On the Generation of Operator Equivalents and the Calculation of Their Matrix Elements

Ryabov, I. D.

doi:10.1006/jmre.1999.1783

Cited by 43 publications

(33 citation statements)

References 19 publications

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“…In addition, the function stev provides extended Stevens operator matrices O q k for arbitrary spins and arbitrary k P 0 and Àk 6 q 6 k, using a recently published computation method based on spherical tensor operators and a recursion relation for the normalization factors [7,41].…”

Section: Other Functionalitymentioning

confidence: 99%

EasySpin, a comprehensive software package for spectral simulation and analysis in EPR

Stoll

Schweiger

2006

Journal of Magnetic Resonance

5,362

114

4,856

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Section: Other Functionalitymentioning

confidence: 99%

EasySpin, a comprehensive software package for spectral simulation and analysis in EPR

Stoll

Schweiger

2006

Journal of Magnetic Resonance

5,362

114

4,856

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“…Further restriction comes about because the crystalline electric field environment is symmetric under operations of the point group D 3d . Here we use [6,91,92,93…”

Section: Single Ion Propertiesmentioning

confidence: 99%

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

Zvyagin

2013

Low Temperature Physics

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During recent years the interest to frustrated magnets has grown considerably. Such systems reveal very peculiar properties which distinguish them from standard paramagnets, magnetically ordered regular systems (like ferro-, ferri-, and antiferromagnets), or spin glasses. In particular great amount of attention has been devoted to the socalled spin ices, in which magnetic frustration together with the large value of the single-ion magnetic anisotropy of a special kind, yield peculiar behavior. One of the most exciting features of spin ices is related to low-energy emergent excitations, which, from many viewpoints can be considered as analogies of Dirac's monopoles. In this article we review the main achievements of theory and experiment in this field of physics.

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“…[34]. These operators are Hermitian by construction and, after trivial manipulations, we can write them in the following form:…”

Section: B Operatorsmentioning

confidence: 99%

General scheme for stable single and multiatom nanomagnets according to symmetry selection rules

2017

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At low temperature, information can be stored in the orientation of the localized magnetic moment of an adatom. However, scattering of electrons and phonons with the nanomagnet leads its state to have incoherent classical dynamics and might cause fast loss of the encoded information. Recently, it has been understood that such scattering obeys certain selection rules due to the symmetries of the system. By analyzing the point-group symmetry of the surface, the time-reversal symmetry and the magnitude of the adatom effective spin, we identify which nanomagnet configurations are to be avoided and which are promising to encode a stable bit. A new tool of investigation is introduced and exploited: the quasispin quantum number. By means of this tool, our results are easily generalized to a broad class of bipartite cluster configurations where adatoms are coupled through Heisenberg-like interactions. Finally, to make contact with the experiments, numerical simulations have been performed to show how such stable configurations respond to typical scanning tunneling microscopy measurements.

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On the Generation of Operator Equivalents and the Calculation of Their Matrix Elements

Cited by 43 publications

References 19 publications

EasySpin, a comprehensive software package for spectral simulation and analysis in EPR

EasySpin, a comprehensive software package for spectral simulation and analysis in EPR

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

General scheme for stable single and multiatom nanomagnets according to symmetry selection rules

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