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xiaojie7783

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yzcluster

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3Â¥2009-11-27 10:58:39
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hzy900211

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Originally posted by yzcluster at 2009-11-27 10:58:
ËÑË÷¡°Ç¿¹ØÁª¡±¡¢"Hubbard model" ¾ÍÐÐÁË¡£

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4Â¥2009-11-27 21:44:53
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bingmou

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Originally posted by yzcluster at 2009-11-27 10:58:
ËÑË÷¡°Ç¿¹ØÁª¡±¡¢"Hubbard model" ¾ÍÐÐÁË¡£

¶à˵һ¾ä£¬¼òµ¥µÄ˵£¬UÊÇָͬһ¸öÔ­×Ó¹ìµÀÉÏÁ½¸ö×ÔÐýÏà·´Ô­×ӵĿâÂ×ÅųâÄÜ£¬ÌåÏÖÁËÕ­´øµç×Ó¼äµÄ¹ØÁª×÷Óá£Ò²ÊÇ´«Í³µ¥µç×ÓÄÜ´øÂÛ¡°ÓÀÔ¶µÄÍ´¡±£¬ºÇºÇ

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5Â¥2009-12-05 16:17:06
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identation

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qasd(½ð±Ò+3,VIP+0):xiexie~ 12-7 19:55
¹ØÓÚΪʲôҪÒýÈë+UµÄ¼ÆË㣬ABINITÍøÕ¾ÉÏÓÐ˵Ã÷
The standard Local Density Approximation (LDA), where the exchange and correlation energy is fit to homogenous electron gas results, is a functional that works well for a vast number of compounds. But, for some crystals, the interactions between electrons are so important that they cannot be represented by the LDA alone. Generally, these highly correlated materials contain rare-earth metals or transition metals, which have partially filled d or f bands and thus localized electrons.

The LDA tends to delocalize electrons over the crystal, and each electron feels an average of the Coulombic potential. For highly correlated materials, the large Coulombic repulsion between localized electrons might not be well represented by a functional such as the LDA. A way to avoid this problem is to add a Hubbard-like, localised term, to the LDA density functional. This approach is known as LDA+U. In the actual implementation, we separate localized d or f electrons, on which the Hubbard term will act, from the delocalized ones (s and p electrons). The latter are correctly described by the usual LDA calculation. In order to avoid the double counting of the correlation part for localized electrons (already included in the LDA, although in an average manner), another term - called the double-counting correction - is subtracted from the Hamiltonian.

In Abinit, two double-counting corrections are currently implemented :

-The Full localized limit (FLL) (see A. Lichtenstein et al PRB 52, 5467 (1995))

-The Around Mean Field (AMF) (see M. T. Czyzyk and G. A. Sawatzky PRB 49, 14211 (1994))

For some systems, the result might depend on the choice of the double-counting method. However, the two methods generally give similar results
꿅᣼http://www.abinit.org/documentat ... html/?searchterm=+U
6Â¥2009-12-06 11:43:46
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hlshi

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qasd(½ð±Ò+2,VIP+0):xiexie~ 12-7 19:55
¿ÉÒԲο¼×ÛÊöÐÔÎÄÏ×  J. Phys.: Condens. Matter 9 (1997) 767-808
7Â¥2009-12-06 15:31:03
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