Order by disorder in the classical Heisenberg<i>kagomé</i>antiferromagnet

Reimers, J. N.; Berlinsky, A. J.

doi:10.1103/physrevb.48.9539

Cited by 240 publications

(277 citation statements)

References 58 publications

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“…In structures involving triangular motifs it may be useful to plot the correlation function of the vector or scalar chirality, defined in Ref. [19], or the spin nematic correlation function [Section 5]. In polarised neutron scattering experiments on single-crystal samples it is possible to separate the different Cartesian components of the scattering function with different crystal orientations [2]; the spinflip and non-spin-flip scattering cross-sections which are measured are also accessible from SPINVERT refinements.…”

Section: Real-space: Spin Correlation Functionsmentioning

confidence: 99%

spinvert: a program for refinement of paramagnetic diffuse scattering data

Paddison¹,

Stewart²,

Goodwin³

2013

J. Phys.: Condens. Matter

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Abstract. We present a program (SPINVERT; http://spinvert.chem.ox.ac.uk ) for refinement of magnetic diffuse scattering data for frustrated magnets, spin liquids, spin glasses, and other magnetically disordered materials. The approach uses reverse Monte Carlo refinement to fit a large configuration of spins to experimental powder neutron diffraction data. Despite fitting to sphericallyaveraged data, this approach allows the recovery of the three-dimensional magnetic diffuse scattering pattern and the spin-pair correlation function. We illustrate the use of the SPINVERT program with two case studies. First we use simulated powder data for the canonical Heisenberg kagome model to discuss the sensitivity of SPINVERT refinement to both pairwise and higher-order spin correlations. The effect of limited experimental data on the results is also considered. Second, we re-analyse published experimental data on the frustrated system Y 0.5 Ca 0.5 BaCo 4 O 7 . The results from SPINVERT refinement indicate similarities between Y 0.5 Ca 0.5 BaCo 4 O 7 and its parent compound YBaCo 4 O 7 , which were overlooked in previous analysis using powder data.

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Section: Real-space: Spin Correlation Functionsmentioning

confidence: 99%

spinvert: a program for refinement of paramagnetic diffuse scattering data

Paddison¹,

Stewart²,

Goodwin³

2013

J. Phys.: Condens. Matter

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“…Even in classical systems, frustration generally leads to a large number of degenerate low-energy states, and thermal fluctuation sometimes brings about qualitatively new states [3][4][5]. The J 1 -J 2 square lattice is such a twodimensional frustrated system [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Field-Induced Quantum Phase Transitions inS= 1/2J₁–J₂Heisenberg Model on Square Lattice

Morita

Shibata

2016

J. Phys. Soc. Jpn.

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We study the magnetic field dependence of the ground state of the S = 1/2 J1-J2 Heisenberg model on the square lattice by the density matrix renormalization group (DMRG) method. With the use of the sine-square deformation, we obtain eight different ground states including plaquette valence-bond crystal with a finite spin gap, transverse Néel, transverse stripe, 1/2 magnetization plateau with up-up-up-down (uuud), and three new states we named the Y-like, V-like, and Ψ states around J2/J1 =0.55-0.6. The phase transitions from the transverse Néel (at J2/J1 = 0.55) and stripe (at J2/J1 = 0.6) states to the uuud and Y-like states, respectively, are discontinuous, as in the case of a spin flop.

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“…Investigation was also carried out of additional features predicted by theoretical calculations. 15,16 The kagomé antiferromagnet is particular as the sharing of only one vertex between triangular plaquettes ͑Fig. 1͒ is insufficient to define a unique ground state.…”

Section: Introductionmentioning

confidence: 99%

Short-range order in the topological spin glass(D3O)Fe3(
Wills
¹
,
Oakley
²
,
Visser
³

et al. 2001
Phys. Rev. B
41
7
27
0
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We use polarized xyz neutron diffraction to examine the nature of the freezing transition to an unconventional topological spin-glass state in the Sϭ5/2 kagomé antiferromagnet (D 3 O)Fe 3 (SO 4 ) 2 (OD) 6 . Measurements of the total magnetic scattering cross-section, S(Q), were taken in the momentum-transfer range 0.5 рQр2.5 Å Ϫ1 between the temperatures 1.5 and 250 K. The observation of two-dimensional correlations at 250 K, i.e., in excess of 14 times the freezing temperature, is in agreement with predictions of an anisotropyinduced spin-glass freezing transition in an ordered kagomé antiferromagnet.

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Order by disorder in the classical Heisenbergkagoméantiferromagnet

Cited by 240 publications

References 58 publications

spinvert: a program for refinement of paramagnetic diffuse scattering data

spinvert: a program for refinement of paramagnetic diffuse scattering data

Field-Induced Quantum Phase Transitions inS= 1/2J₁–J₂Heisenberg Model on Square Lattice

Short-range order in the topological spin glass(D3O)Fe3(
Wills
¹
,
Oakley
²
,
Visser
³

et al. 2001
Phys. Rev. B
41
7
27
0
View full text Add to dashboard Cite

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Order by disorder in the classical Heisenbergkagoméantiferromagnet

Cited by 240 publications

References 58 publications

spinvert: a program for refinement of paramagnetic diffuse scattering data

spinvert: a program for refinement of paramagnetic diffuse scattering data

Field-Induced Quantum Phase Transitions inS= 1/2J1–J2Heisenberg Model on Square Lattice

Short-range order in the topological spin glass(D3O)Fe3(Wills1, Oakley2, Visser3 et al. 2001Phys. Rev. B417270View full textAdd to dashboardCite

Contact Info

Product

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About

Field-Induced Quantum Phase Transitions inS= 1/2J₁–J₂Heisenberg Model on Square Lattice

Short-range order in the topological spin glass(D3O)Fe3(
Wills
¹
,
Oakley
²
,
Visser
³

et al. 2001
Phys. Rev. B
41
7
27
0
View full text Add to dashboard Cite