Magnetic properties of a spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>quadrumer chain

Honecker, A.; Brenig, Wilhelm

doi:10.1103/physrevb.63.144416

Cited by 22 publications

(31 citation statements)

References 29 publications

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“…0.54. [26] This would be even larger than the dimerisation observed in CuGeO 3 . Thus, it seems unlikely, that the shifts of the vanadium sites and the resulting dimerisation in α'-NaV 2 O 5 which is an order of magnitude smaller than that for CuGeO 3 should give an exchange dimerisation of the same order of magnitude.…”

Section: Exchange Coupling Constant Alternationmentioning

confidence: 86%

Structure determination, valence, and superexchange in the dimerized low temperature phase of α ′ - NaV 2 O 5

et al. 2001

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Abstract. We report results of a new analysis for the low-temperature structure of α'-NaV2O5 from synchrotron x-ray diffraction experiments. We confirm the existence of two inequivalent ladder structures in each vanadium layer. Based on our structural data we perform a bond-valence calculation for the vanadium sites in the low temperature state. Due to an asymmetric charge ordering we obtain only two different vanadium valences despite the three inequivalent sites. This explains the 51 V-NMR observation of only two resonant peaks in the charge ordered phase. By use of a Slater-Koster method to obtain hopping matrix elements and cluster calculations we obtain effective vanadium-vanadium hoppings which compare well to LDA results. Using these in a cluster calculation we obtain a superexchange of 0.047 eV between electrons on neighbouring rungs of the same ladder for the undistorted phase. For the distorted phase we find a significant alternation in the shifts of the oxygen atoms along the legs of one of the two ladder types which leads to a significant exchange dimerisation δJ ≈ 0.25. PACS

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Section: Exchange Coupling Constant Alternationmentioning

confidence: 86%

Structure determination, valence, and superexchange in the dimerized low temperature phase of α ′ - NaV 2 O 5

et al. 2001

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“…The rest terms in the Hamiltonian (A2) or (A3) are treated as the perturbation V = H − H main . The wanted effective Hamiltonian follows from the perturbation-theory formula [34][35][36]…”

Section: Acknowledgmentsmentioning

confidence: 99%

Thermodynamic properties of Ba2CoSi2O6Cl2 in a strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet

et al. 2018

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The search for flat-band solid-state realizations is a crucial issue to verify or to challenge theoretical predictions for quantum many-body flat-band systems. For frustrated quantum magnets flat bands lead to various unconventional properties related to the existence of localized many-magnon states. The recently synthesized magnetic compound Ba2CoSi2O6Cl2 seems to be an almost perfect candidate to observe these features in experiments. We develop a theory for Ba2CoSi2O6Cl2 by adapting the localized-magnon concept to this compound. We first show that our theory describes the known experimental facts and then we propose new experimental studies to detect a field-driven phase transition related to a Wigner-crystal-like ordering of localized magnons at low temperatures.

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“…We investigate the ground-state phase diagram of the S ¼ 1 2 distorted diamond type quantum spin chain [1][2][3][4] with the XXZ interaction anisotropy [5]. This system is described by the Hamiltonian…”

mentioning

confidence: 99%

Interplay between the trimerization and frustration in spin-12 distorted diamond type spin chain with the XXZ anisotropy

Okamoto

Tokuno

Sakai

2007

Journal of Magnetism and Magnetic Materials

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Magnetic properties of a spin-12quadrumer chain

Cited by 22 publications

References 29 publications

Structure determination, valence, and superexchange in the dimerized low temperature phase of α ′ - NaV 2 O 5

Structure determination, valence, and superexchange in the dimerized low temperature phase of α ′ - NaV 2 O 5

Thermodynamic properties of Ba2CoSi2O6Cl2 in a strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet

Interplay between the trimerization and frustration in spin-12 distorted diamond type spin chain with the XXZ anisotropy

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