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Volumn 68, Issue 22, 2003, Pages

Static impurities in the S = 1/2 kagome lattice: Dimer freezing and mutual repulsion

Author keywords

[No Author keywords available]

Indexed keywords

DIMER;

EID: 0742270361     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.224416     Document Type: Article
Times cited : (69)

References (39)
  • 26
    • 85039014733 scopus 로고    scopus 로고
    • cond-mat/0305189 (unpublished)
    • P. Nikolic and T. Senthil, cond-mat/0305189 (unpublished).
    • Nikolic, P.1    Senthil, T.2
  • 27
    • 85039016954 scopus 로고    scopus 로고
    • The behavior of the number of inequivant sites as a function of the spin sector arises from the presence of an additional permutation symmetry among the sites for the 27-site cluster with the chosen boundary conditions. This symmetry does not in general commute with the two reflection symmetries of the cluster, and so cannot be obtained simultaneously with these. However, in the majority of spin sectors it is possible to obtain all three symmetries simultaneously, making sites i = 2 and 3, i = 5 and 5′, and i = 4 and 7 equivalent in these cases
    • The behavior of the number of inequivant sites as a function of the spin sector arises from the presence of an additional permutation symmetry among the sites for the 27-site cluster with the chosen boundary conditions. This symmetry does not in general commute with the two reflection symmetries of the cluster, and so cannot be obtained simultaneously with these. However, in the majority of spin sectors it is possible to obtain all three symmetries simultaneously, making sites i = 2 and 3, i = 5 and 5′, and i = 4 and 7 equivalent in these cases.
  • 33
    • 85038973629 scopus 로고    scopus 로고
    • A further heuristic justification for the relevance of the current results at least to the S = 3/2 case may be obtained by considering that the kagome geometry supports a nondegenerate valence-bond-solid state (Ref. 27) for spins S = 2. In a RVB basis a system of spins S = 3/2 is equivalent to a set of dimer vacancies in this background which have exactly the same degeneracy as the dimers in the S = 1/2 system
    • A further heuristic justification for the relevance of the current results at least to the S = 3/2 case may be obtained by considering that the kagome geometry supports a nondegenerate valence-bond-solid state (Ref. 27) for spins S = 2. In a RVB basis a system of spins S = 3/2 is equivalent to a set of dimer vacancies in this background which have exactly the same degeneracy as the dimers in the S = 1/2 system.
  • 37
    • 85038974920 scopus 로고    scopus 로고
    • Reexamination of results obtained by two of the authors (Ref. 19) reveals that a mutual repulsion of impurities also occurs in the spin chain with frustrating next-neighbor interactions
    • Reexamination of results obtained by two of the authors (Ref. 19) reveals that a mutual repulsion of impurities also occurs in the spin chain with frustrating next-neighbor interactions.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.