Machine learning on the electron-boson mechanism in superconductors

Li Wan-Ju; Hsu Ming-Chien; Huang Shin-Ming

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Machine learning on the electron-boson mechanism in superconductors

机译：超导体中电子-玻色子机制的机器学习

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To unravel pairing mechanism of a superconductor from limited, indirect experimental data is always a difficult task. It is common but sometimes dubious to explain by a theoretical model with some tuning parameters. In this work, we propose that the machine learning might infer pairing mechanism from observables like superconducting gap functions. For superconductivity within the Migdal-Eliashberg theory, we perform supervised learning between superconducting gap functions and electron-boson spectral functions. For simple spectral functions, the neural network can easily capture the correspondence and predict perfectly. For complex spectral functions, an autoencoder is utilized to reduce the complexity of the spectral functions to be compatible to that of the gap functions. After this complexity-reduction process, relevant information of the spectral function is extracted and good performance restores. Our proposed method can extract relevant information from data and can be applied to general function-to-function mappings with asymmetric complexities either in physics or other fields.

机译：从有限的间接实验数据中揭示超导体的配对机制始终是一项艰巨的任务。用一些调谐参数的理论模型来解释是很常见的，但有时是可疑的。在这项工作中，我们提出机器学习可以从超导间隙函数等可观察对象中推断配对机制。对于Migdal-Eliashberg理论中的超导性，我们在超导间隙函数和电子-玻色子光谱函数之间进行监督学习。对于简单的谱函数，神经网络可以很容易地捕获对应关系并完美地预测。对于复杂的光谱函数，使用自编码器来降低光谱函数的复杂性，使其与间隙函数的复杂性兼容。经过这个降低复杂性的过程，提取光谱函数的相关信息，并恢复良好的性能。我们提出的方法可以从数据中提取相关信息，并可以应用于物理或其他领域中具有不对称复杂性的一般函数到函数映射。

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来源
《new journal of physics》 |2020年第12期|共17页
作者
Li Wan-Ju; Hsu Ming-Chien; Huang Shin-Ming;
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作者单位

Natl Sun Yat Sen Univ;

Acad Sinica;

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原文格式 PDF
正文语种英语
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关键词
machine learning; superconductivity; autoencoder; TRANSITION-TEMPERATURE; LAYERED SUPERCONDUCTOR; ELIASHBERG EQUATIONS; LATTICE-VIBRATIONS; PREDICTION; SPECTRUM; PRICES; TC;

机译：机器学习;超导性;自动编码器;转变温度;层状超导体;埃利亚什伯格方程;晶格振动;预测;光谱;价格;TC型;

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Machine learning on the electron-boson mechanism in superconductors

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