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Volumn 64, Issue 1, 2001, Pages

Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CONDUCTANCE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; QUANTUM THEORY;

EID: 0034896024     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.014416     Document Type: Article
Times cited : (383)

References (53)
  • 33
    • 85038312551 scopus 로고    scopus 로고
    • L. Berger and G. Bergamann, The Hall Effect and its Applications, edited by C. L. Chien and C. R. Westgate (Plenum, New York, 1980), p. 55
    • L. Berger and G. Bergamann, The Hall Effect and its Applications, edited by C. L. Chien and C. R. Westgate (Plenum, New York, 1980), p. 55.
  • 38
    • 85038294845 scopus 로고    scopus 로고
    • Equation (16) is actually an approximate form of the Kohn-Sham-Dirac equation (Formula presented); an approximation generally used to treat relativistic effects in magnetic materials. The calculations presented in Sec. III and Appendix B have also been performed starting from the Kohn-Sham-Dirac equation, in particular the check of the Dirac conductivity in the weak-relativistic limit, and present the same characteristics, namely a cancellation of the supplementary terms when one considers the total conductivity (Formula presented) (see Appendix B)
    • Equation (16) is actually an approximate form of the Kohn-Sham-Dirac equation (Formula presented); an approximation generally used to treat relativistic effects in magnetic materials. The calculations presented in Sec. III and Appendix B have also been performed starting from the Kohn-Sham-Dirac equation, in particular the check of the Dirac conductivity in the weak-relativistic limit, and present the same characteristics, namely a cancellation of the supplementary terms when one considers the total conductivity (Formula presented) (see Appendix B).
  • 44
    • 85038269454 scopus 로고    scopus 로고
    • A. Fert and A. Hamzic, The Hall Effect and its Applications, edited by C. L. Chien and C. R. Westgate (Plenum, New York, 1980), p. 77
    • A. Fert and A. Hamzic, The Hall Effect and its Applications, edited by C. L. Chien and C. R. Westgate (Plenum, New York, 1980), p. 77.
  • 45
    • 85038278600 scopus 로고    scopus 로고
    • cond-mat/0011426, Phys. Rev. B (to be published)
    • A. Crépieux and P. Bruno, cond-mat/0011426, Phys. Rev. B (to be published).
    • Crépieux, A.1    Bruno, P.2
  • 48
    • 85038280311 scopus 로고    scopus 로고
    • Actually, a third series of diagrams gives a non-zero contribution at order (Formula presented) to Eq. (29) which is exactly compensated by opposite term in (Formula presented), as discussed in Appendix B
    • Actually, a third series of diagrams gives a non-zero contribution at order (Formula presented) to Eq. (29) which is exactly compensated by opposite term in (Formula presented), as discussed in Appendix B.
  • 51
    • 85038327100 scopus 로고    scopus 로고
    • J. M. Luttinger, Mathematical Methods in Solid State and Superfluid Theory, edited by R. C. Clark and G. H. Derrick (Oliver and Boyd, Edinburgh, 1969), p. 157
    • J. M. Luttinger, Mathematical Methods in Solid State and Superfluid Theory, edited by R. C. Clark and G. H. Derrick (Oliver and Boyd, Edinburgh, 1969), p. 157.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.