Short-range magnetic order in the frustrated pyrochlore antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CsNiCrF</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Zinkin, M P; Harris, Mark; Zeiske, Th.

doi:10.1103/physrevb.56.11786

Cited by 62 publications

(56 citation statements)

References 14 publications

(10 reference statements)

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“…In both planes, we observe patterns very similar to the one obtained by Monte Carlo simulations in Ref. 39 or by neutron diffraction on Y (Sc)M n 2 [2]. We also note that the cross section in the ([hh0],[00l]) plane is very close to the one previously calculated in the kagome case by the same method [40].…”

Section: Resultssupporting

confidence: 73%

“…The magnetic cross sections are very close to what has been obtained in theoretical approaches (Monte Carlo simulations with Heisenberg spins [39], density matrix expansion for spin S = 1/2 [21]) and experimental results (Y(Sc)Mn 2 [2], CsNiCrF 6 [34,35]). We have reproduced the existence of two dominant magnetic modes that could explain a first order transition induced by magnetoelastic effects [2].…”

Section: Discussionsupporting

confidence: 62%

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Spin-liquid phase in the pyrochlore anti-ferromagnet

Canals¹,

Garanin²

2001

Can. J. Phys.

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Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. As in many Fully Frustrated Lattices, the constraint due to the minimization of the energy and the particular structure based on corner sharing tetrahedra both contribute to the creation of local degrees of freedom. The resulting degeneracy destroys any magnetic order at all temperature and we obtain no sign of criticality, even at T = 0. Calculated neutron scattering cross sections have their maxima beyond the first Brillouin Zone and reproduce experimental results obtained on Y(Sc)Mn2 and CsCrNiF6 as well as theoretical predictions previously obtained by classical Monte Carlo simulations. Evidences for thermal and spatial decoupling of the magnetic modes are found so that the magnetic fluctuations in this system can be approximated by S(q, T ) ≈ f (q)h(T ).

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Section: Resultssupporting

confidence: 73%

Section: Discussionsupporting

confidence: 62%

Spin-liquid phase in the pyrochlore anti-ferromagnet

Canals¹,

Garanin²

2001

Can. J. Phys.

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“…9 strongly resembles that in the appropriate plane for the classical Heisenberg model on the pyrochlore lattice, which was obtained by MC simulations in Ref. 44. In contrast, the perturbative calculation for the quantum AFM model with S = 1/2 on the pyrochlore lattice 45 shows much less revealed triangular shape of the maxima of the neutron cross section.…”

Section: Neutron-scattering Cross Sectionmentioning

confidence: 83%

Classical spin liquid: Exact solution for the infinite-component antiferromagnetic model on thekagomélattice

Garanin

Canals

1999

Phys. Rev. B

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Thermodynamic quantities and correlation functions (CF's) of the classical antiferromagnet on the kagomé lattice are studied for the exactly solvable infinite-component spin-vector model, D → ∞. In this limit, the critical coupling of fluctuations dies out and the critical behavior simplifies, but the effect of would be Goldstone modes preventing ordering at any nonzero temperature is properly accounted for. In contrast to conventional two-dimensional magnets with continuous symmetry showing extended short-range order at distances smaller than the correlation length, r < ∼ ξc ∝ exp(T * /T ), correlations in the kagomé-lattice model decay already at the scale of the lattice spacing due to the strong degeneracy of the ground state characterized by a macroscopic number of strongly fluctuating local degrees of freedom. At low temperatures, spin CF's decay as S0Sr ∝ 1/r 2 in the range a0 ≪ r ≪ ξc ∝ T −1/2 , where a0 is the lattice spacing. Analytical results for the principal thermodynamic quantities in our model are in fairly good quantitative agreement with the Monte Carlo simulations for the classical Heisenberg model, D = 3. The neutron-scattering cross section has its maxima beyond the first Brillouin zone; at T → 0 it becomes nonanalytic but does not diverge at any q. PACS number(s): 75.50.Ee, 75.40.Cx

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“…5,6 Several realizations of pyrochlore magnets have been studied experimentally. 2,[7][8][9] Classical models which include nearest neighbor exchange interactions alone may not be sufficient for explaining all the low temperature properties of some frustrated antiferromagnets. For instance, the origin of the freezing transition must involve additional aspects of the system.…”

Section: Introductionmentioning

confidence: 99%

Order induced by dipolar interactions in a geometrically frustrated antiferromagnet

2000

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We study the classical Heisenberg model for spins on a pyrochlore lattice interacting via long range dipole-dipole forces and nearest neighbor exchange. Antiferromagnetic exchange alone is known not to induce ordering in this system. We analyze low temperature order resulting from the combined interactions, both by using a mean-field approach and by examining the energy cost of fluctuations about an ordered state. We discuss behavior as a function of the ratio of the dipolar and exchange interaction strengths and find two types of ordered phase. We relate our results to the recent experimental work and reproduce and extend the theoretical calculations on the pyrochlore compound, Gd2Ti2O7, by Raju et al., Phys. Rev. B 59, 14489 (1999).

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Short-range magnetic order in the frustrated pyrochlore antiferromagnetCsNiCrF6

Cited by 62 publications

References 14 publications

Spin-liquid phase in the pyrochlore anti-ferromagnet

Spin-liquid phase in the pyrochlore anti-ferromagnet

Classical spin liquid: Exact solution for the infinite-component antiferromagnetic model on thekagomélattice

Order induced by dipolar interactions in a geometrically frustrated antiferromagnet

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