A relativistic green matrix method to calculate the surface states in a semi-infinite three-dimensional crystal

✍ Scribed by F. Dhoore; P. Phariseau

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 835 KB
• Volume: 95
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(79)90028-1

✦ Synopsis

In this paper, we develop a relativistic Green matrix method in the Dirac formalism, which can be considered as a generalization of the nonrelativistic 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 demonstrate the existence of a two-dimensional relativistic bandstructure localized at the surface. We also discuss the possibility of obtaining the threedimensional relativistic bulkbandstructure as a special case of our theory.