메뉴 건너뛰기




Volumn 64, Issue 8, 2001, Pages

Mean-field theory of the Kondo effect in quantum dots with an even number of electrons

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CONDUCTANCE; ELECTRON; ELEMENTARY PARTICLE; MATHEMATICAL ANALYSIS; QUANTUM THEORY; TEMPERATURE;

EID: 0035880970     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.085322     Document Type: Article
Times cited : (59)

References (41)
  • 10
    • 0000273064 scopus 로고
    • Pis’ma Zh. Éksp. Teor. Fiz., 378 (1988)
    • L I. Glazman and M.É. Raĭkh, Pis’ma Zh. Éksp. Teor. Fiz. 47, 378 (1988) [ JETP Lett.47, 452 (1988)].
    • (1988) JETP Lett. , vol.47 , pp. 452
    • Glazman, L.I.1    É, M.2
  • 30
    • 85038921340 scopus 로고    scopus 로고
    • (private communications)
    • L P. Kouwenhoven (private communications).
    • Kouwenhoven, L.P.1
  • 34
    • 85038963460 scopus 로고    scopus 로고
    • This mean field theory is equivalent to the mean field theory using the slave bosons for (formula presented) Anderson model in the Kondo region (Ref. This method is exact in the large-(formula presented) limit when the dot state is, -fold degenerate
    • This mean field theory is equivalent to the mean field theory using the slave bosons for (formula presented) Anderson model in the Kondo region (Ref. 7). This method is exact in the large-(formula presented) limit when the dot state is N-fold degenerate.
  • 37
    • 85038944071 scopus 로고    scopus 로고
    • The different symmetry means different orbital quantum number for the one-electron states in a quantum dot. We consider the situation for vertical quantum dots where the orbital quantum number, is conserved in the tunneling processes between the dot and leads
    • The different symmetry means different orbital quantum number for the one-electron states in a quantum dot. We consider the situation for vertical quantum dots where the orbital quantum number i is conserved in the tunneling processes between the dot and leads.
  • 38
    • 85038961307 scopus 로고    scopus 로고
    • One finds that (formula presented) in the case of (formula presented), considering the matrix element of the Coulomb interaction between (formula presented) and (formula presented) (formula presented). In rectangular dots (Ref. the matrix element, is not zero and of the same order as the exchange interaction, (formula presented), and smaller than the Hartree term, (formula presented) (charging energy), typically by one order. In a case of (formula presented) (formula presented) and thus (formula presented) for (formula presented) (when the singlet and triplet states are degenerate, (formula presented)
    • One finds that (formula presented) in the case of (formula presented), considering the matrix element of the Coulomb interaction between (formula presented) and (formula presented) (formula presented). In rectangular dots (Ref. 14), the matrix element K is not zero and of the same order as the exchange interaction, (formula presented), and smaller than the Hartree term, (formula presented) (charging energy), typically by one order. In a case of (formula presented) (formula presented) and thus (formula presented) for (formula presented) (when the singlet and triplet states are degenerate, (formula presented).
  • 41
    • 85038946474 scopus 로고    scopus 로고
    • This result is different from that in Ref., which treats the situation of (formula presented) in Eq. (4). Their calculations might be better when (formula presented) is so large that (formula presented) (Ref. formula presented) increases with (formula presented). See discussion in Sec. V
    • This result is different from that in Ref. 25, which treats the situation of (formula presented) in Eq. (4). Their calculations might be better when (formula presented) is so large that (formula presented) (Ref. 35) (formula presented) increases with (formula presented). See discussion in Sec. V.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.