Measurement of the $B_{1g}$ and $B_{2g}$ components of the elastoresistivity tensor for tetragonal materials via transverse resistivity configurations

Abstract

The elastoresistivity tensor $m_{ij,kl}$ relates changes in resistivity to strains experienced by a material. As a fourth-rank tensor, it contains considerably more information about the material than the simpler (second-rank) resistivity tensor; in particular, for a tetragonal material, the $B_{1g}$ and $B_{2g}$ components of the elastoresistivity tensor ($m_{xx,xx}-m_{xx,yy}$ and $2m_{xy,xy}$, respectively) can be related to its nematic susceptibility. Previous experimental probes of this quantity have focused exclusively on differential longitudinal elastoresistance measurements, which determine the induced resistivity anisotropy arising from anisotropic in-plane strain based on the difference of two longitudinal resistivity measurements. Here we describe a complementary technique based on \textit{transverse} elastoresistance measurements. This new approach is advantageous because it directly determines the strain-induced resistivity anisotropy from a single transverse measurement. To demonstrate the efficacy of this new experimental protocol, we present transverse elastoresistance measurements of the $2m_{xy,xy}$ elastoresistivity coefficient of BaFe${}_2$As${}_2$, a representative iron-pnictide that has previously been characterized via differential longitudinal elastoresistance measurements.

23 pages, 15 figures

References in corpus (8)

• Superconductivity at 22 K in Co-doped BaFe2As2 Crystals
• Determination of the phase diagram of the electron doped superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Emergence of the nematic electronic state in FeSe
• Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
• Low-temperature, in situ tunable, uniaxial stress measurements in semiconductors using a piezoelectric actuator
• Symmetry constraints on the elastoresistivity tensor
• Electronic nematic correlations in the stress free tetragonal state of BaFe${}_{2-x}$Ni${}_x$As${}_2$
• Elastoconductivity as a probe of broken mirror symmetries

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• Determination of the resistivity anisotropy of orthorhombic materials via transverse resistivity measurements
• Evolution of the nematic susceptibility in LaFe${}_{1-x}$Co${}_x$AsO
• Bond Directional Anapole Order in a Spin-Orbit Coupled Mott Insulator Sr${}_2$(Ir${}_{1-x}$Rh${}_x$)O${}_4$
• Absence of $E_{2g}$ nematic instability and dominant $A_{1g}$ response in the kagome metal CsV${}_3$Sb${}_5$
• Elastoresistance measurements on CaKFe${}_4$As${}_4$ and KCa${}_2$Fe${}_4$As${}_4$F${}_2$ with the Fe site of $C_{2v}$ symmetry
• Emergent Tetragonality in a Fundamentally Orthorhombic Material
• Measurement of Elastoresistivity at Finite Frequency by Amplitude Demodulation
• Proposal for methods to measure the octupole susceptibility
• Comparison of temperature and doping dependence of nematic susceptibility near a putative nematic quantum critical point
• Growth of nematic susceptibility in the field-induced normal state of an iron-based superconductor revealed by elastoresistivity measurements in a 65 T pulsed magnet
• Direct evidence for the absence of coupling between shear strain and superconductivity in Sr2RuO4
• Divergence of the quadrupole-strain susceptibility of YbRu${}_2$Ge${}_2$; a local moment realization of electronic nematicity
• Detecting isotropic density and nematic fluctuations using ultrafast coherent phonon spectroscopy