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Volumn 45, Issue 4, 2003, Pages 768-781

Electrodynamical treatment of the electron-hole long-range exchange interaction in semiconductor nanocrystals

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EID: 0038474232     PISSN: 10637834     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1569020     Document Type: Article
Times cited : (20)

References (38)
  • 7
    • 0000498091 scopus 로고
    • [Sov. Phys. JETP 33, 108 (1971)]
    • G. E. Pikus and G. L. Bir, Zh. Éksp. Teor. Fiz. 60, 195 (1971) [Sov. Phys. JETP 33, 108 (1971)]; Zh. Éksp. Teor. Fiz. 62, 324 (1972) [Sov. Phys. JETP 35, 174 (1972)].
    • (1971) Zh. Éksp. Teor. Fiz. , vol.60 , pp. 195
    • Pikus, G.E.1    Bir, G.L.2
  • 8
    • 0001806431 scopus 로고
    • [Sov. Phys. JETP 35, 174 (1972)]
    • G. E. Pikus and G. L. Bir, Zh. Éksp. Teor. Fiz. 60, 195 (1971) [Sov. Phys. JETP 33, 108 (1971)]; Zh. Éksp. Teor. Fiz. 62, 324 (1972) [Sov. Phys. JETP 35, 174 (1972)].
    • (1972) Zh. Éksp. Teor. Fiz. , vol.62 , pp. 324
  • 15
    • 0009043233 scopus 로고    scopus 로고
    • S. V. Goupalov and E. L. Ivchenko, J. Cryst. Growth 184/185, 393 (1998); Acta Phys. Pol. A 94, 341 (1998).
    • (1998) Acta Phys. Pol. A , vol.94 , pp. 341
  • 23
    • 0038398204 scopus 로고    scopus 로고
    • note
    • Note that the term "dipole-dipole," as well as "monopole-monopole", etc., refers here to the coefficients of the expansion of the Coulomb potential in the series near the atomic sites and not to the character of the spatial dependence of the corresponding matrix elements of the long-range exchange Hamiltonian on the band states. The spatial dependence of the matrix element of the long-range exchange Hamiltonian corresponding to the monopole-monopole term consists of a term proportional to the δ function and the remaining part. The spatial dependence of this remaining part coincides with that of the matrix element of the long-range exchange Hamiltonian corresponding to the dipole-dipole term as soon as intra-atomic matrix elements of the velocity operator are substituted by interatomic ones.
  • 32
    • 0038058550 scopus 로고    scopus 로고
    • note
    • The validity of the formula for integration by parts for integrands containing the Coulomb potential can be proven by transformation into the k-space.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.