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Volumn 59, Issue 7, 1999, Pages 5223-5232

Exact numerical study of the ground-state magnetic properties of clusters

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[No Author keywords available]

Indexed keywords


EID: 0038435421     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.5223     Document Type: Article
Times cited : (27)

References (50)
  • 12
    • 85038891327 scopus 로고
    • Phys. Rev. BK. Lee and J. Callaway, 48, 15 358 (1993);
    • (1993) , vol.48 , pp. 15
    • Lee, K.1    Callaway, J.2
  • 18
  • 24
    • 0000454429 scopus 로고
    • Proc. R. Soc. London, Ser. AJ. Hubbard281, 401 (1964);
    • (1964) , vol.281 , pp. 401
    • Hubbard, J.1
  • 34
    • 85038904719 scopus 로고    scopus 로고
    • Ref. 7 exact diagonalization methods have been applied to study the stability of saturated ferromagnetism in 13-atom clusters. The single-spin-flip energy (Formula presented) was determined in the limit of infinite (Formula presented) and the band-filling dependence of (Formula presented) was correlated to electronic shell closings in the single-particle spectrum
    • In Ref. 7 exact diagonalization methods have been applied to study the stability of saturated ferromagnetism in 13-atom clusters. The single-spin-flip energy (Formula presented) was determined in the limit of infinite (Formula presented) and the band-filling dependence of (Formula presented) was correlated to electronic shell closings in the single-particle spectrum.
  • 38
    • 85038953350 scopus 로고    scopus 로고
    • A structure is called bipartite if two distinct subsets of lattice sites A and B can be defined such that every lattice site belongs either to A or to B and that there is no pair of NN’s belonging to the same subset. All NN bonds (or hoppings) connect a site in A with a site in B
    • A structure is called bipartite if two distinct subsets of lattice sites A and B can be defined such that every lattice site belongs either to A or to B and that there is no pair of NN’s belonging to the same subset. All NN bonds (or hoppings) connect a site in A with a site in B.
  • 39
    • 85038891218 scopus 로고    scopus 로고
    • The electron-hole transformation (Formula presented) leaves the Hamiltonian formally unchanged, except for an additive constant and a change of sign in the hopping integrals, which amounts to an inversion of the SP spectrum (Formula presented)
    • The electron-hole transformation (Formula presented) leaves the Hamiltonian formally unchanged, except for an additive constant and a change of sign in the hopping integrals, which amounts to an inversion of the SP spectrum (Formula presented)
  • 40
    • 85038957333 scopus 로고    scopus 로고
    • We have performed calculations on icosahedral clusters (Formula presented) for (Formula presented) by projecting out double electron (hole) occupations for (Formula presented) (Formula presented) The only differences between (Formula presented) and (Formula presented) are the following. (Formula presented) (Formula presented) and (Formula presented) for (Formula presented) and 15, respectively. (Formula presented) (Formula presented) for (Formula presented) (Formula presented) for (Formula presented) In particular for (Formula presented) and (Formula presented) the results for (Formula presented) and (Formula presented) coincide
    • We have performed calculations on icosahedral clusters (Formula presented) for (Formula presented) by projecting out double electron (hole) occupations for (Formula presented) (Formula presented) The only differences between (Formula presented) and (Formula presented) are the following. (Formula presented) (Formula presented) and (Formula presented) for (Formula presented) and 15, respectively. (Formula presented) (Formula presented) for (Formula presented) (Formula presented) for (Formula presented) In particular for (Formula presented) and (Formula presented) the results for (Formula presented) and (Formula presented) coincide.
  • 41
    • 85038889195 scopus 로고    scopus 로고
    • For (Formula presented) and (Formula presented) we find vanishing NN spin correlations that can be interpreted as a resonant-valence-bond-like state (see Ref. 15). A detailed discussion of the (Formula presented) dependence of spin-correlation functions close to half-band filling is beyond the scope of this paper and will be reported elsewhere
    • For (Formula presented) and (Formula presented) we find vanishing NN spin correlations that can be interpreted as a resonant-valence-bond-like state (see Ref. 15). A detailed discussion of the (Formula presented) dependence of spin-correlation functions close to half-band filling is beyond the scope of this paper and will be reported elsewhere.
  • 47
    • 85038893912 scopus 로고    scopus 로고
    • For (Formula presented) the following S are obtained in fcc clusters. (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) (Formula presented) and 2 for (Formula presented) and 24, respectively. Otherwise, the results for (Formula presented) coincide with those for (Formula presented) reported in Fig. 55
    • For (Formula presented) the following S are obtained in fcc clusters. (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) (Formula presented) and 2 for (Formula presented) and 24, respectively. Otherwise, the results for (Formula presented) coincide with those for (Formula presented) reported in Fig. 55.
  • 48
    • 85038940826 scopus 로고    scopus 로고
    • For (Formula presented) the S of hcp clusters are the following. (Formula presented) (Formula presented) and (Formula presented) for (Formula presented) and 17, respectively. (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) (Formula presented) and (Formula presented) for (Formula presented) and 20, respectively. Otherwise, (Formula presented) coincides with (Formula presented)
    • For (Formula presented) the S of hcp clusters are the following. (Formula presented) (Formula presented) and (Formula presented) for (Formula presented) and 17, respectively. (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) (Formula presented) and (Formula presented) for (Formula presented) and 20, respectively. Otherwise, (Formula presented) coincides with (Formula presented)
  • 49
    • 85038893564 scopus 로고    scopus 로고
    • For (Formula presented) the S of bcc clusters are the same as for (Formula presented) except in the following cases. (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) and (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) (Formula presented) for (Formula presented) and (Formula presented)
    • For (Formula presented) the S of bcc clusters are the same as for (Formula presented) except in the following cases. (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) and (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) (Formula presented) for (Formula presented) and (Formula presented)


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