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

F. Dhoore and P. Phariseau

Physica A: Statistical Mechanics and its Applications, 1979, vol. 95, issue 3, 487-504

Abstract: 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.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:95:y:1979:i:3:p:487-504

DOI: 10.1016/0378-4371(79)90028-1

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