arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1307.0004cond-mat.str-elhep-th
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量子临界金属Wilson理论中的非费米液体不动点

Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals

A. Liam Fitzpatrick, Shamit Kachru, Jared Kaplan, S. Raghu

摘要:

研究了连续量子临界点附近无无序金属的问题。我们从赫兹和米利斯的标准范式出发,平等地对待费米子和玻色子(即序参量场)。我们建立了一个威尔逊有效场论,它只整合了高能玻色子和费米子模。低于上临界尺寸的理论(d=3空间维度),我们发现新的固定点,其中玻色子描述的威尔逊-费舍尔固定点,并耦合到非费米液态金属。我们描述了微妙的重整化群流的四费米相互作用,这可以克服在一个受控的大N限制。在此极限下,我们发现该理论不存在超导不稳定性。

英文摘要:

We study the problem of disorder-free metals near a continuous quantum critical point. We depart from the standard paradigm of Hertz and Millis, and treat both fermions and bosons i.e. order parameter fields) on equal footing. We construct a Wilsonian effective field theory that integrates out only high energy boson and fermion modes. Below the upper critical dimension of the theory (d=3 spatial dimensions), we find new fixed points in which the bosons are described by the Wilson-Fisher fixed point and are coupled to a non-Fermi liquid metal. We describe subtleties with the renormalization group flow of four-Fermi interactions, which can be surmounted in a controlled large N limit. In this limit, we find that the theory has no superconducting instability.

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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