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yankai131

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[ Last edited by yankai131 on 2010-5-17 at 14:04 ]
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yankai131

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luxia0210

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qasd(½ð±Ò+3):лл 2010-05-17 23:43:27
The Coulomb repulsion is characterized by a spherically averaged Hubbard parameter
U describing the energy increase for placing an extra electron on a particular site, U = E(dn+1) + E(dn−1) − 2E(dn), and a parameter J representing the screened exchange energy.
While U depends on the spatial extent of the wavefunctions and on screening, J is an
approximation of the Stoner exchange parameter and almost constant, ∼1 eV [11]. The
Mott¨CHubbard Hamiltonian includes energy contributions already accounted for by the DFT
functional. To correct for this ¡®double-counting¡¯, equation (1) is evaluated in the limit of integer
occupancies and subtracted from the DFT energy to obtain the spin-polarizedDFT+U energy
functional [9, 11]. A simple functional is obtained after some straightforward algebra [9]
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luxia0210

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gavinliu7390(½ð±Ò+1):лл½»Á÷£¡ 2010-05-18 13:13:44
J. Phys.: Condens. Matter 15 (2003) 979¨C996
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