N\'eel vector-dependent anomalous transport in altermagnetic metal CrSb

Altermagnetism is a recently proposed class of collinear magnetism that combines the characteristics of both ferromagnetism and antiferromagnetism. Altermagnets are predicted to exhibit anomalous transport phenomena, such as the anomalous Hall and Nernst effects, as observed in ferromagnets but with a vanishing net magnetic moment, akin to antiferromagnets. Despite the promising potential of altermagnetic materials for realizing these unique transport properties, progress has been limited due to the scarcity of metallic altermagnets. Motivated by the recent discovery of the altermagnetic metal CrSb, we conducted a systematic study of its electrical and thermoelectric transport properties, including the anomalous Hall and Nernst effects, using first-principles calculations. Our findings indicate that CrSb exhibits low magnetocrystalline anisotropy energy, allowing for the manipulation of the N\'eel vector through an external electric field. We explored the anomalous Hall and Nernst conductivities as functions of the N\'eel vector orientation, finding that both effects reach their maximum when the N\'eel vector is aligned along $\frac{1}{2}$\textbf{\textit{a}}+\textbf{\textit{b}}. The origins of both conductivities were analyzed in terms of Berry curvature distribution in the Brillouin zone. Our results illustrate the N\'eel vector-dependent anomalous Hall and Nernst effects in an altermagnetic metal, offering an additional metallic altermagnetic platform to investigate anomalous transport properties, thereby complementing the widely studied RuO$_2$.