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arXiv 2202.11232cond-mat.supr-con
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化学势对玻色-费米子超导模型凝聚能的影响

Chemical potential influence on the condensation energy from a Boson-Fermion model of superconductivity

I. Chávez, P. Salas, O. A. Rodríguez, M. A. Solís, M. de Llano

摘要:

本文报道了温度依赖的化学势对由玻色子组成的三元玻色子-费米子模型的凝聚能的影响,该模型由非束缚的费米子电子/空穴和玻色子两电子两空穴的库珀对组成。当同时求解混合物的方程组时,(两个类间隙方程,一个用于电子对,另一个用于空穴对,加上粒子数守恒方程)(BCS制度),由此产生的超导化学势显示出从其正常状态对应物的位移,这与温度相关的超导能隙的大小和超导体的费米能有关。正如van der Marel在20世纪90年代早期所预言的那样,我们还发现超导化学势在临界温度$T_c$处有一个显著的扭结,这反过来又与正常态化学势相吻合。一阶导数的不连续性直接影响比热跃的大小。我们表明,超导和正常状态的化学势之间的差异是相同的数量级的相应的混合物的热力学势之间的差异,因此,必须占在冷凝能的计算,而不是忽略它是经常做的。这里得到的凝聚能与元素超导体的实验数据非常吻合。

英文摘要:

Influence of the temperature dependent chemical potential on the condensation energy from a ternary Boson-Fermion model of superconductivity is reported, it consist of unbound electrons/holes which are fermions plus two-electron and two-hole Cooper pairs which are bosons. When solving simultaneously the set of equations of the mixture (two gap-like equations, one for electron pairs and another one for hole pairs, plus the particle number conservation equation) within the weak-coupling (BCS regime), the resulting superconducting chemical potential shows a shift from its normal state counterpart, which is related to both the magnitude of the temperature-dependent superconducting gap and to the Fermi energy of the superconductor. As predicted by van der Marel in the early 1990s we also find that the superconducting chemical potential has a prominent kink at critical temperature $T_c$, which in turn coincides with the normal state chemical potential. Also there is discontinuity in its first derivative which directly affects the magnitude in the specific heat jump. We show that the difference between the superconducting and normal state chemical potentials is of the same order of magnitude as the corresponding difference between the thermodynamic potentials for the mixture, and must therefore be accounted for in the condensation energy calculations instead of ignoring it as is done often. The condensation energy obtained here shows very good agreement with experimental data for elemental superconductors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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