Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu
 2
 (BO
 3
 )
 2

Kodama, Kazuhisa; Takigawa, Masaharu; Horvatić, M.; Berthier, Y.; Kageyama, Hiroshi; Ueda, Yutaka; Miyahara, Shin; Becca, Federico; Mila, Frédéric

doi:10.1126/science.1075045

Cited by 320 publications

(333 citation statements)

References 31 publications

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“…In that respect, SrCu 2 (BO 3 ) 2 , a physical realization of the Shastry-Sutherland model, is a prominent candidate, with plateaux at m = 1/8, m = 1/4 and m = 1/3 that spontaneously break the translational symmetry of the crystal. 27,28 It is well established by now that there are significant Dzyaloshinskii-Moriya interactions in that compound 29 and that a gap persists in the region between the m = 0 and m = 1/8 plateaux, and closes (or has a deep minimum) before entering the m = 1/8 plateau. This behavior is reminiscent of the gap behavior we found for the frustrated ladder.…”

Section: Discussionmentioning

confidence: 99%

Condensation of magnons and spinons in a frustrated ladder

Fouet¹,

Mila

Clarke

et al. 2006

Phys. Rev. B

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Motivated by the ever-increasing experimental effort devoted to the properties of frustrated quantum magnets in a magnetic field, we present a careful and detailed theoretical analysis of a onedimensional version of this problem, a frustrated ladder with a magnetization plateau at m = 1/2. We show that even for purely isotropic Heisenberg interactions, the magnetization curve exhibits a rather complex behavior that can be fully accounted for in terms of simple elementary excitations. The introduction of anisotropic interactions (e.g., Dzyaloshinskii-Moriya interactions) modifies significantly the picture and reveals an essential difference between integer and fractional plateaux. In particular, anisotropic interactions generically open a gap in the region between the plateaux, but we show that this gap closes upon entering fractional plateaux. All of these conclusions, based on analytical arguments, are supported by extensive Density Matrix Renormalization Group calculations.

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Section: Discussionmentioning

confidence: 99%

Condensation of magnons and spinons in a frustrated ladder

Fouet¹,

Mila

Clarke

et al. 2006

Phys. Rev. B

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“…This material shows an excitation gap ∆ 0 =35 K and plateaus at 1/8, 1/4, and 1/3 of the saturated magnetization [3,4,5]. A magnetic superlattice at the 1/8-plateau has actually been observed by NMR experiments [6]. …”

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confidence: 87%

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Kodama

Miyahara

Takigawa

et al. 2005

J. Phys.: Condens. Matter

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Abstract. We observed a field-induced staggered magnetization in the 2D frustrated dimer singlet spin system SrCu 2 (BO 3 ) 2 by 11 B NMR, from which the magnitudes of the intradimer Dzyaloshinsky-Moriya interaction and the staggered g-tensor were determined. These anisotropic interactions cause singlet-triplet mixing and eliminate a quantum phase transition at the expected critical field H c for gap closing. They provide a quantitative account for some puzzling phenomena such as the onset of a uniform magnetization below H c and the persistence of the excitation gap above H c . The gap was accurately determined from the activation energy of the nuclear relaxation rate.Spin systems with singlet ground states exhibit a variety of quantum phase transitions in magnetic field [1]. A generic example is the Bose-Einstein condensation of triplets when the field exceeds the critical value at which the excitation energy vanishes. This results in an antiferromagnetic order with the staggered moment perpendicular to the field, as has been observed, e.g., in TlCuCl 3 [2]. Another possibility is the formation of a superlattice of localized triplets due to repulsive interactions, which translates into magnetization plateaus at fractional values of the saturated magnetization. The best known example is SrCu 2 (BO 3 ) 2 with its two-dimensional network of orthogonal dimers of Cu 2+ ions (spin 1/2). This material shows an excitation gap ∆ 0 =35 K and plateaus at 1/8, 1/4, and 1/3 of the saturated magnetization [3,4,5]. A magnetic superlattice at the 1/8-plateau has actually been observed by NMR experiments [6].

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“…From an experimental point of view, an impressive number of materials with unconventional magnetic properties has been discovered, including quasi-one-dimensional and ladder systems, 1,2 quasi-twodimensional compounds with highly frustrated magnetic interactions, 3 systems of weakly coupled dimers in various geometries, 4,5,6,7 and fully three-dimensional frustrated systems based on corner sharing tetrahedra. 8 A particular role in the list of frustrated magnetic systems is played by the magnetoplumbite SrCr 8−x Ga 4+x O 19 , in which the anomalous magnetic properties are commonly attributed to planes of Cr 3+ ions on the so-called kagome lattice, a lattice which can be described as a triangular lattice of triangles (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Freezing and large time scales induced by geometrical frustration

2003

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We investigate the properties of an effective Hamiltonian with competing interactions involving spin and chirality variables, relevant for the description of the trimerized version of the spin-1/2 kagome antiferromagnet. Using classical Monte Carlo simulations, we show that remarkable behaviors develop at very low temperatures. Through an order by disorder mechanism, the low-energy states are characterized by a dynamical freezing of the chiralities, which decouples the lattice into "dimers" and "triangles" of antiferromagnetically coupled spins. Under the presence of an external magnetic field, the particular topology of the chiralities induces a very slow spin dynamics, reminiscent of what happens in ordinary spin glasses.

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Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu ₂ (BO ₃ ) ₂

Cited by 320 publications

References 31 publications

Condensation of magnons and spinons in a frustrated ladder

Condensation of magnons and spinons in a frustrated ladder

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂

Freezing and large time scales induced by geometrical frustration

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Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu 2 (BO 3 ) 2

Cited by 320 publications

References 31 publications

Condensation of magnons and spinons in a frustrated ladder

Condensation of magnons and spinons in a frustrated ladder

Field-induced effects of anisotropic magnetic interactions in SrCu2(BO3)2

Freezing and large time scales induced by geometrical frustration

Contact Info

Product

Resources

About

Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu ₂ (BO ₃ ) ₂

Field-induced effects of anisotropic magnetic interactions in SrCu₂(BO₃)₂