Gapped Ground State in the Spin-\(\frac{{\bf 1}}{{\bf 2}}\) Trimer Chain System Cu3Cl6(H2O)2·2H8C4SO2

Ishii, M.; Tanaka, Hidekazu; Hori, M.; Uekusa, Hidehiro; Ohashi, Yuji; Tatani, K.; Narumi, Yasuo; Kindo, Koichi

doi:10.1143/jpsj.69.340

Cited by 33 publications

(66 citation statements)

References 23 publications

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“…It should be noted that the criterion (1) is a necessary but not a sufficient condition for the rational magnetization plateau formation. Experimentally, rational values of the saturation magnetization can be observed in numerous insulating materials, such as the azurite Cu 3 (CO 3 ) 2 (OH) 2 [30][31][32], Cu(3-Clpy) 2 (N 3 ) 2 [33,34] Cu 3 (P 2 O 6 OM) 2 (M=H, P) [35,36], NH 4 CuCl 3 [37], Cu 3 Cl 6 (H 2 O) 2 · 2H 8 C 4 SO 2 [38], etc. * Electronic address: galisova.lucia@gmail.com…”

Section: Introductionmentioning

confidence: 99%

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Gálisová

2017

Phys. Rev. E

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The double-tetrahedral chain in a longitudinal magnetic field, whose nodal lattice sites occupied by the localized Ising spins regularly alternate with triangular plaquettes with the dynamics described by the Hubbard model, is rigorously investigated. It is demonstrated that the uniform change of electron concentration controlled by the chemical potential in a combination with the competition between model parameters and the external magnetic field leads to the formation of one chiral and seven non-chiral phases at the absolute zero temperature. Rational plateaux at onethird and one-half of the saturation magnetization can also be identified in the low-temperature magnetization curves. On the other hand, the gradual electron doping results in eleven different ground-state regions which distinguish from each other by the evolution of the electron distribution during this process. Several doping-dependent magnetization plateaux are observed in the magnetization process as a result of the continuous change of electron content in the model.

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Section: Introductionmentioning

confidence: 99%

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Gálisová

2017

Phys. Rev. E

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“…1(a), is one of such systems, and it has attracted much theoretical interest, particularly after the suggestion by Ishii et al that Cu 3 Cl 6 (H 2 O) 2 Á2H 8 C 4 SO 2 may be the model substance for the S ¼ 1=2 distorted diamond chain with the spin gap. 1) Takano et al studied the S ¼ 1=2 diamond chain model in the case of J 1 ¼ J 3 , and showed that the ground state is in the ferrimagnetic (FRI), tetramer-dimer (TD) and dimer-monomer (DM) phases for J 2 =J 1 < 0:909, 0:909 < J 2 =J 1 < 2 and 2 < J 2 =J 1 , respectively.…”

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confidence: 99%

High Field ESR Study of theS=1/2 Diamond-Chain Substance Cu₃(CO₃)₂(OH)₂up to the Magnetization Plateau Region

