Single-ion anisotropy effects on the energy spectra of spin S=1 Heisenberg ring

Kamieniarz, G.; Haglauer, Monika; Musiał, G.; D'Auria, A. Caramico; Esposito, Francesco; Gatteschi, Dante

doi:10.1016/j.ica.2007.06.019

Cited by 9 publications

(9 citation statements)

References 18 publications

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“…1). In the isotropic limit (D = 0) the non-zero biquadratic exchange modifies this order: the second excited state has S = 10, whereas for K = 0 three consecutive excited levels have S = 11 with k = 1, 2, 3 [3].…”

Section: Resultsmentioning

confidence: 99%

“…Relatively not so large dimensions of eigenproblems make possible to apply exact (at least numerically) methods to quite complicated models [3,4]. In this communication we present two model Hamiltonians with results obtained by two different methods.…”

Section: Introductionmentioning

confidence: 99%

“…The second non-perturbative method applied is based on the so-called quantum transfer matrix (QTM) [3,4]. In this paper this technique is used to calculate the magnetic susceptibility of the Cr 7 Cd dimetallic ring (S = 3/2 for chromium ions, Cd is a non-magnetic substitute) [5,6].…”

Section: Introductionmentioning

confidence: 99%

“…Introduction Molecular-based nanomagnets are important in fundamental physics and are good candidates for applications in the domain of magnetic storage, molecular spintronics and quantum computing [1, 2]. Relatively not so large dimensions of eigenproblems make possible to apply exact (at least numerically) methods to quite complicated models [3,4]. In this communication we present two model Hamiltonians with results obtained by two different methods.…”

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confidence: 99%

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Modeling of the Experimental Molecular-Based Ring-Shaped Nanomagnets

et al. 2010

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Quantum transfer matrix technique and numerically exact diagonalization method are applied to the Heisenberg spin systems to model ring-shaped molecules. Two cases are investigated: (i) a dozen of S = 1 spins with additional biquadratic exchange and (ii) a dimetallic molecule Cr7Cd, where it is assumed that exchange anisotropy is determined in a local coordination system. In the latter case the calculated susceptibility is compared with experimental results.PACS numbers: 75.40.Cx, 75.40.Mg 1. Introduction Molecular-based nanomagnets are important in fundamental physics and are good candidates for applications in the domain of magnetic storage, molecular spintronics and quantum computing [1, 2]. Relatively not so large dimensions of eigenproblems make possible to apply exact (at least numerically) methods to quite complicated models [3,4]. In this communication we present two model Hamiltonians with results obtained by two different methods.At first we study influence of biquadratic exchange on the ground state energy and ordering of excited levels in the case of a dodecanuclear ring of spins S = 1 in the presence of single-ion anisotropy. Hence, the model Hamiltonian is as follows:

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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Modeling of the Experimental Molecular-Based Ring-Shaped Nanomagnets

et al. 2010

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“…The zero-temperature properties of this system have been known [27]. Our motivation to study this problem is less analytical study on paramagnetic properties.…”

Section: Introductionmentioning

confidence: 99%