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arXiv 1608.04653hep-thcond-mat.str-el
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Q晶格全息超导体中的Homes定律

Homes' law in Holographic Superconductor with Q-lattices

Keun-Young Kim, Chao Niu

摘要:

霍姆斯定律,$ρ_s = C σ_{\mathrm{DC}} T_c$,是各种超导体满足的经验定律,具有与材料无关的通用常数$C$,其中$ρ_{s}$是零温度下的超流体密度,$T_c$是临界温度,而$σ_{\mathrm{DC}}$是接近$T_c$的正常状态下的直流电导率。我们研究了具有Q晶格的全息超导体中的Homes定律,发现在动量弛豫较强的金属-绝缘体过渡边界附近的绝缘相中,某些参数区域可以实现Homes定律。在计算超流密度时,我们采用了两种方法:一种是与无限大的直流电导率有关的方法,另一种是与磁穿透深度有关的方法。在有限动量弛豫的情况下,两者产生相同的结果,而在没有动量弛豫的情况下,只有后者正确地给出了超流密度,因为前者由于平移不变性而具有来自无限DC电导率的虚假贡献。

英文摘要:

Homes' law, $ρ_s = C σ_{\mathrm{DC}} T_c$, is an empirical law satisfied by various superconductors with a material independent universal constant $C$, where $ρ_{s}$ is the superfluid density at zero temperature, $T_c$ is the critical temperature, and $σ_{\mathrm{DC}}$ is the electric DC conductivity in the normal state close to $T_c$. We study Homes' law in holographic superconductor with Q-lattices and find that Homes' law is realized for some parameter regime in insulating phase near the metal-insulator transition boundary, where momentum relaxation is strong. In computing the superfluid density, we employ two methods: one is related to the infinite DC conductivity and the other is related to the magnetic penetration depth. With finite momentum relaxation both yield the same results, while without momentum relaxation only the latter gives the superfluid density correctly because the former has a spurious contribution from the infinite DC conductivity due to translation invariance.

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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