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Volumn 2, Issue 3, 2012, Pages

General derivation of the Green's functions for the atomic approach of the Anderson model: Application to a single electron transistor (SET)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; CAPACITANCE MEASUREMENT; CRYSTAL IMPURITIES; QUANTUM CHEMISTRY; SEMICONDUCTOR QUANTUM DOTS; SEMICONDUCTOR QUANTUM WIRES;

EID: 84884890562     PISSN: None     EISSN: 21583226     Source Type: Journal    
DOI: 10.1063/1.4746773     Document Type: Article
Times cited : (6)

References (38)
  • 11
    • 85099493829 scopus 로고    scopus 로고
    • note
    • 13 (we shall use II to indicate this reference). Other details not given in the present paper, like the analytic solution of the AAS, can be found in Ref. 10.
  • 12
    • 85099494114 scopus 로고    scopus 로고
    • note
    • j,k,σ.
  • 14
    • 0000145116 scopus 로고
    • edited by C. Domb, and M. S. Green, Academic, London
    • M. Wortis, Phase Transitions and Critical Phenomena, edited by C. Domb, and M. S. Green, Vol. 3 (Academic, London, 1974) p. 113.
    • (1974) Phase Transitions and Critical Phenomena , vol.3 , pp. 113
    • Wortis, M.1
  • 16
    • 84885031305 scopus 로고    scopus 로고
    • note
    • In that Appendix, the ν(α, k, σ, ±u) in the item 2(b) of Rule C.2 should be changed into V(α, k, σ, ±u).
  • 17
    • 84885039058 scopus 로고    scopus 로고
    • note
    • n appears also in the perturbation expansion contribution of any graph of order n, i.e. with n internal edges (cf. the cumulant expansion for the Ising model in Ref. 14, where this sign has been included in the interaction constant in its Eq. (2)) We have then added a factor (- 1) to every internal edge, and therefore this extra factors would only change the sign of a graph's contribution when it is of odd order. This sign appears explicitly in the expansion of the PAM in I (cf. Eqs. (3.8) and (3.11) of that reference) but it was left out from the diagrams contribution by an oversight. Note that this sign does not depend on the Fermionic character of the X operators.
  • 18
    • 84885084357 scopus 로고    scopus 로고
    • note
    • To simplify the notation we use Δ(x) = 0 when x ≠ 0 and Δ(0) = 1.
  • 38
    • 84885080855 scopus 로고    scopus 로고
    • note
    • ap, and employing these approximate cumulants we calculate the lattice Green's functions. This opens the possibility of applying the method to a broad class of physical problems governed by the Kondo scale: quantum dots, Anderson impurity problems, Kondo insulators and intermediate and heavy fermion problems.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.