Lattice vibration on pseudo-lattices

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• 作者：Koh Wada ; Yuki Kabasawa ; Akiyoshi Kawada
• 刊名：Physica B
• 出版年：1996
• 出版时间：1 April 1996
• 年：1996
• 卷：219-220
• 期：Complete
• 页码：414-416
• 全文大小：171 K

文摘

Vibrational properties on pseudo-lattices called diatomic Bethe lattices and diatomic spherical Cayley tree lattices are studied. First, the squared frequency density and normal modes are calculated by the Green's function method for the Bethe lattice. Next, the frequency spectrum and eigenmodes of the spherical Cayley tree lattice in the large limit size are investigated to compare with those of the Bethe lattice. The vibrational modes on the Bethe lattice are shown to be only spherically symmetric and the minor modes of the spherical Cayley tree lattice in the large limit size. Comparison of vibrational properties of the previously studied monoatomic pseudo-lattices with those of the present ones with two kinds of masses shows a remarkable similarity in mathematical structure through a dispersion relation.