Electro-kinetic wave spectrum in group-IV semiconductors: Effect of streaming carriers

Abstract

The implanted ions in a group-IV semiconductor agglomerate to form nano-clusters (NCs) and some of them acquire negative charge which change the balance between electron-hole densities in an otherwise compensated semiconductor. An analytical study has been made on wave spectrum of electro-kinetic (EK) waves propagating through such medium. Using multi-fluid analysis and Maxwell’s equations, a linear dispersion relation for the EK wave in such medium has been derived. This dispersion relation is used to study slow electro-kinetic wave phenomena and resultant instabilities numerically. The drift velocities of electrons and holes are found to be responsible for converting two aperiodic modes into periodic ones. They are also found helpful in reducing the absorption of all the four possible EK modes. It is found that choosing the proper values of applied electric field and wave number one may optimize the amplification coefficients of propagating modes.