Magnetic-Field Induced Transition to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Magnetization Plateau State in the Geometrically Frustrated Magnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:

Ueda, Hiroaki; Katori, Hiroko Aruga; Mitamura, Hiroyuki; Goto, T.; Takagi, H.

doi:10.1103/physrevlett.94.047202

Cited by 205 publications

(180 citation statements)

References 24 publications

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“…Previous studies have shown that spin-lattice coupling can lift the ground state degeneracy in frustrated magnets [11][12][13][14][15][16][17] . However, the detailed microscopic mechanism, i.e.…”

Section: (C) Shows That At 32 K (T < T N ) For H < 10mentioning

confidence: 99%

“…For CdCr 2 O 4 with  CW = -88 K, the half-magnetization plateau phase occurs for H > 28 Tesla. 12 For HgCr 2 O 4 with  CW = -32 K, on the other hand, the half-magnetization plateau phase occurs for 10 Tesla < H < 28 Tesla and the full magnetization plateau phase for H > 40 Tesla. 13 The hysteretic nature of the fieldinduced transitions is observed with ramping down the field, indicating that the transitions are of first order.…”

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confidence: 99%

“…Recently progress has been made in chemical synthesis to reduce J, which is a very strongly dependent function of Cr 3+ -Cr 3+ distance, by replacing Zn with larger Cd and Hg, and thereby increasing the distance between the magnetic Cr 3+ ions 12,13 . Bulk magnetization measurements on ACr 2 O 4 (A=Cd, Hg) under pulsed fields up to 47 T have revealed field-induced transitions to half-magnetization plateau phases in the low 3 temperature Néel phase.…”

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Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4

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Section: (C) Shows That At 32 K (T < T N ) For H < 10mentioning

confidence: 99%

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Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4

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“…The lattice distortion can occur in different forms, depending on details of the crystal environment: tetragonal I4m2 symmetry for ZnCr 2 O 4 [33], tetragonal I4 1 /amd for CdCr 2 O 4 [33], and orthorhombic F ddd for HgCr 2 O 4 [26,34]. When an external magnetic field is applied to the Neél state, the half-magnetization plateau states appear in CdCr 2 O 4 [35] and HgCr 2 O 4 [26,34] due to the field-induced lattice instability [36,37].…”

Section: Introductionmentioning

confidence: 99%

Néel to spin-glass-like phase transition versus dilution in geometrically frustratedZnCr2−2xGa2x
Lee
¹
,
Ratcliff
²
,
Huang
³

et al. 2008
Phys. Rev. B

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ZnCr2O4 undergoes a first order spin-Peierls-like phase transition at 12.5 K from a cubic spin liquid phase to a tetragonal Neél state.[1] Using powder diffraction and single crystal polarized neutron scattering, we determined the complex spin structure of the Neél phase. This phase consisted of several magnetic domains with different characteristic wave vectors. This indicates that the tetragonal phase of ZnCr2−2xGa2xO4 is very close to a critical point surrounded by many different Neél states. We have also studied, using elastic and inelastic neutron scattering techniques, the effect of nonmagnetic dilution on magnetic correlations in ZnCr2−2xGa2xO4 (x=0.05 and 0.3). For x=0.05, the magnetic correlations do not change qualitatively from those in the pure material, except that the phase transition becomes second order. For x= 0.3, the spin-spin correlations become short range. Interestingly, the spatial correlations of the frozen spins in the x=0.3 material are the same as those of the fluctuating moments in the pure and the weakly diluted materials.

