Three-dimensional Flat-Band Models(Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties)
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概要
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Typical three-dimensional flat-band models of tight-binding electronic systems on cubic and diamond lattices are presented to demonstrate the wide applicability of the method proposed by Nishino et al. [J. Phys. Soc. Jpn. 72 (2003) 2015]. Both forms of the model are realistic examples of three-dimensional flat-band models and are different from those discussed by Mielke and Tasaki [Commun. Math. Phys. 158 (1993) 341]. They can be applied even to the ultimate case in which all of the dispersion curves are flat even though many parameters do not vanish. According to the main idea of finding a localized eigenfunction in the periodic system, we derive some conditions between transfer integrals under which flat bands can exist. We expect these two examples to demonstrate the realistic flat-band models in three dimensions, as the Kagome lattice does in two dimensions.
- 一般社団法人日本物理学会の論文
- 2005-01-15
著者
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Goda Masaki
Faculty Of Engeneering Niigata University
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Nishino Shinya
Graduate School Of Science And Technology Niigata University
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