# Regularized continuum model of a Weyl semimetal for describing anomalous electromagnetic response

## TL;DR

This paper introduces a regularized continuum model for Weyl semimetals that accurately captures their anomalous electromagnetic responses, such as the chiral magnetic effect and anomalous Hall effect, which are not properly described by the traditional Weyl model.

## Contribution

A modified continuum model that unifies the description of CME and AHE in Weyl semimetals, overcoming limitations of the unbounded Weyl model.

## Key findings

- The regularized model correctly describes the CME and AHE.
- The original Weyl model can describe CME with an energy cutoff.
- The absence of CME at equilibrium is linked to Berry curvature properties.

## Abstract

Although the Weyl model with an unbounded linear energy spectrum appropriately describes low-energy electron states in a Weyl semimetal, it cannot capture the anomalous electromagnetic response of the chiral magnetic effect (CME) and anomalous Hall effect (AHE) in a straightforward manner. Here, we propose a regularized continuum model by modifying the Weyl model and show that it properly describes the CME and AHE in a unified manner. It turns out that the absence of the CME at equilibrium is guaranteed by a basic nature of the Berry curvature. We also show that the original Weyl model can properly describe the CME if an energy cutoff procedure is appropriately applied, although it fails to describe the AHE in its present form.