论文标题
当前的代数方法2D手性金属
Current Algebra Approach to 2d Chiral Metals
论文作者
论文摘要
我们重新诠释了宝贝和Fisher的免费2D手性金属[Phys。莱特牧师。 76，2782（1996）]作为手性$ u（n）$ wess-zumino-witten型号，$ k = 1 $。在这里，$ u（n）$对称性将$ n \ rightArrow \ infty $ $ $ $低能量激发有关手性费米表面。我们通过将水平作为正整数$ k> 1 $来获得免费手性金属的非Fermi液体概括，该金属可以维持$ k = 1 $理论的$ u（n）$对称性。我们计算$ u（1）$数字密度和当前运算符的两点相关功能，这些理论中的一般$ k $。我们发现$ k $可以整体重新缩放这些相关功能的幅度。这种结构说明了其他，索尔格伦和Senthil的ERSATZ FERMI液体建议[Phys。修订版X 11，021005（2021）]。
We reinterpret Balents and Fisher's free 2d chiral metal [Phys. Rev. Lett. 76, 2782 (1996)] as a chiral $U(N)$ Wess-Zumino-Witten model at level $k = 1$. Here, the $U(N)$ symmetry relates the $N \rightarrow \infty$ low-energy excitations about the chiral Fermi surface. We obtain non-Fermi liquid generalizations of the free chiral metal that maintain the $U(N)$ symmetry of the $k=1$ theory by taking the level to be a positive integer $k>1$. We calculate two-point correlation functions of the $U(1)$ number density and current operators in these theories for general $k$. We find $k$ to provide an overall rescaling of the amplitude of these correlation functions. This construction illustrates the ersatz Fermi liquid proposal of Else, Thorgren, and Senthil [Phys. Rev. X 11, 021005 (2021)].
