3mentioning

confidence: 99%

Field-Induced Quantum Soliton Lattice in a Frustrated Two-Leg Spin-1/2Ladder

et al. 2013

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The field-induced quantum phase transitions (QPT) of the spin ladder material Bi(Cu1−xZnx)2-PO6 have been investigated via 31 P nuclear magnetic resonance (NMR) on single-crystal samples with x = 0 and x = 0.01. Measurements at temperatures between 0.25 K and 20 K in magnetic fields up to 31 T served to establish the nature of the various phases. In BiCu2PO6, an incommensurate (IC) magnetic order develops above a critical field µ0Hc1 ≃ 21 T; the field and temperature dependences of the NMR lines and the resulting model for the spin structure are discussed. Supported by results of Density-Matrix Renormalization Group (DMRG) calculations it is argued that the observed field-induced IC order involves the formation of a magnetic-soliton lattice. An additional QPT is predicted to occur at H > Hc1. For x = 0.01, this IC order is found to be stable against site disorder, although with a renormalized critical field.

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“…The resulting spin relaxation is a typical T 1 relaxation with its relaxation tate (l/T1) increasing at higher temperatures [2][3][4][5][6][7]. If the temperature dependence of the gap energy is negligible, 1/T 1 has a gap-excitation type temperature dependence (1/T 1 oc exp(-Eg/kT)); previous measurements of the nuclear relaxation rate have been analyzed with this form, and the gap en-J( 1 +5) J( 1 +a) J( 1 + a) ergy (Eg) has been obtained in a 2-1cg spin ladder material SrC 89 3 [3] (see Fig.…”

Section: Spin Relaxation In Spin Gap Systems: Nmr and ~Tsrmentioning

confidence: 99%

“…If the temperature dependence of the gap energy is negligible, 1/T 1 has a gap-excitation type temperature dependence (1/T 1 oc exp(-Eg/kT)); previous measurements of the nuclear relaxation rate have been analyzed with this form, and the gap en-J( 1 +5) J( 1 +a) J( 1 + a) ergy (Eg) has been obtained in a 2-1cg spin ladder material SrC 89 3 [3] (see Fig. 2a) and Haldane compounds NENP [4,5], YzBaNiO~ [6] and AgVP2S 6 [7].…”

Section: Spin Relaxation In Spin Gap Systems: Nmr and ~Tsrmentioning

confidence: 99%

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Spin gap systems: What can be measured by muon spin relaxation?

Kojima

1997

Appl. Magn. Reson.

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Muon spin relaxation (~tSR) and nuclear magnetic resonance (NMR) are powerful probes of magnetism, which have been extensively applied to studies of spin gap systems. Comparison of results obtained with the two techniques gives complementary results, as each is sensitive to different aspects of spin gap magnetism. We discuss recent ~tSR measurements of the spin ladder compounds Sr._lCu.+~O2,, pure and doped Haldane materials (Yz xCa~)Ba(Ni~ • and doped spin Peierls compounds (Cul_~Zn~)(Gel_ySiy)O 3. Spin Relaxation in Spin Gap Systems: NMR and ~tSRSpin gap systems, which are characterized by a finite energy gap between the singlet ground state and the triplet excited states, have attracted great interest recently because they involve many fundamental aspects related to quantum magnetism [1]. The singlet ground state, which is schematically shown asa combination of spin-singlet pairs (Fig. 1), is one important feature of spin gap systems. Since each spin singlet pair is nonmagnetic, this ground state exhibits no magnetic field within the sample. Consequently, there should be no nuclear spin relaxation at T = 0 in ideal spin gala systems. If, experimentally, spin relaxation of a probe nucleus observed, the relaxation is caused by either a coupling to (1) triplet excitations which are magnetic, or (2) local imperfections of the singlet state which are associated with impurity doping.In conventional NMR measurements of undoped spin gap systems, it has been shown that the coupling to the excitation (1) is dominant at temperatures comparable to the spin gap energy (kT ~ Eg). The resulting spin relaxation is a typical T 1 relaxation with its relaxation tate (l/T1) increasing at higher temperatures [2][3][4][5][6][7]. If the temperature dependence of the gap energy is negligible, 1/T 1 has a gap-excitation type temperature dependence (1/T 1 oc exp(-Eg/kT)); previous measurements of the nuclear relaxation rate have been analyzed with this form, and the gap en-

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Spin fluctuation and static properties of the local moments in the Haldane-gap system Ni(C2H8

Cited by 29 publications

References 24 publications

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Field-Induced Quantum Soliton Lattice in a Frustrated Two-Leg Spin-1/2Ladder

Spin gap systems: What can be measured by muon spin relaxation?

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Spin fluctuation and static properties of the local moments in the Haldane-gap system Ni(C2H8

Cited by 29 publications

References 24 publications

Field-induced effects of anisotropic magnetic interactions in SrCu2(BO3)2

Field-induced effects of anisotropic magnetic interactions in SrCu2(BO3)2

Field-Induced Quantum Soliton Lattice in a Frustrated Two-Leg Spin-1/2Ladder

Spin gap systems: What can be measured by muon spin relaxation?

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Product

Resources

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Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