标题： 广义Weyl半金属的轴子量子临界性 显示英文标题

标题： Axionic quantum criticality of generalized Weyl semimetals

摘要： 我们为$d$维相互作用的节点半金属建立一个场论描述，其色散在倒易空间中几个孤立点附近沿$d_L$和$d_M$相互正交的方向分别以动量的一次方和$n$次方进行缩放，其中$d_L+d_M=d$，位于各向同性绝缘体的边缘，由$N_b$组分的玻色型序参量场描述。 由此产生的重整化群（RG）过程，专门用于捕捉相关的量子临界现象，由一个“小”参数$\epsilon=2-d_M$和$1/N_f$控制，其中$N_f$是当结合$d_L=1$时相同的费米子副本数（味数）。 当应用于三维相互作用的一般外尔半金属（$d_L=1$和$d_M=2$），其特征是阿贝尔单极子电荷$n>1$，位于轴子绝缘体（$N_b=2$）的边缘，一种一阶RG分析表明了其下量子相变的高斯性质，在此临界指数取平均场值。 传统的场论RG分析对于简单的外尔半金属（$n=1$、$d_L=3$和$d_M=0$）得出相同的结果。 因此，出现的边缘费米液体在测量的中间尺度上仅对物理可观测量表现出对数修正。 显示英文摘要

摘要： We formulate a field-theoretic description for $d$-dimensional interacting nodal semimetals, featuring dispersion that scales with the linear and $n$th power of momentum along $d_L$ and $d_M$ mutually orthogonal directions around a few isolated points in the reciprocal space, respectively, with $d_L+d_M=d$, and residing at the brink of isotropic insulation, described by $N_b$-component bosonic order parameter fields. The resulting renormalization group (RG) procedure, tailored to capture the associated quantum critical phenomena, is controlled by a ``small" parameter $\epsilon=2-d_M$ and $1/N_f$, where $N_f$ is the number of identical fermion copies (flavor number) when in conjunction $d_L=1$. When applied to three-dimensional interacting general Weyl semimetals ($d_L=1$ and $d_M=2$), characterized by the Abelian monopole charge $n>1$, living at the shore of the axionic insulation ($N_b=2$), a leading-order RG analysis suggests the Gaussian nature of the underlying quantum phase transition, around which the critical exponents assume mean-field values. A traditional field-theoretic RG analysis yields the same outcomes for simple Weyl semimetals ($n=1$, $d_L=3$, and $d_M=0$). Consequently, emergent marginal Fermi liquids showcase only logarithmic corrections to physical observables at intermediate scales of measurements.