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arXiv 1003.4487hep-th
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全息超导体的唯象模型与霍尔电流

Phenomenological Models of Holographic Superconductors and Hall currents

Francesco Aprile, Sebastian Franco, Diego Rodriguez-Gomez, Jorge G. Russo

摘要:

本文研究了体理论中性标量场的四个任意函数参数化的全息超导的一般模型。该模型可以容纳真实超导体的一些特征,如任意的临界温度和临界指数在一定范围内,也许杂质,边界或厚度效应。我们发现一般模型的临界指数的解析表达式,并表明它们满足Rushbrooke恒等式。模型的一个重要子类表现出二阶相变。比热的研究表明,一般模型也可以描述全息超导体经历的第一,第二和第三(或更高)阶相变。我们讨论了如何小变形的HHH模型导致的电导率的共振峰的出现,这变得越来越窄,随着温度逐渐降低,而不需要调谐质量的标量接近Breitenlohner-Freedman绑定。最后,我们研究了在没有磁场的情况下产生霍尔效应的广义“theta项”的包含情况。

英文摘要:

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical temperatures and critical exponents in a certain range, and perhaps impurities, boundary or thickness effects. We find analytical expressions for the critical exponents of the general model and show that they satisfy the Rushbrooke identity. An important subclass of models exhibits second order phase transitions. A study of the specific heat shows that general models can also describe holographic superconductors undergoing first, second and third (or higher) order phase transitions. We discuss how small deformations of the HHH model lead to the appearance of resonance peaks in the conductivity, which become narrower as the temperature is gradually decreased, without the need for tuning mass of the scalar to be close to the Breitenlohner-Freedman bound. Finally, we investigate the inclusion of a generalized "theta term" producing Hall effect without magnetic field.

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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