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arXiv 2602.14530cond-mat.mes-hall
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宇称不守恒量作为晶格威耳 fermions 中手性异常的信号

Universal observable as a signal of chiral anomaly in lattice Weyl fermions

Graduate School of China Academy of Engineering Physics(中国工程物理研究院研究生院)

Shi Chen, Yu Chen

AI总结:

研究通过引入旋转对称的可观测量$\varkappa$,揭示晶格威耳 fermions 中手性异常的通用特性及其与磁场和电场方向的关系。

摘要:

阿德勒-贝尔-杰克iew 手性异常被证明在超过中等磁场的晶格威耳 fermions 系统中仍保持洛伦兹不变性,$\partial_μJ^μ_5 \propto \mathbf{E} \cdot \mathbf{B}$。我们展示纵向和霍尔磁导率分解为由手性异常主导的通用部分和依赖费米能级态密度的非通用部分的乘积。引入一个旋转对称的可观测量$\varkappa = σ(c_V/T)^2$作为异常的稳健标志,其中$σ$表示纵向和霍尔导率的欧几里得范数,$c_V$是比热密度。该量遵循通用的$B^2$依赖性,并随$|\cosΘ|$缩放,其中$Θ$是$\mathbf{E}$和$\mathbf{B}$之间的角度。通过分析推导和完整数值模拟,我们证明$\varkappa$在固定$Θ$时独立于系统参数和磁场或电场的方向保持通用。尽管微观模型和低能有效理论中缺乏各向同性,$\varkappa$中涌现出的SO(3)对称性仍持续存在。

英文摘要:

The Adler-Bell-Jackiw chiral anomaly is shown to retain its Lorentz-invariant form, $\partial_μJ^μ_5 \propto \mathbf{E} \cdot \mathbf{B}$, in lattice Weyl systems beyond moderate magnetic fields, where neither Lorentz nor rotational symmetry is present. We show that the longitudinal and Hall magnetoconductivities factorize into a product of a universal part, governed by the chiral anomaly, and a non-universal part that depends on the density of states at the Fermi level. A rotationally invariant observable $\varkappa = σ(c_V/T)^2$ is introduced as a robust signature of the anomaly, where $σ$ denotes the Euclidean norm of the longitudinal and Hall conductivities and $c_V$ is the specific heat density. This quantity follows a universal $B^2$ dependence and scales as $|\cosΘ|$, with $Θ$ being the angle between $\mathbf{E}$ and $\mathbf{B}$. Through analytical derivation and full numerical simulation, we establish that $\varkappa$ remains universal independent of system parameters and of the orientation of the magnetic or electric field for fixed $Θ$. The emergent SO(3) symmetry in $\varkappa$ persists despite the absence of isotropy in both the microscopic model and the low-energy effective theory.

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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