论文标题
费米表面对称质量产生
Fermi Surface Symmetric Mass Generation
论文作者
论文摘要
对称质量产生是一种新型机制，可以通过非扰动相互作用而不会产生任何费米昂双线性凝结，从而使无间隙的费米子具有质量间隙。先前对对称质量产生的研究仅限于dirac/weyl/majorana fermions，在自由费米的限制中为零。在这项工作中，我们将对称质量生成的概念概括为有限的费米体积的费米液体，并讨论如何通过相互作用而不会破坏U（1）循环组对称性或开发拓扑命令来散布费米表面。当几个费米表面共同取消费米表面异常时，我们提供了（1+1）d和（2+1）d fermi液体系统中费米表面对称质量产生的示例。但是，在这些情况下，U（1）循环组对称性仍然足够限制，以排除所有可能的费米昂双线性裂纹项，因此非扰动相互作用机制是隔离费米表面的唯一方法。这种对称的费米表面重建与传统的破坏对称性机制相反，以隔离费米表面。作为侧产品，我们的模型通过利用晶状体翻译对称对称性作为出现的u（1）对称对称性，为（1+1）d u（1）D U（1）对称性手性手法模型（例如3-4-5-0模型）提供了原始的1D晶格正则化。这为在自己的尺寸中有效地模拟手性费米的数值模拟打开了机会，而无需在域壁费里构建下引入镜像费米子。
Symmetric mass generation is a novel mechanism to give gapless fermions a mass gap by non-perturbative interactions without generating any fermion bilinear condensation. The previous studies of symmetric mass generation have been limited to Dirac/Weyl/Majorana fermions with zero Fermi volume in the free fermion limit. In this work, we generalize the concept of symmetric mass generation to Fermi liquid with a finite Fermi volume and discuss how to gap out the Fermi surfaces by interactions without breaking the U(1) loop group symmetry or developing topological orders. We provide examples of Fermi surface symmetric mass generation in both (1+1)D and (2+1)D Fermi liquid systems when several Fermi surfaces together cancel the Fermi surface anomaly. However, the U(1) loop group symmetry in these cases is still restrictive enough to rule out all possible fermion bilinear gapping terms, such that a non-perturbative interaction mechanism is the only way to gap out the Fermi surfaces. This symmetric Fermi surface reconstruction is in contrast to the conventional symmetry-breaking mechanism to gap the Fermi surfaces. As a side product, our model provides a pristine 1D lattice regularization for the (1+1)D U(1) symmetric chiral fermion model (e.g., the 3-4-5-0 model) by utilizing a lattice translation symmetry as an emergent U(1) symmetry at low energy. This opens up the opportunity for efficient numerical simulations of chiral fermions in their own dimensions without introducing mirror fermions under the domain wall fermion construction.
