Matches in SemOpenAlex for { <https://semopenalex.org/work/W2063700866> ?p ?o ?g. }
- W2063700866 abstract "Spin tunneling is investigated in magnetic molecules that have an easy axis with fourfold symmetry, such as ${mathrm{Mn}}_{12}$-acetate, with emphasis on understanding the topological quenching of tunneling and the diabolical point locations in the magnetic field space. This is done using a model spin Hamiltonian that has a fourth-order term describing the tetragonal anisotropy. The problem is studied qualitatively using instantons and quantitatively using two methods: a discrete phase integral or Wentzel-Kramers-Brillouin method and perturbation theory in the fourth-order anisotropy and transverse magnetic field. The former method is used to find the splitting between various levels when the applied magnetic field is along the hard axis and is found to give good quantitative answers. The latter method is employed for fields which may have an easy component in addition to a hard one and is found to be effective in locating all the diabolical points. These points are found as the roots of a small number of polynomials in the hard component of the magnetic field and the basal plane anisotropy. These roots are used to obtain approximate formulas that apply to any system with total spin $S<~10.$ The analytic results are found to compare reasonably well with exact numerical diagonalization for the case of ${mathrm{Mn}}_{12}$-acetate. In addition, perturbation theory shows that the diabolical points may be indexed by the magnetic quantum numbers of the levels involved, even at large transverse fields. Certain points of degeneracy are found to be mergers (or near mergers) of two or three diabolical points because of the symmetry of the problem." @default.
- W2063700866 created "2016-06-24" @default.
- W2063700866 creator A5033422411 @default.
- W2063700866 creator A5086661531 @default.
- W2063700866 date "2002-01-15" @default.
- W2063700866 modified "2023-10-16" @default.
- W2063700866 title "Topological quenching of spin tunneling in magnetic molecules with a fourfold easy axis" @default.
- W2063700866 cites W1963561621 @default.
- W2063700866 cites W1965586668 @default.
- W2063700866 cites W1971088646 @default.
- W2063700866 cites W1972335601 @default.
- W2063700866 cites W1975848089 @default.
- W2063700866 cites W1981060785 @default.
- W2063700866 cites W2002762653 @default.
- W2063700866 cites W2004323451 @default.
- W2063700866 cites W2005237305 @default.
- W2063700866 cites W2011508391 @default.
- W2063700866 cites W2012081226 @default.
- W2063700866 cites W2013226966 @default.
- W2063700866 cites W2021483030 @default.
- W2063700866 cites W2021760126 @default.
- W2063700866 cites W2035425407 @default.
- W2063700866 cites W2038409508 @default.
- W2063700866 cites W2043923590 @default.
- W2063700866 cites W2046056040 @default.
- W2063700866 cites W2053611121 @default.
- W2063700866 cites W2056564927 @default.
- W2063700866 cites W2056941702 @default.
- W2063700866 cites W2060416143 @default.
- W2063700866 cites W2066966434 @default.
- W2063700866 cites W2071760812 @default.
- W2063700866 cites W2073247547 @default.
- W2063700866 cites W2074990455 @default.
- W2063700866 cites W2076189759 @default.
- W2063700866 cites W2077565750 @default.
- W2063700866 cites W2077797538 @default.
- W2063700866 cites W2079429526 @default.
- W2063700866 cites W2089740902 @default.
- W2063700866 cites W2095057286 @default.
- W2063700866 cites W2097780038 @default.
- W2063700866 cites W2145657324 @default.
- W2063700866 cites W2407618522 @default.
- W2063700866 cites W3099647733 @default.
- W2063700866 cites W3103492663 @default.
- W2063700866 cites W3105286942 @default.
- W2063700866 cites W3146093719 @default.
- W2063700866 cites W4245597762 @default.
- W2063700866 cites W4251196226 @default.
- W2063700866 doi "https://doi.org/10.1103/physrevb.65.064411" @default.
- W2063700866 hasPublicationYear "2002" @default.
- W2063700866 type Work @default.
- W2063700866 sameAs 2063700866 @default.
- W2063700866 citedByCount "23" @default.
- W2063700866 countsByYear W20637008662012 @default.
- W2063700866 countsByYear W20637008662013 @default.
- W2063700866 countsByYear W20637008662014 @default.
- W2063700866 countsByYear W20637008662015 @default.
- W2063700866 countsByYear W20637008662016 @default.
- W2063700866 countsByYear W20637008662017 @default.
- W2063700866 countsByYear W20637008662018 @default.
- W2063700866 countsByYear W20637008662019 @default.
- W2063700866 countsByYear W20637008662020 @default.
- W2063700866 crossrefType "journal-article" @default.
- W2063700866 hasAuthorship W2063700866A5033422411 @default.
- W2063700866 hasAuthorship W2063700866A5086661531 @default.
- W2063700866 hasConcept C115260700 @default.
- W2063700866 hasConcept C120398109 @default.
- W2063700866 hasConcept C121332964 @default.
- W2063700866 hasConcept C125198404 @default.
- W2063700866 hasConcept C126255220 @default.
- W2063700866 hasConcept C130787639 @default.
- W2063700866 hasConcept C26873012 @default.
- W2063700866 hasConcept C33923547 @default.
- W2063700866 hasConcept C62520636 @default.
- W2063700866 hasConceptScore W2063700866C115260700 @default.
- W2063700866 hasConceptScore W2063700866C120398109 @default.
- W2063700866 hasConceptScore W2063700866C121332964 @default.
- W2063700866 hasConceptScore W2063700866C125198404 @default.
- W2063700866 hasConceptScore W2063700866C126255220 @default.
- W2063700866 hasConceptScore W2063700866C130787639 @default.
- W2063700866 hasConceptScore W2063700866C26873012 @default.
- W2063700866 hasConceptScore W2063700866C33923547 @default.
- W2063700866 hasConceptScore W2063700866C62520636 @default.
- W2063700866 hasIssue "6" @default.
- W2063700866 hasLocation W20637008661 @default.
- W2063700866 hasOpenAccess W2063700866 @default.
- W2063700866 hasPrimaryLocation W20637008661 @default.
- W2063700866 hasRelatedWork W1777758032 @default.
- W2063700866 hasRelatedWork W1957634295 @default.
- W2063700866 hasRelatedWork W1971928506 @default.
- W2063700866 hasRelatedWork W1975443463 @default.
- W2063700866 hasRelatedWork W2012241513 @default.
- W2063700866 hasRelatedWork W2032708405 @default.
- W2063700866 hasRelatedWork W2083086656 @default.
- W2063700866 hasRelatedWork W2084763406 @default.
- W2063700866 hasRelatedWork W2317245211 @default.
- W2063700866 hasRelatedWork W3087787224 @default.
- W2063700866 hasVolume "65" @default.
- W2063700866 isParatext "false" @default.
- W2063700866 isRetracted "false" @default.