TY - JOUR
T1 - Hund's first and second rules in spherical quantum dots (I) in the zero-magnetic field
AU - Asari, Yusuke
AU - Takeda, Kyozaburo
AU - Tamura, Hiroyuki
PY - 2004/7
Y1 - 2004/7
N2 - We theoretically studied the validity of Hund's first and second rules in the three-dimensionally spherically parabolic quantum dot (3D-SPQD). We extended the unrestricted Hartree-Fock (exUHF) approach in order to determine the ground state while conserving the expectation values of the total orbital angular momentum 〈L̂2〉 and its z component 〈L̂z〉 during the scf procedure. We applied this exUHF method to a GaAs 3D-SPQD and obtained the ground-state energy spectra. Our calculation reveals that, among those states having the largest spin multiplicities, the state giving the largest value of 〈L̂ 2〉 is energetically more stable than the others having a smaller value of 〈L̂2〉; that is the spin filling in the 3D-SPQD obeys Hund's first and second rules.
AB - We theoretically studied the validity of Hund's first and second rules in the three-dimensionally spherically parabolic quantum dot (3D-SPQD). We extended the unrestricted Hartree-Fock (exUHF) approach in order to determine the ground state while conserving the expectation values of the total orbital angular momentum 〈L̂2〉 and its z component 〈L̂z〉 during the scf procedure. We applied this exUHF method to a GaAs 3D-SPQD and obtained the ground-state energy spectra. Our calculation reveals that, among those states having the largest spin multiplicities, the state giving the largest value of 〈L̂ 2〉 is energetically more stable than the others having a smaller value of 〈L̂2〉; that is the spin filling in the 3D-SPQD obeys Hund's first and second rules.
KW - Hund's rule
KW - Quantum dot orbitals
KW - Spherical quantum dot
KW - Spin-filling
KW - Total orbital angular momentum
KW - Unrestricted Hartree-Fock method
UR - http://www.scopus.com/inward/record.url?scp=4644317057&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4644317057&partnerID=8YFLogxK
U2 - 10.1143/JJAP.43.4424
DO - 10.1143/JJAP.43.4424
M3 - Article
AN - SCOPUS:4644317057
SN - 0021-4922
VL - 43
SP - 4424
EP - 4433
JO - Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
JF - Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
IS - 7 A
ER -