Analytical Study of Band Structure of Material Using Relativistic Concept

E. I. Ugwu, M. I. Echi

Department of Industrial Physics, Ebonyi State University, Abakaliki, Nigeria.
Department of Physics, University of Agriculture, Makurdi, Nigeria.

DOI: 10.4236/am.2013.49173                

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.

Keywords

Bandstructure; Hamiltonian; Dirac Equation; Spin-Orbit Eigenfunction; Relativistic Concept; Spin-Degeneracy; Wavefunction; Correction-Term

Conflicts of Interest

The authors declare no conflicts of interest.

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