Thermal conductivity and modification the formula of the hole (Electron)‎-phonon scattering : application to antimony at low temperature

Abstract EN

Using Callaway’s Model, thermal conductivity of antimony in the temperature range between (0.4-2.4)K was calculated.

Specialized present study to modification the formula of hole(electron)-phonon scattering relaxation rate by using phonon wave vector which is located in the formula of the hole(electron)-phonon relaxation rate, instead of Debye dispersion relation ( q =w /u ).

In addition to scattering the phonons by holes(electrons) ,the boundary scattering, point defects and three-phonon scattering (normal & umklapp) were taken into account to find the total relaxation rate.

Good agreement between theory and experiment is obtained in temperature rang (0.4-2.4)K.