RELATIVISTIC GREEN MATRIX-METHOD TO CALCULATE THE SURFACE-STATES IN A SEMI-INFINITE 3-DIMENSIONAL CRYSTAL

被引:1
作者
DHOORE, F
PHARISEAU, P
机构
[1] Seminarie voor Theoretische Vaste Stofen Lage Energie Kernfysica, Rijksuniversiteit Gent, B-9000 Gent, Krijgslaan 271/
来源
PHYSICA A | 1979年 / 95卷 / 03期
关键词
D O I
10.1016/0378-4371(79)90028-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we develop a relativistic Green matrix method in the Dirac formalism, which can be considered as ageneralization of the non relativistic Green function method of Scherer and Phariseau to calculate the surface states in a semi-infinite three-dimensional crystal. For simplicity, only the case of one atom in a unit cell is considered. The wave vectors for spin up and spin down are assumed to be different. We demostrate the existence of a two-dimensional relativistic bandstructure localized at the surface. We also discuss the possibility of obtaining the three-dimensional relativistic bulkbandstructure as a special case of our theory. © 1979.
引用
收藏
页码:487 / 504
页数:18
相关论文
共 26 条
[11]   CONTRIBUTION TO THE THEORY OF THE SURFACE ELECTRONIC STATES IN THE ONE-ELECTRON APPROXIMATION [J].
KOUTECKY, J .
PHYSICAL REVIEW, 1957, 108 (01) :13-18
[12]   SIMPLE MODEL FOR ELECTRONIC DENSITY OF STATES NEAR TRANSITION-METAL SURFACES - APPLICATION TO FERROMAGNETIC NI [J].
LEVIN, K ;
LIEBSCH, A ;
BENNEMANN, KH .
PHYSICAL REVIEW B, 1973, 7 (07) :3066-3073
[13]   IONIC COVALENT AND METALLIC SURFACE STATES OF A ONE-DIMENSIONAL MATHIEU POTENTIAL WITH ARBITRARY TERMINATION [J].
LEVINE, JD .
PHYSICAL REVIEW, 1968, 171 (03) :701-&
[14]  
Loucks T., 1967, AUGMENTED PLANE WAVE
[15]   RELATIVISTIC ELECTRONIC STRUCTURE IN CRYSTALS .I. THEORY [J].
LOUCKS, TL .
PHYSICAL REVIEW, 1965, 139 (4A) :1333-&
[16]   The quantum mechanics of electrons in crystals [J].
Morse, PM .
PHYSICAL REVIEW, 1930, 35 (11) :1310-1324
[17]   RELATIVISTIC THEORY FOR ENERGY-BAND CALCULATION [J].
ONODERA, Y ;
OKAZAKI, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1966, 21 (07) :1273-&
[18]   SUBSURFACE STATES IN ONE-DIMENSIONAL CRYSTALS [J].
PHARISEAU, P .
PHYSICA, 1960, 26 (12) :1192-1200
[19]  
Rose ME., 1961, RELATIVISTIC ELECT T
[20]   ON THEORY OF SURFACE STATES IN 3-DIMENSIONAL CRYSTALS [J].
SCHERER, M ;
PHARISEAU, P .
PHYSICA STATUS SOLIDI, 1969, 32 (02) :563-+