Evolution of nodal line induced out-of-plane anomalous Hall effect in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Co</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="nor

Weyl semimetals have attracted considerable research interest over the past decade, with a number of intriguing transport phenomena reported. Magnetic Weyl semimetals, which break time reversal symmetry, have been predicted and recently discovered. <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:msub><a:mi mathvariant="normal">Co</a:mi><a:mn>3</a:mn></a:msub><a:msub><a:mi mathvariant="normal">Sn</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi mathvariant="normal">S</a:mi><a:mn>2</a:mn></a:msub></a:mrow></a:math> is a magnetic Weyl semimetal that exhibit a giant anomalous Hall effect (AHE) when the magnetic moments are aligned along the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mi>c</e:mi></e:math> axis. In this paper, we report the evolution of the AHE with an external magnetic field applied in the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:mrow><f:mi>a</f:mi><f:mi>b</f:mi></f:mrow></f:math> plane and current along the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML"><g:mi>c</g:mi></g:math> axis, namely, the out-of-plane AHE of <h:math xmlns:h="http://www.w3.org/1998/Math/MathML"><h:mrow><h:msub><h:mi mathvariant="normal">Co</h:mi><h:mn>3</h:mn></h:msub><h:msub><h:mi mathvariant="normal">Sn</h:mi><h:mn>2</h:mn></h:msub><h:msub><h:mi mathvariant="normal">S</h:mi><h:mn>2</h:mn></h:msub></h:mrow></h:math>. Density functional theory calculations predict a finite out-of-plane AHE when the spins are fully aligned in the <l:math xmlns:l="http://www.w3.org/1998/Math/MathML"><l:mrow><l:mi>a</l:mi><l:mi>b</l:mi></l:mrow></l:math> plane. The evolution of the magnetic structure modifies the nodal line distribution and the Berry curvature, resulting in a weaker AHE with an amplitude of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mn>200</m:mn><m:mspace width="0.16em"/><m:mi mathvariant="normal">S</m:mi><m:mspace width="0.28em"/><m:mi mathvariant="normal">c</m:mi><m:msup><m:mrow><m:mi mathvariant="normal">m</m:mi></m:mrow><m:mrow><m:mo>−</m:mo><m:mn>1</m:mn></m:mrow></m:msup></m:mrow></m:math> at the saturation field. To ensure the alignment of the magnetic field in the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML"><s:mrow><s:mi>a</s:mi><s:mi>b</s:mi></s:mrow></s:math> plane, a two-round scanning process was performed experimentally. After this, the out-of-plane AHE was measured at multiple temperatures. The observed AHE signals with applied fields of 1 and 2 T were in good agreement with theoretical predictions. These results suggest that engineering the anomalous Hall effect may be possible by designing the symmetry relation of the local Berry curvature.