et al. 2003

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High field ESR measurements of Cu 3 (CO 3 ) 2 (OH) 2 have been performed in the frequency region from 50 to 900 GHz and in the temperature region from 1.8 to 265 K using the pulsed magnetic field up to 36 T. The large g-shifts below 23 K and the characteristic temperature dependence of the linewidth are discussed in connection with the two maxima of magnetic susceptibility observed at 5 and 23 K. Our ESR results together with the magnetization and theoretical results suggest that the ground state of the system is in the spin fluid (SF) phase at low field and low temperature. From the frequency-field dependence measurements at 1.8 K, the direct transition, which is closely related to the magnetization plateau from 16 to 26 T at 1.5 K, is observed for the first time. The observed frequency-field diagram suggests that the exchange interaction in the dimer is estimated to be about 50 K (1057 GHz). Recently, the study of quantum spin systems with competing interactions, that is, frustration and quantum fluctuation, has attracted great interest. The diamond chain system, as shown in Fig. 1(a), is one of such systems, and it has attracted much theoretical interest, particularly after the suggestion by Ishii et al. that Cu 3 Cl 6 (H 2 O) 2 Á2H 8 C 4 SO 2 may be the model substance for the S ¼ 1=2 distorted diamond chain with the spin gap.1) Takano et al. studied the S ¼ 1=2 diamond chain model in the case of J 1 ¼ J 3 , and showed that the ground state is in the ferrimagnetic (FRI), tetramer-dimer (TD) and dimer-monomer (DM) phases for J 2 =J 1 < 0:909, 0:909 < J 2 =J 1 < 2 and 2 < J 2 =J 1 , respectively.2) It was extended to the S ¼ 1=2 distorted diamond chain model with J 1 , J 2 and J 3 , as shown in Fig. 1(a) by Okamoto et al. and Tonegawa et al., and the ground state phase diagram in the case of H ¼ 0, composed of ferrimagnetic (FRI), dimerized (D) and spin fluid (SF) phases as schematically shown in Fig. 1(b), were determined.3,4) It turned out that the TD and DM states were special cases of the twofold degenerate D and SF states, respectively. Tonegawa et al. also studied the magnetization curve numerically. 4,5) However, it turned out recently that the compound assumed to be Cu 3 Cl 6 -(H 2 O) 2 Á2H 8 C 4 SO 2 was actually Cu 2 Cl 4 Á2H 8 C 4 SO 2 which can be described by the S ¼ 1=2 double-spin chain model. 6)Therefore, the model substance for the S ¼ 1=2 distorted diamond chain is desired strongly from the experimental point of view.Recently, Kikuchi et al. proposed that Cu 3 (CO 3 ) 2 (OH) 2 might be the first model substance for the S ¼ 1=2 diamond chain. 7) Cu 3 (CO 3 ) 2 (OH) 2 is a well-known natural mineral azurite, which has a dark blue color, and it often contains the natural mineral malachite Cu 2 (OH) 2 (CO 3 ), which has a light green color. However, little was known about the magnetic properties of Cu 3 (CO 3 ) 2 (OH) 2 previously, except for the antiferromagnetic order at T N ¼ 1:9 K from the NMR and magnetic susceptibility measurements 8,9) in the restricted low-temperature region between 1.55...

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“…[1][2][3] One limit which has attracted less attention is that when the frustration is removed by the formation of strongly coupled three-spin units called spin trimers. [4][5][6][7][8][9][10] Early experiments and calculations were performed for high (S = 5 2 ) spin states of Fe 3+ and Mn…”

Section: Introductionmentioning

confidence: 99%

Spin dynamics of trimers on a distorted kagome lattice

Harris

Yildirim

2013

Phys. Rev. B

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We treat the ground state, elementary excitations, and neutron scattering cross section for a system of trimers consisting of three tightly bound spins 1/2 on a distorted kagome lattice, subject to isotropic nearest-neighbor (usually antiferromagnetic) Heisenberg interactions. The interactions between trimers are assumed to be weak compared to the intratrimer interactions. We compare the spin-wave excitation spectrum of trimers with that obtained from standard spin-wave theory and attribute the differences at low energy to the fact that the trimer formulation includes exactly the effects of intratrimer zero-point motion. Disciplines Physics | Quantum PhysicsThis journal article is available at ScholarlyCommons: http://repository.upenn.edu/physics_papers/319 We treat the ground state, elementary excitations, and neutron scattering cross section for a system of trimers consisting of three tightly bound spins 1 2 on a distorted kagome lattice, subject to isotropic nearest-neighbor (usually antiferromagnetic) Heisenberg interactions. The interactions between trimers are assumed to be weak compared to the intratrimer interactions. We compare the spin-wave excitation spectrum of trimers with that obtained from standard spin-wave theory and attribute the differences at low energy to the fact that the trimer formulation includes exactly the effects of intratrimer zero-point motion.

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Gapped Ground State in the Spin-\(\frac{{\bf 1}}{{\bf 2}}\) Trimer Chain System Cu₃Cl₆(H₂O)₂·2H₈C₄SO₂

Cited by 33 publications

References 23 publications

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

High Field ESR Study of theS=1/2 Diamond-Chain Substance Cu₃(CO₃)₂(OH)₂up to the Magnetization Plateau Region

Spin dynamics of trimers on a distorted kagome lattice

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Gapped Ground State in the Spin-\(\frac{{\bf 1}}{{\bf 2}}\) Trimer Chain System Cu3Cl6(H2O)2·2H8C4SO2

Cited by 33 publications

References 23 publications

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

High Field ESR Study of theS=1/2 Diamond-Chain Substance Cu3(CO3)2(OH)2up to the Magnetization Plateau Region

Spin dynamics of trimers on a distorted kagome lattice

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Gapped Ground State in the Spin-\(\frac{{\bf 1}}{{\bf 2}}\) Trimer Chain System Cu₃Cl₆(H₂O)₂·2H₈C₄SO₂

High Field ESR Study of theS=1/2 Diamond-Chain Substance Cu₃(CO₃)₂(OH)₂up to the Magnetization Plateau Region