Lattice Green's function for the diamond lattice

被引:2
作者
Hijjawi, R. S. [1 ]
机构
[1] Mutah Univ, Dept Phys, Al Karak, Jordan
关键词
diamond lattice; impurity; Green's function;
D O I
10.1007/s10773-005-9012-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An expression for the Green's function (GF) of diamond lattice is evaluated analytically and numerically for a single impurity interacting with the first nearest-neighboring host atoms. The density of states (DOS), phase shift and scattering cross-section are expressed in terms of complete elliptic integrals of the first kind.
引用
收藏
页码:135 / 146
页数:12
相关论文
共 16 条
[1]  
Doniach S, 1974, GREENS FUNCTIONS SOL
[2]  
ECONOMOU EN, 1983, GREEN FUNCTION QUANT
[3]  
ERDELYI A, 1963, HIGHER TRANSCENDENTA, V1
[4]  
Gradshteyn I. S., 2007, Tables of Integrals, Series, and Products, V7
[5]   STAIRCASE POLYGONS, ELLIPTIC INTEGRALS, HEUN FUNCTIONS, AND LATTICE GREEN-FUNCTIONS [J].
GUTTMANN, AJ ;
PRELLBERG, T .
PHYSICAL REVIEW E, 1993, 47 (04) :R2233-R2236
[6]   Lattice Green's function in the general Glasser case [J].
Hijjawi, RS ;
Khalifeh, JM .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2002, 41 (09) :1769-1780
[7]  
HIJJAWI RS, 2004, J THEORETICAL PHYS, V43, P1388
[8]   LATTICE GREENS FUNCTION FOR FACE-CENTERED CUBIC LATTICE [J].
INOUE, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (06) :704-707
[9]   RANDOM-WALKS ON DIAMOND AND HEXAGONAL CLOSE PACKED LATTICES [J].
ISHIOKA, S ;
KOIWA, M .
PHILOSOPHICAL MAGAZINE A-PHYSICS OF CONDENSED MATTER STRUCTURE DEFECTS AND MECHANICAL PROPERTIES, 1978, 37 (04) :517-533
[10]  
JOYCE CS, 1973, T ROYAL SOC, V273, P583