Universal observable as a signal of chiral anomaly in lattice Weyl fermions
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908835907633152 |
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| author | Chen, Shi Chen, Yu |
| author_facet | Chen, Shi Chen, Yu |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_14530 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universal observable as a signal of chiral anomaly in lattice Weyl fermions Chen, Shi Chen, Yu Mesoscale and Nanoscale Physics 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. |
| title | Universal observable as a signal of chiral anomaly in lattice Weyl fermions |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2602.14530 |