BAND SPECTRUM FOR AN ELECTRON ON A SIERPINSKI GASKET IN A MAGNETIC-FIELD

被引：19
|
作者：
GHEZ, JM
BELLISSARD, J
WANG, YY
RAMMAL, R
PANNETIER, B
机构：
[1] CNRS,CTR RECH TRES BASSES TEMP,F-38042 GRENOBLE,FRANCE
[2] UNIV TOULON & VAR,DEPT MATH,PHYMAT,F-83130 LA GARDE,FRANCE
[3] AT&T BELL LABS,MURRAY HILL,NJ 07974
[4] UNIV AIX MARSEILLE 1,F-13331 MARSEILLE 3,FRANCE
来源：
SOLID STATE COMMUNICATIONS | 1987年 / 64卷 / 10期
关键词：
CRYSTALS - Physical Properties;
D O I：
10.1016/0038-1098(87)90628-4
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
We consider a quantum charged particle on a fractal lattice given by a Sierpinski gasket, submitted to a uniform magnetic field. In a light binding approximation. Its band spectrum is numerically computed and exhibits a fractal structure. The groundstate energy is also compared to the superconductor transition curve measured for a Sierpinski lattice of superconducting material.
引用
收藏
页码：1291 / 1294
页数：4
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