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Title: Measurement of elastoresistivity at finite frequency by amplitude demodulation

Abstract

Elastoresistivity, the relation between resistivity and strain, can elucidate subtle properties of the electronic structure of a material and is an increasingly important tool for the study of strongly correlated materials. To date, elastoresistivity measurements have been predominantly performed with quasi-static (DC) strain. In this work, we demonstrate a method for using AC strain in elastoresistivity measurements. A sample experiencing AC strain has a time-dependent resistivity, which modulates the voltage produced by an AC current; this effect produces time-dependent variations in resisitivity that are directly proportional to the elastoresistivity, and which can be measured more quickly, with less strain on the sample, and with less stringent requirements for temperature stability than the previous DC technique. Example measurements between 10 Hz and 3 kHz are performed on a material with a large, well-characterized and temperature dependent elastoresistivity: the representative iron-based superconductor BaFe 1:975Co 0:025As 2. These measurements yield a frequency independent elastoresistivity and reproduce results from previous DC elastoresistivity methods to within experimental accuracy. We emphasize that the dynamic (AC) elastoresistivity is a distinct material-speci c property that has not previously been considered.

Authors:
 [1]; ORCiD logo [1];  [1];  [1];  [1]; ORCiD logo [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States). Geballe Lab. for Advanced Materials
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1490057
Alternate Identifier(s):
OSTI ID: 1476377
Grant/Contract Number:  
DGE-114747; AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Review of Scientific Instruments
Additional Journal Information:
Journal Volume: 89; Journal Issue: 10; Journal ID: ISSN 0034-6748
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Hristov, Alexander T., Palmstrom, Johanna C., Straquadine, Joshua A. W., Merz, Tyler A., Hwang, Harold Y., and Fisher, Ian R. Measurement of elastoresistivity at finite frequency by amplitude demodulation. United States: N. p., 2018. Web. doi:10.1063/1.5031136.
Hristov, Alexander T., Palmstrom, Johanna C., Straquadine, Joshua A. W., Merz, Tyler A., Hwang, Harold Y., & Fisher, Ian R. Measurement of elastoresistivity at finite frequency by amplitude demodulation. United States. doi:10.1063/1.5031136.
Hristov, Alexander T., Palmstrom, Johanna C., Straquadine, Joshua A. W., Merz, Tyler A., Hwang, Harold Y., and Fisher, Ian R. Fri . "Measurement of elastoresistivity at finite frequency by amplitude demodulation". United States. doi:10.1063/1.5031136. https://www.osti.gov/servlets/purl/1490057.
@article{osti_1490057,
title = {Measurement of elastoresistivity at finite frequency by amplitude demodulation},
author = {Hristov, Alexander T. and Palmstrom, Johanna C. and Straquadine, Joshua A. W. and Merz, Tyler A. and Hwang, Harold Y. and Fisher, Ian R.},
abstractNote = {Elastoresistivity, the relation between resistivity and strain, can elucidate subtle properties of the electronic structure of a material and is an increasingly important tool for the study of strongly correlated materials. To date, elastoresistivity measurements have been predominantly performed with quasi-static (DC) strain. In this work, we demonstrate a method for using AC strain in elastoresistivity measurements. A sample experiencing AC strain has a time-dependent resistivity, which modulates the voltage produced by an AC current; this effect produces time-dependent variations in resisitivity that are directly proportional to the elastoresistivity, and which can be measured more quickly, with less strain on the sample, and with less stringent requirements for temperature stability than the previous DC technique. Example measurements between 10 Hz and 3 kHz are performed on a material with a large, well-characterized and temperature dependent elastoresistivity: the representative iron-based superconductor BaFe1:975Co0:025As2. These measurements yield a frequency independent elastoresistivity and reproduce results from previous DC elastoresistivity methods to within experimental accuracy. We emphasize that the dynamic (AC) elastoresistivity is a distinct material-speci c property that has not previously been considered.},
doi = {10.1063/1.5031136},
journal = {Review of Scientific Instruments},
number = 10,
volume = 89,
place = {United States},
year = {2018},
month = {10}
}

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Figures / Tables:

FIG. 1 FIG. 1: Schematic diagram illustrating the basic components and principles of the amplitude demodulation technique for measuring elastoresistivity. Both sample and strain gauge are (a) electronically excited with sinusoidal currents and (b) mechanically modulated by a piezoelectric device. The oscillating strain experienced by both the sample and strain gauge willmore » produce in each a time-varying resistance that modulates the amplitude of the voltage created by an excitation current. An electronic mixer circuit (c) then demodulates and filters the signal (with filter time constant $τ$ set to remove higher harmonics of the current frequency), moving these sidebands to $ω$s for detection (d). Blue dashed lines represent reference frequencies used in demodulation measurements. (e) Schematic of a sample (dark rectangle) prepared for an elastoresistance measurement, showing contacts (light rectangles) for four-point resistance measurements. The three relevant coordinate frames for these measurements are those of the primitive crystal unit cell (unprimed axes), the normal strain frame (i.e. there is zero shear with respect to the primed axes), and the current direction (double primed axes). The particular orientations of strain, crystal axes, applied current, and voltage contact placement must be carefully chosen in order to isolate the desired elastoresistivity component $m$$ijkl$, but the principles of the amplitude demodulation technique presented here can be applied to any configuration. (f) The voltage expected from a sample or resistive strain gauge modulated by strain shows fast oscillations at frequency $ω$c or $ω$g respectively, with a slowly varying envelope due to strain, shown in red, at frequency $ω$s. (g) The voltage signal following demodulation consists of a DC component proportional to the resistivity of the sample and a time-varying component at $ω$s, which is the proportional to the elastoresistivity.« less

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