2010
DOI: 10.1103/revmodphys.82.53
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Magnetic pyrochlore oxides

Abstract: Within the past 20 years or so, there has occurred an explosion of interest in the magnetic behavior of pyrochlore oxides of the type A 3+ 2 B 4+ 2 O 7 where A is a rare-earth ion and B is usually a transition metal. Both the A and B sites form a network of corner-sharing tetrahedra which is the quintessential framework for a geometrically frustrated magnet. In these systems the natural tendency to form long range ordered ground states in accord with the Third Law is frustrated, resulting in some novel short r… Show more

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Cited by 1,325 publications
(1,431 citation statements)
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“…This is a very remarkable result, which also indicates that the holographic model can be applied to other complex pyrochlore materials having magnetic frustration which are leading to the formation of complex magnetic phases such as those observed at the spin glass freezing in Y [40]. The holographic model can also describe the ferrimagnetic phases in other compounds having complex magnetic structure, such as those observed in recently synthesized Pd-based ternary compounds of the form R 2 PdSi 3 , where R is a rare earth atom (see Ref.…”
Section: Apply To Real Materialsmentioning
confidence: 67%
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“…This is a very remarkable result, which also indicates that the holographic model can be applied to other complex pyrochlore materials having magnetic frustration which are leading to the formation of complex magnetic phases such as those observed at the spin glass freezing in Y [40]. The holographic model can also describe the ferrimagnetic phases in other compounds having complex magnetic structure, such as those observed in recently synthesized Pd-based ternary compounds of the form R 2 PdSi 3 , where R is a rare earth atom (see Ref.…”
Section: Apply To Real Materialsmentioning
confidence: 67%
“…Then using the method in Ref. [33], one can find that the retarded Green's function can be expanded in small ω as (40), the retarded Green's function can be written as the following form for small ω and q,…”
Section: B Linear Perturbations and Dynamic Exponentmentioning
confidence: 99%
“…Rare earth pyrochlore oxides have been of recent interest, often with Ti or Sn on the nonmagnetic B site (i.e., materials of the type RE 2 (Ti/Sn) 2 behavior. 1,2,3,4,5 Rare earth pyrochlores are well-known for their low magnetic coupling strengths, which add a layer of complexity to the interpretation of their magnetic properties, as small changes in structure or the influence of what are nominally weak auxiliary interactions can significantly affect their ground state at low temperatures. Investigation of pyrochlore systems containing elements with larger magnetic interactions, such as transition metals, may therefore present alternative pathways in the study of magnetic frustration.…”
Section: Introductionmentioning
confidence: 99%
“…An overall experimental picture of the magnetic properties emerges. Introduction -The broad interest in geometrically frustrated magnetic materials such as pyrochlore insulator compounds R 2 M 2 O 7 (F d3m space group), where R is a rare earth ion and M a non magnetic element, arises from the large diversity of magnetic ground states and exotic fluctuations and excitations encountered [1,2,3,4,5]. This is due to the combined effects of the geometrical constraint resulting from the topology of the pyrochlore lattice and the action of the different possible interactions.…”
mentioning
confidence: 99%