TITLE:
Analytical Study of Band Structure of Material Using Relativistic Concept
AUTHORS:
E. I. Ugwu, M. I. Echi
KEYWORDS:
Bandstructure; Hamiltonian; Dirac Equation; Spin-Orbit Eigenfunction; Relativistic Concept; Spin-Degeneracy; Wavefunction; Correction-Term
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.9,
August
30,
2013
ABSTRACT: In this paper, we present the study of band structure relativistically. Here, Dirac equation is formulated from Hamilto-nian in which the formulation is found to contain a correction term known as spin-orbit coupling given as
that modifies the non-relativistic expression for the same formulation. This term leads to double spin-degeneracy within the first Brillioun zone which is a concept that is not found in other method of study of band structure of material.