New shell structures and their ground electronic states in spherical quantum dots (II) under magnetic field

Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers

Volumn 44, Issue 4 A, 2005, Pages 2041-2050

  Asari, Yusuke ^a   Takeda, Kyozaburo ^a   Tamura, Hiroyuki ^a,b  

^a WASEDA UNIVERSITY   (Japan)

^b Kashino Diverse Brain Research Laboratory of NTT Communication Science Laboratories   (Japan)

Author keywords

Hund's rule; Magnetic field; Quantum dot orbitals; Spherical quantum dot; Spin transition; Unrestricted Hartree Fock method

Indexed keywords

CYCLOTRON RESONANCE; ELECTRONIC STRUCTURE; FREQUENCIES; GROUND STATE; HAMILTONIANS; MAGNETIC FIELD EFFECTS; PHASE TRANSITIONS;

HUND RULE; QUANTUM DOT ORBITALS; SPHERICAL QUANTUM DOT; SPIN TRANSITION; UNRESTRICTED HARTREE-FOCK METHOD;

SEMICONDUCTOR QUANTUM DOTS;

EID: 21344453497     PISSN: 00214922     EISSN: None     Source Type: Journal    
DOI: 10.1143/JJAP.44.2041     Document Type: Article

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19. z.
20. 2 = 5.9 (meV).
21. 17) have succeeded in fabricating the almost spherical semiconductor quantum dots, which have approximately 5 nm radius. Because we target these, we chose the characteristic confinement length of SQD to be 5 nm.
22. A completely opposite feature of the higher shift is expected when the lower-settled QDO is not shrunk more than the higher-settled QDO. However, this case does not occur at all, because the two-level crossing should occur with those two QDO states where the more localized QDO is settled lower than the delocalized QDO. Thus, the characteristic lower shift in the critical magnetic field is universal in the 3D-QDs when the interelectron interaction is included.
23. The coefficient for the magnetic quantum number m always becomes an integer when m < 0, because the third term within the right-hand parentheses of eq. (A·5) is rewritten as (q|m| +pm)/(q - p) = (-q + p)/(q - p)m = -m > 0.