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

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 11, 2002, Pages 1-5

  Yannouleas, Constantine ^a   Landman, Uzi ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

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Indexed keywords

EID: 84887252285     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.115315     Document Type: Article

References (36)

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30. 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. Projection operator (6) is a generalization of the simpler (formula presented) 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).
32. The algebraic manipulations reported here were performed using MATHEMATICA; see S. Wolfram, Mathematica: A System for Doing Mathematics by Computer (Addison-Wesley, Reading, MA, 1991).
33. The magic angular momenta for (formula presented) 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. 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 For an example, see Table II in ArXiv: cond-mat/0202062 (unpublished).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. In Eq. (11), the corresponding (formula presented) values are (formula presented).
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