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“…This quasi-elastic magnetic scattering becomes gapped within the low temperature tetragonal phase of ZnCr 2 O 4 , drawing similarities to spin-Peierls physics, albeit in three dimensional materials. Other spinels exhibit unexpected plateaus in their magnetization as a function of field at low temperature which have been of intense interest [19,20]. Such magnetization plateaus have been modeled with biquadratic exchange terms in the effective spin Hamiltonian of these materials, arising from strong magneto-elastic coupling [21].…”

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Structural Fluctuations in the Spin-Liquid State ofTb2Ti2O7

et al. 2007

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High resolution X-ray scattering measurements on single crystal Tb2Ti2O7 reveal finite structural correlations at low temperatures. This geometrically frustrated pyrochlore is known to exhibit a spin liquid, or cooperative paramagnetic state, at temperatures below ∼ 20 K. Parametric studies of structural Bragg peaks appropriate to the Fd3m space group of Tb2Ti2O7 reveal substantial broadening and peak intensity reduction in the temperature regime 20 K to 300 mK. We also observe a small, anomalous lattice expansion on cooling below a density maximum at ∼ 18 K. These measurements are consistent with the development of fluctuations above a cooperative Jahn-Teller, cubic-tetragonal phase transition at very low temperatures.PACS numbers: 75.25.+z, 75.40.Gb, 78.70.ck A magnetic material whose lattice geometry prevents the simultaneous satisfaction of the local magnetic interactions is said to be geometrically frustrated. Such materials, many of which are based on triangular and tetrahedral crystalline architectures, are of intense current interest because they have a natural proclivity towards exotic quantum mechanical ground states [1]. As the leading magnetic interactions on such lattices are frustrated, rather subtle subleading terms in the Hamiltonian, such as interactions beyond nearest-neighbours, weak disorder, and the order-by-disorder mechanism, tend to determine the ultimate ground state of the material.The rare-earth titanates, with formula A 2 Ti 2 O 7 , are a well-studied family of frustrated magnetic insulators. In this family, the A-site is occupied by a trivalent rareearth ion with eight-fold oxygen coordination, while the Ti 4+ ion has six-fold oxygen coordination. Both the A 3+ site and the Ti 4+ site independently reside on the pyrochlore structure, a face-centered cubic lattice of cornersharing tetrahedra which is a playground for phenomena related to geometrical frustration. Depending on the nature of the magnetic rare-earth ion in these materials, their ground states can exhibit long-range magnetic order [2,3], spin ice physics [4,5], and in the case of Tb 2 Ti 2 O 7 , a highly correlated quantum disordered state known as a collective paramagnet or spin liquid [6,7,8].The low temperature properties of Tb 2 Ti 2 O 7 have been extensively studied. However, the crystal lattice is generally assumed to be a passive bystander to the spin liquid physics. In this letter, we present high resolution x-ray scattering evidence for strong fluctuations in the low temperature lattice of Tb 2 Ti 2 O 7 , signifying both a feedback of frustration onto the crystal lattice, and the importance of the lattice degrees of freedom in determining the exotic ground state of this material.Current interest in Tb 2 Ti 2 O 7 is largely due its failure to attain magnetic order of any kind to temperatures as low as 20mK, despite having an antifer- [6,7,8]. Magnetic neutron scattering on Tb 2 Ti 2 O 7 at low temperatures [8] shows diffuse scattering indicative of spin correlations over the spatial extent of a single tetrahedr...

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Magnetic-Field Induced Transition to the1/2Magnetization Plateau State in the Geometrically Frustrated MagnetCdCr

Cited by 205 publications

References 24 publications

Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4

Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4

Néel to spin-glass-like phase transition versus dilution in geometrically frustratedZnCr2−2xGa2x
Lee
¹
,
Ratcliff
²
,
Huang
³

et al. 2008
Phys. Rev. B

Structural Fluctuations in the Spin-Liquid State ofTb2Ti2O7

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Magnetic-Field Induced Transition to the1/2Magnetization Plateau State in the Geometrically Frustrated MagnetCdCr

Cited by 205 publications

References 24 publications

Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4

Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4

Néel to spin-glass-like phase transition versus dilution in geometrically frustratedZnCr2−2xGa2xLee1, Ratcliff2, Huang3 et al. 2008Phys. Rev. B

Structural Fluctuations in the Spin-Liquid State ofTb2Ti2O7

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Product

Resources

About

Néel to spin-glass-like phase transition versus dilution in geometrically frustratedZnCr2−2xGa2x
Lee
¹
,
Ratcliff
²
,
Huang
³

et al. 2008
Phys. Rev. B