Triangular lattice antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Rb</mml:mi><mml:mi mathvariant="normal">Fe</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Mo</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>in high magnetic fields

Smirnov, Alex I.; Yashiro, Haruhiko; Kimura, Shojiro; Hagiwara, Masayuki; Narumi, Yasuo; Kindo, Koichi; Kikkawa, Akiko; Katsumata, Kenji; Shapiro, A. B.; Demianets, L. N.

doi:10.1103/physrevb.75.134412

Cited by 82 publications

(82 citation statements)

References 17 publications

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“…1, the magnetization plateau at 1 3 M s can be stabilized with the help of the biquadratic exchange interaction of the form ÀK ij ðS i Á S j Þ 2 with K i j > 0, 42,44) which mainly arises from the spin-lattice coupling as discussed by Penc et al 44) The biquadratic exchange interaction may be responsible for the magnetization plateau observed for H ? c in RbFe(MoO 4 ) 2 , [45][46][47] in which the normalized plateau range is as large as 0.10 despite spin- In Ba 3 NiSb 2 O 9 , the contribution of the biquadratic exchange interaction should be minimal, because the field range of the magnetization plateau can be explained quantitatively within the bilinear exchange interaction.…”

Section: )mentioning

confidence: 99%

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba₃NiSb₂O₉

et al. 2011

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We report the results of magnetization and specific heat measurements on Ba 3 NiSb 2 O 9 , which is a quasi-twodimensional spin-1 triangular-lattice antiferromagnet. We observed a nonclassical magnetization plateau at one-third of the saturation magnetization that is driven by spin frustration and quantum fluctuation. Exact diagonalization for a 21-site rhombic cluster was performed to analyze the magnetization process. Experimental and calculated results agree well.KEYWORDS: Ba 3 NiSb 2 O 9 , triangular-lattice antiferromagnet, magnetization plateau Triangular-lattice antiferromagnet (TLAF), which is one of the simplest frustrated systems, exhibits a rich variety of physics.1-3) A symbolic quantum effect predicted for smallspin Heisenberg TLAF is that magnetization is quantized at one-third of the saturation magnetization M s in magnetic fields. [4][5][6][7][8] For classical spin, the equilibrium condition in a magnetic field H is given by S 1 þ S 2 þ S 3 ¼ g B H=ð3JÞ with the sublattice spins S i . Because the number of the equations is smaller than the number of parameters to determine the spin configuration, the stable state is not uniquely determined; thus, the ground state is infinitely degenerate. This classical degeneracy can be lifted by the quantum fluctuation that is remarkable for small spin, and a specific spin state is selected as the ground state. Consequently, the up-up-down state is stabilized in a finite field range, which can be observed as a magnetization plateau at 1 3 M s . 9)In experiments, the quantum magnetization plateau at 1 3 M s was actually observed in Cs 2 CuBr 4 , [11][12][13][14][15][16] 12,13) Furthermore, precise thermodynamic measurements revealed the cascade of field-induced quantum phase transitions.17) These unusual observations should be attributed to the spatially anisotropic triangular lattice and the Dzyaloshinsky-Moriya interaction, [18][19][20][21][22] but the overall explanation is still an open question.The motivation of this study comes from a question on whether the ground states for Heisenberg TLAFs with integer and half-integer spins are qualitatively the same. It is known that in the case of kagome-lattice Heisenberg antiferromagnet that is closely related to Heisenberg TLAF, the ground states for spin-1 2 and spin-1 are qualitatively different.23) For spin-1 Heisenberg TLAF, the ground states in zero and finite magnetic fields have not been well understood. NiGa 2 S 4 is known as spin-1 Heisenberg TLAF with incommensurate spin correlation. [24][25][26] In this nickel compound, no clear magnetization plateau has been observed, although the magnetization shows a tiny undulate anomaly at around 1 3 M s .27) To investigate the magnetization process of spin-1 Heisenberg TLAF, we have performed high-field magnetization measurements on Ba 3 NiSb 2 O 9 . As shown below, a nonclassical magnetization plateau was observed at 1 3 M s . Ba 3 NiSb 2 O 9 crystallizes in a high symmetric hexagonal structure, P6 3 =mmc, 28,29) which is the same as the hexagonal BaTiO 3 struct...

