arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1804.01713cond-mat.str-elhep-th
收藏

二维van Hove奇点的Wilsonian有效场论

Wilsonian effective field theory of 2D van Hove singularities

Anton Kapustin, Tristan McKinney, Ira Z. Rothstein

摘要:

我们研究了范霍夫奇点存在下的短程相互作用的二维费米子。结果表明,该系统可以一贯描述的有效场论的费米面被细分为区域所定义的因式分解尺度,并且该理论是renormalizable在这个意义上说,所有的counterterterms都很好地定义在IR限制。该理论有一个不寻常的特点,即耦合的重整化群方程与重正化标度有明确的依赖关系,就像威尔逊线理论一样。在相反的情况下,一个圆形的费米面,有多个边缘的相互作用与非平凡的RG流。库珀不稳定性仍然是最强的BCS通道。我们还表明,准粒子宽度的边缘费米液体的情况下是一个强大的后果的范霍夫奇点。我们的结果是普遍的意义上说,他们不依赖于详细的费米面远离奇点的属性。

英文摘要:

We study 2D fermions with a short-range interaction in the presence of a van Hove singularity. It is shown that this system can be consistently described by an effective field theory whose Fermi surface is subdivided into regions as defined by a factorization scale, and that the theory is renormalizable in the sense that all of the counterterms are well defined in the IR limit. The theory has the unusual feature that the renormalization group equation for the coupling has an explicit dependence on the renormalization scale, much as in theories of Wilson lines. In contrast to the case of a round Fermi surface, there are multiple marginal interactions with nontrivial RG flow. The Cooper instability remains strongest in the BCS channel. We also show that the marginal Fermi liquid scenario for the quasiparticle width is a robust consequence of the van Hove singularity. Our results are universal in the sense that they do not depend on the detailed properties of the Fermi surface away from the singularity.

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。

↑