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Volumn 79, Issue 16, 2009, Pages

Quantum interference Hall effect in nanopatterned two-dimensional electron gas systems

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EID: 65649106877     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.165307     Document Type: Article
Times cited : (3)

References (19)
  • 7
    • 0037104364 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.66.075309
    • C. C. Wan and P. Sheng, Phys. Rev. B 66, 075309 (2002). 10.1103/PhysRevB.66.075309
    • (2002) Phys. Rev. B , vol.66 , pp. 075309
    • Wan, C.C.1    Sheng, P.2
  • 10
    • 65649148039 scopus 로고    scopus 로고
    • A free software package UMFPACK was used in solving the sparse matrix equation
    • A free software package UMFPACK was used in solving the sparse matrix equation (http://www.cise.ufl.edu/research/sparse/umfpack/).
  • 15
    • 65649107407 scopus 로고    scopus 로고
    • Springer, New York
    • Z. Michalewicz, Genetic Algorithms+Dat Structures=Evolution Programs (Springer, New York, 1999).
    • (1999) Genetic
    • Michalewicz, Z.1
  • 16
    • 65649117916 scopus 로고    scopus 로고
    • From the property of determinant: det (AB) =det (A) â det (B), it is easy to see that det (A) =det (Gâ 1 âÎ âG) =det (Gâ 1) âdet (Î ) âdet (G) =det (Gâ 1 G) âdet (Î ) =det (Î ) = â i=1 N λi, where G is the square NöN matrix whose ith column is the basis eigenvector gi of A, and Î is the diagonal matrix whose diagonal elements are the corresponding eigenvalues, i.e., λi = Î ii.
    • From the property of determinant: det (AB) =det (A) âdet (B), it is easy to see that det (A) =det (Gâ 1 âÎ âG) =det (Gâ 1) âdet (Î ) âdet (G) =det (Gâ 1 G) âdet (Î ) =det (Î ) = â i=1 N λi, where G is the square NöN matrix whose ith column is the basis eigenvector gi of A, and Î is the diagonal matrix whose diagonal elements are the corresponding eigenvalues, i.e., λi = Î ii.
  • 19


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.