Electron Contribution to the Temperature Dependence of the Elastic Constants of Cubic Metals. I. Normal Metals

摘要: By direct calculation of the electron energy a metal crystal as function elastic strain and temperature, it is shown that constants can exhibit ${T}^{2}$ dependence at low temperatures. This temperature arises from displacement Fermi surface during simultaneous transfer electrons across Brillouin zone boundaries. The results for face-centered cubic body-centered metals are obtained in terms energies symmetry points density states its first second derivatives with respect to energy. magnitude algebraic sign depend critically on shape distribution. It also form contribution directly analogous derived thermal variation paramagnetic susceptibility