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Volumn 66, Issue 11, 2002, Pages 1153151-1153155

Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CORRELATION COEFFICIENT; ELECTRON; ELEMENTARY PARTICLE; MAGNETIC FIELD; MAGNETISM; MATHEMATICAL ANALYSIS; WAVEFORM;

EID: 0037105065     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (76)

References (36)
  • 15
    • 33744723980 scopus 로고
    • F.D.M. Haldane, Phys. Rev. Lett. 51, 605 (1983); S.A. Trugman and S. Kivelson, Phys. Rev. B 31, 5280 (1985).
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 605
    • Haldane, F.D.M.1
  • 22
    • 85019517055 scopus 로고    scopus 로고
    • C. Yannouleas and U. Landman, Phys. Rev. Lett. 82, 5325 (1999); 85, 2220(E) (2000).
    • (2000) Phys. Rev. Lett. , vol.85
  • 25
    • 33744558875 scopus 로고    scopus 로고
    • note
    • Depending an the strength of the interelectron repulsion, WM's can also form at zero magnetic field; see Refs. 13, 20, and 21. For a CPD/exact-solution study of such WM's at B = 0, see Ref. 24.
  • 28
    • 4243943579 scopus 로고    scopus 로고
    • A certain degree of Wigner crystallization has also been found in another geometry, i.e., in an infinite Hall bar at an integral filling factor v = 2; see J.P. Rodriguez, M.J. Franco, and L. Brey, Phys. Rev. B 61, 16787 (2000).
    • (2000) Phys. Rev. B , vol.61 , pp. 16787
    • Rodriguez, J.P.1    Franco, M.J.2    Brey, L.3
  • 30
    • 33744705854 scopus 로고    scopus 로고
    • note
    • In our earlier publications (Refs. 13, 14, 20, and 21), we have used the term spin-and-space (sS)-UHF to emphasize the breaking of both the spin and space symmetries. In this paper, only the breaking of the space symmetry is involved.
  • 31
    • 33744670953 scopus 로고    scopus 로고
    • note
    • L operator used for restoring the circular symmetry in the simplest (0,N) and (1,N-1) ring arrangements (Ref. 21), or for objects without a ring structure (Ref. 19).
  • 33
    • 33744658731 scopus 로고    scopus 로고
    • note
    • The magic angular momenta for N≤7 have been also discussed in the context of the geometric configuration (Refs. 9 and 10) and the Eckart frame (Ref. 11) models. However, unlike our approach, these models do not afford derivation of analytical forms for the REM wave functions.
  • 34
    • 33744580212 scopus 로고    scopus 로고
    • note
    • The REM functions also have close-to-unity overlaps with the exact wave functions. For an example, see Table II in ArXiv: cond-mat/0202062 (unpublished).
  • 35
    • 33744688651 scopus 로고    scopus 로고
    • note
    • 3=7.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.