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arXiv 1302.1791cond-mat.supr-concond-mat.str-el
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自旋单态超流体中的有效相互作用和涨落效应

Effective interactions and fluctuation effects in spin-singlet superfluids

Andreas Eberlein, Walter Metzner

摘要:

我们推导并计算了自旋单重态超流体中有效相互作用、自能和能隙函数的单圈泛函流方程。流是由费米子频率截止,这是由一个外部配对场补充治疗与戈德斯通玻色子的分歧。参数化的奇异动量和频率依赖的有效相互作用,Nambu相互作用顶点分解的电荷,磁性,正常和异常配对通道。单回路流精确地解决了超流性的简化(平均场)模型,并捕获了重要的波动效应。电荷守恒的沃德恒等式通常是违反的,但可以通过投影流来加强。将一般形式应用于二维吸引哈伯德模型,得到了弱和中等裸相互作用下有效相互作用的动量和频率依赖性的详细结果.如预期的那样,间隙通过波动减小,在较弱的相互作用下减小更大。

英文摘要:

We derive and evaluate one-loop functional flow equations for the effective interactions, self-energy and gap function in spin-singlet superfluids. The flow is generated by a fermionic frequency cutoff, which is supplemented by an external pairing field to treat divergencies associated with the Goldstone boson. To parametrize the singular momentum and frequency dependences of the effective interactions, the Nambu interaction vertex is decomposed in charge, magnetic, and normal and anomalous pairing channels. The one-loop flow solves reduced (mean-field) models for superfluidity exactly, and captures also important fluctuation effects. The Ward identity from charge conservation is generally violated, but can be enforced by projecting the flow. Applying the general formalism to the two-dimensional attractive Hubbard model, we obtain detailed results on the momentum and frequency dependences of the effective interactions for weak and moderate bare interactions. The gap is reduced by fluctuations, with a stronger reduction at weaker interactions, as expected.

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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