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Title: Micron-scale measurements of low anisotropic strain response of local $$T_c$$ in Sr$$_2$$RuO$$_4$$

Abstract

Strontium ruthenate (Sr$$_2$$RuO$$_4$$) is a multiband superconductor that displays evidence of topological superconductivity, although a model of the order parameter that is consistent with all experiments remains elusive. We integrated a piezoelectric-based strain apparatus with a scanning superconducting quantum interference device (SQUID) microscope to map the diamagnetic response of single-crystal Sr$$_2$$RuO$$_4$$ as a function of temperature, uniaxial pressure, and position with micron-scale spatial resolution. We thereby obtained local measurements of the superconducting transition temperature $$T_c$$ vs. anisotropic strain $$\epsilon$$ with sufficient sensitivity for comparison to theoretical models that assume a uniform $$p_x\pm ip_y$$ order parameter. We found that $$T_c$$ varies with position and that the locally measured $$T_c$$ vs. $$\epsilon$$ curves are quadratic ($$T_c\propto\epsilon^2$$), as allowed by the C$$_4$$ symmetry of the crystal lattice. We did not observe the low-strain linear cusp ($$T_c\propto \left| \epsilon \right|$$) that would be expected for a two-component order parameter such as $$p_x\pm ip_y$$. Lastly, these results provide new input for models of the order parameter of Sr$$_2$$RuO$$_4$$.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences
  3. Univ. of St. Andrews, St. Andrews (United Kingdom). Scottish Univ. Physics Alliance, School of Physics and Astronomy; STFC Rutherford Appleton Lab., Didcot (United Kingdom)
  4. Univ. of St. Andrews, St. