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arXiv · 1509.05462

Symmetry constraints on the elastoresistivity tensor

M. C. Shapiro·Patrik Hlobil·A. T. Hristov·Akash V. Maharaj·I. R. Fisher
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Abstract

The elastoresistivity tensor $m_{ij,kl}$ characterizes changes in a material's resistivity due to strain. As a fourth-rank tensor, elastoresistivity can be a uniquely useful probe of the symmetries and character of the electronic state of a solid. We present a symmetry analysis of $m_{ij,kl}$ (both in the presence and absence of a magnetic field) based on the crystalline point group, focusing for pedagogic purposes on the $D_{4h}$ point group (of relevance to several materials of current interest). We also discuss the relation between $m_{ij,kl}$ and various thermodynamic susceptibilities, particularly where they are sensitive to critical fluctuations proximate to a critical point at which a point group symmetry is spontaneously broken.

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M. C. Shapiro, Patrik Hlobil, A. T. Hristov, Akash V. Maharaj, I. R. Fisher. 2015-09-17. Symmetry constraints on the elastoresistivity tensor. https://doi.org/10.1103/physrevb.92.235147

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