Uniaxial stress tuning of the anomalous Hall effect in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>Mn</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mi>Ge</mml:mi> </mml:mrow> </mml:math>

Tunable electronic properties in magnetic materials lead to novel physical phenomena that have the potential to be exploited in the design of new spintronic devices. Here, we report the effect of uniaxial stress on the anomalous Hall effect (AHE) in the hexagonal frustrated antiferromagnetic Heusler compound <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mrow> <a:msub> <a:mi>Mn</a:mi> <a:mn>3</a:mn> </a:msub> <a:mi>Ge</a:mi> </a:mrow> </a:math> . Our x-ray diffraction results show that the <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"> <b:mrow> <b:mi>c</b:mi> <b:mo>/</b:mo> <b:mi>a</b:mi> </b:mrow> </b:math> ratio varies linearly with strain when stress is applied along the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"> <c:mi>a</c:mi> </c:math> axis, as well as a significantly higher Young's modulus along the <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"> <d:mi>c</d:mi> </d:math> direction. The linear behavior of the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"> <e:mrow> <e:mi>c</e:mi> <e:mo>/</e:mo> <e:mi>a</e:mi> </e:mrow> </e:math> ratio under uniaxial stress mirrors that seen under hydrostatic pressure up to 1.8 GPa, but results in a characteristically different behavior of the AHE. Stress applied along the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"> <f:mi>a</f:mi> </f:math> axis induces a distortion in the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML"> <g:mrow> <g:mi>a</g:mi> <g:mi>b</g:mi> </g:mrow> </g:math> plane, smoothing the abrupt jump in the AHE signal at zero magnetic field. In contrast, stress applied along the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML"> <h:mi>c</h:mi> </h:math> axis has little effect, presumably due to the higher Young's modulus. We argue that this is due to pronounced changes in magnetic order.