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Section: )mentioning

confidence: 99%

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba₃NiSb₂O₉

et al. 2011

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“…c, and such behavior of the ESR modes is similar to that observed in some spiral antiferromagnets with easy-plane anisotropy. 17,18) Since the resonance frequency of the weak resonance signals is almost proportional to the external field, it can be considered to arise from a paramagnetic resonance, as mentioned in the previous paragraph.…”

Section: High-field Esrmentioning

confidence: 99%

“…Considering the easy-plane anisotropy indicated by the neutron scattering experiments, these modes are reminiscent of the spiral spin resonance modes observed in a TLAFM with easy-plane anisotropy. 17,18) In addition, it is known that some low-dimensional magnets in the temperature region where the SRO well develops exhibit resonance modes expected in the LRO phase. 35) Therefore, we analyze the experimental results in terms of conventional spiral spin resonances.…”

Section: Esr Resonance Modes In the Low-temperature Regionmentioning

confidence: 99%

High-Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa₂S₄

et al. 2010

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We report the experimental and analytical results of electron spin resonance (ESR) and magnetization at high magnetic fields of up to about 68 T of the quasi two-dimensional triangular lattice antiferromagnet NiGa 2 S 4 . From the temperature evolution of the ESR absorption linewidth, we find a distinct disturbance of the development of the spin correlation by Z 2 -vortices between 23 and 8.5 K. Below T v ¼ 8:5 K, spin-wave calculations based on a 57 spiral spin order well explain the frequency dependence of the ESR resonance fields and high-field magnetization processes for H k c and H ? c, although the magnetization for H ? c at high fields is different from the calculated one. Furthermore, we explain the field-independent specific heat with a T 2 dependence by the same spin-wave calculation, but the magnitude of specific heat is much less than the observed one. The single ion anisotropy constant (2010) 023701] is a necessary condition for the realization of a Z 2 -vortex-induced topological transition, which would be destroyed by an extremely small D 6 ¼ 0 in a classical nearest-neighbor spin model owing to the large . Accordingly, these results suggest the occurrence of a Z 2 -vortex-induced topological transition at T v and indicate quantum effects beyond the descriptions based on the above classical spin models, for example, those due to quadrupolar correlations.

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“…Being investigated for numerous spin models, the order by disorder mechanism finds so far only a few realizations in magnetic materials. Perhaps the clearest examples of the order by disorder selection are provided by the 1/3-magnetization plateau in triangular-lattice antiferromagnets [3][4][5][6] and by a zerofield noncoplanar spin structure of the XY pyrochlore antiferromagnet Er 2 Ti 2 O 7 [7,8].…”

Section: Introductionmentioning

confidence: 99%

Order from structural disorder in theXYpyrochlore antiferromagnetEr2Ti2O7

Maryasin

Zhitomirsky

2014

Phys. Rev. B

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Effect of structural disorder is investigated for an XY pyrochlore antiferromagnet with continuous degeneracy of classical ground states. Two types of disorder, vacancies and weakly fluctuating exchange bonds, lift degeneracy selecting the same subset of classical ground states. Analytic and numerical results demonstrate that such an "order by structural disorder" mechanism competes with the effect of thermal and quantum fluctuations. Our theory predicts that a small amount of nonmagnetic impurities in Er2Ti2O7 will stabilize the coplanar ψ3 (m x 2 −y 2 ) magnetic structure as opposed to the ψ2 (m 3z 2 −r 2 ) state found in pure material.

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Triangular lattice antiferromagnetRbFe(MoO4)2in high magnetic fields

Cited by 82 publications

References 17 publications

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba₃NiSb₂O₉

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba₃NiSb₂O₉

High-Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa₂S₄

Order from structural disorder in theXYpyrochlore antiferromagnetEr2Ti2O7

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Triangular lattice antiferromagnetRbFe(MoO4)2in high magnetic fields

Cited by 82 publications

References 17 publications

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba3NiSb2O9

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba3NiSb2O9

High-Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa2S4

Order from structural disorder in theXYpyrochlore antiferromagnetEr2Ti2O7

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Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba₃NiSb₂O₉

Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba₃NiSb₂O₉

High-Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa₂S₄