A new algorithm for accurate evaluation of the generalized Bloch-Gruneisen function and its applications to MgB2 superconductor

作者：Mamedov B A^*; Askerov I M

来源：Physics Letters A, 2007, 362(4): 324-326.

DOI：10.1016/j.physleta.2006.10.020

• Bloch-Gruneisen theory
• superconductor
• electrical resistivity
• binomial coefficients

The objective of this Letter is to provide an efficient and reliable analytical procedure for the generalized Bloch-Gruneisen function with the Debye temperatures for the wide temperature range using the binomial expansion theorems. As will be seen, the present formulation yields compact closed-form expressions which enable the ready calculation of Bloch-Gruneisen function for integer and noninteger values of parameter m. The proposed procedure guarantees the reliable application of the contribution of electron-photon interaction to the electrical resistivity of metals. Finally, the algorithm is used to simulate the variation of the resistivity and thermal conductivity against temperature sintered polycrystalline MgB2). Furthermore, the comparison of the method with numerical calculations demonstrates the applicability and accuracy of the method.

• 出版日期2007-3-5