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arXiv 1508.00529cond-mat.supr-concond-mat.str-el
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最稀超导体中的声子机制:n型SrTiO3

Phonon mechanism in the most dilute superconductor: n-type SrTiO3

Lev P. Gor'kov

摘要:

掺杂SrTiO 3的超导电性被证明是一个特殊的情况下,更广泛的概念的非绝热配对介导的频率相当或更大的费米能量的声子。我们认为,对于超过迁移率边缘的载流子浓度,掺杂SrTiO 3的超导电性是由电子与几个纵向(LO)光学极性声子的相互作用介导的。SrTiO 3的电子光谱在低温下由三个连续掺杂的导带组成。每个能带都对库珀不稳定性有贡献,并在能谱中显示出超导能隙。下面给出的理论预测了最大值依赖于Tc(n)-转变温度对n的依赖性,n是由于以下机制而产生的电子数。电子掺杂增加了费米面的态密度,Tc也随之增大。同时,屏蔽部分积累的电荷往往会降低LO声子模式中固有的电场的幅度,并且在更大的浓度下,电子和LO声子之间的相互作用的矩阵元素减少。这两种趋势之间的折衷导致Tc(n)依赖性的最大值,为Xiao Lin等人[Phys. Rev. Lett. 112,207002(2014)]。在第三个能带中达到最大值后,超导转变最终减小,使Tc(n)圆顶变圆,Tc(n)中的三个最大值随着电子填充连续的能带而连续出现伴随的超导间隙。这是由于LO光学声子配对机制的属性。更一般地说,该机制开辟了提高过渡金属氧化物和其他极性晶体中超导转变温度的前景。

英文摘要:

Superconductivity of doped SrTiO3 is proven to be a particular case of the broader concept of the non-adiabatic pairing mediated by phonons with frequency comparable or larger the Fermi energy. We argue that, for carrier concentrations exceeding that of the mobility edge, the superconductivity of doped SrTiO3 is mediated by interaction of electrons with several longitudinal (LO) optical polar phonons. The electronic spectrum of SrTiO3 consists at low temperatures of three conduction bands which are successively doped. Each band contributes to the Cooper instability and exhibits a superconducting gap in the energy spectrum. The theory presented below predicts maxima in dependence of Tc(n)-the transition temperature on n, the number of electrons owing to the following mechanism. Doping by electrons increases density of states at the Fermi surface and Tc initially grows up. At the same time, screening on the part of accumulating charges tends to reduce amplitude of the electrical fields inherent in LO phonon modes and at larger concentrations the matrix element of interaction between electrons and LO phonons decreases. The compromise between the two tendencies leads to maxima in the Tc(n)-dependence providing interpretation to one of the most intriguing experimental findings in Xiao Lin et al [Phys. Rev. Lett. 112, 207002 (2014)]. Having reached a maximum in the third band, the superconducting transition finally decreases, rounding out the Tc(n)-dome, the three maxima in Tc(n)with accompanying superconducting gaps emerging consecutively as electrons fill successive bands. This arises from attributes of the LO optical phonon pairing mechanism. More generally, the mechanism opens prospect of increasing temperature of the superconducting transition in transition-metals oxides and other polar crystals.

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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