Elastoresistive and Elastocaloric Anomalies at Magnetic and Electronic-Nematic Critical Points

Abstract

Using Ba(Fe${}_{0.975}$Co${}_{0.025}$)${}_2$As${}_2$ as an exemplar material exhibiting second order electronic-nematic and antiferromagnetic transitions, we present measurements that reveal anomalies in the elastoresistance $\left(\frac{\partial {\rho }_{ij}}{\partial {\epsilon }_{kl}}\right)$ and elastocaloric effect $\left(\frac{\partial T}{\partial {\epsilon }_{kl}}\right)$ at both phase transitions. Both effects are understood to arise from the effect of strain on the transition temperatures; in the region close to the phase transitions this leads to (1) similarity between the strain and temperature derivatives of the resistivity and (2) similarity between the elastocaloric effect and the singular part of the specific heat. These mechanisms for elastoresistance and elastocaloric effect should be anticipated for any material in which mechanical deformation changes the transition temperature. Furthermore, these measurements provide evidence that the Fisher-Langer relation ${\rho }^{(c)}\propto U^{(c)}$ between the scattering from critical degrees of freedom and their energy-density, respectively, holds near each of the Neél and electronic nematic transitions in the material studied.

arXiv comment6 pages, 3 figures

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• Evidence for realignment of the charge density wave state in ErTe${}_3$ and TmTe${}_3$ under uniaxial stress via elastocaloric and elastoresistivity measurements
• Absence of $E_{2g}$ nematic instability and dominant $A_{1g}$ response in the kagome metal CsV${}_3$Sb${}_5$
• Emergent Tetragonality in a Fundamentally Orthorhombic Material
• Role of Fermi surface for the pressure-tuned nematic transition in the BaFe${}_2$As${}_2$ family
• Elasto-Raman scattering: arsenic optical phonon as a probe of nematicity in BaFe${}_2$As${}_2$
• Quantitative relationship between structural orthorhombicity, shear modulus and heat capacity anomaly of the nematic transition in iron-based superconductors
• Resistive Anomaly near a Ferromagnetic Phase Transition: A Classical Memory Effect
• Tuning Charge Order in $\kappa$-(BEDT-TTF)${}_2$Hg(SCN)${}_2$X (X=Br, Cl) via Uniaxial Strain