Magnetic susceptibility in the spin-Peierls system<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuGeO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Riera, J.; Dobry, A.

doi:10.1103/physrevb.51.16098

Cited by 233 publications

(236 citation statements)

References 26 publications

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“…It is known that the magnetic susceptibility of CuGeO 3 in the temperature range above the spin-Peierls transition can be well fitted by a frustrated Heisenberg model [13][14][15] . It is often objected, however, that the excellent agreement of theory and experiment is accidental, since it does not take into account interchain interactions and spin-phonon couplings.…”

Section: Thermodynamic Properties a Magnetic Susceptibilitymentioning

confidence: 99%

Thermodynamical properties of a spin-12Heisenberg chain coupled to phonons

Kühne

Löw

1999

Phys. Rev. B

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We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1 2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to treat easily up to 100 phonons per site and the results presented are practically free from truncation errors. We studied in detail the magnetic susceptibility, the specific heat, the phonon occupation, the dimerization, and the spin-correlation function for various spin-phonon couplings and phonon frequencies. In particular we give evidence for the transition from a gapless to a massive phase by studying the finite-size behavior of the susceptibility. We also show that the dimerization is proportional to g 2 /Ω for T < 2J.

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Section: Thermodynamic Properties a Magnetic Susceptibilitymentioning

confidence: 99%

Thermodynamical properties of a spin-12Heisenberg chain coupled to phonons

Kühne

Löw

1999

Phys. Rev. B

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“…The rest of the notation is standard. The presence of a finite J 2 is added for completeness since some dimerized compounds seem to have a sizable next-nearest-neighbors spin-spin interaction [24]. Note that the use of Hamiltonian Eq.…”

Section: B Dimerized Chainsmentioning

confidence: 99%

Enhancement of antiferromagnetic correlations induced by nonmagnetic impurities: Origin and predictions for NMR experiments

et al. 1998

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Spin models that have been proposed to describe dimerized chains, ladders, two dimensional antiferromagnets, and other compounds are here studied when some spins are replaced by spinless vacancies, such as it occurs by Zn doping. A small percentage of vacancies rapidly destroys the spin gap, and their presence induces enhanced antiferromagnetic correlations near those vacancies. The study is performed with computational techniques which includes Lanczos, world-line Monte Carlo, and the Density Matrix Renormalization Group methods. Since the phenomenon of enhanced antiferromagnetism is found to occur in several models and cluster geometries, a common simple explanation for its presence may exist. It is argued that the resonating-valence-bond character of the spin correlations at short distances of a large variety of models is responsible for the presence of robust staggered spin correlations near vacancies and lattice edges. The phenomenon takes place regardless of the long distance properties of the ground state, and it is caused by a "pruning" of the available spin singlets in the vicinity of the vacancies. The effect produces a broadening of the low temperature NMR signal for the compounds analyzed here. This broadening should be experimentally observable in the structurally dimerized chain systems Cu(N O3)2 · 2.5H2O, CuW O4, (V O)2P2O7, and Sr14Cu24O41, in ladder materials such as SrCu2O3, in the spin-Peierls systems CuGeO3 and N aV2O5, and in several others since it is a universal effect common to a wide variety of models and compounds.

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“…For applications to CuGeO 3 it is furthermore uncertain if the pure Heisenberg chain can even yield the qualitative results correctly. From the analysis of the susceptibility data at higher temperature we are led to favour the frustration parameter α = 0.35 [2][3][4] for which the behaviour of the response function deviates considerably from χ 0 /x.…”

Section: Response Functionsmentioning

confidence: 99%

“…There is numerous evidence that in addition to the nearest-neighbour interaction (J) a next-nearestneighbour exchange J ′ = αJ [1][2][3] with α = 0.35 has to be taken into account. Usually the constant α is referred to as frustration parameter.…”

Section: Modelmentioning

confidence: 99%

Pressure dependence and non-universal effects of microscopic couplings on the spin-Peierls transition in CuGeO

Raupach¹,

Klümper²,

Schönfeld³

2000

Eur. Phys. J. B

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The theory by Cross and Fisher (CF) is by now commonly accepted for the description of the spinPeierls transition within an adiabatic approach. The dimerization susceptibility as the essential quantity, however, is approximated by means of a continuum description. Several important experimental observations can not be understood within this scope. Using density matrix renormalization group (DMRG) techniques we are able to treat the spin system exactly up to numerical inaccuracies. Thus we find the correct dependence of the equation of state on the spin-spin interaction constant J, still in an adiabatic approach. We focus on the pressure dependence of the critical temperature which is absent in the CF theory as the only energy scale with considerable pressure dependence is J which drops out completely. Comparing the theoretical findings to the experimentally measured pressure dependence of the spin-Peierls temperature we obtain information on the variation of the frustration parameter with pressure. Furthermore, the ratio of the spectral gap and the transition temperature is analyzed.

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Magnetic susceptibility in the spin-Peierls systemCuGeO3

Cited by 233 publications

References 26 publications

Thermodynamical properties of a spin-12Heisenberg chain coupled to phonons

Thermodynamical properties of a spin-12Heisenberg chain coupled to phonons

Enhancement of antiferromagnetic correlations induced by nonmagnetic impurities: Origin and predictions for NMR experiments

Pressure dependence and non-universal effects of microscopic couplings on the spin-Peierls transition in CuGeO

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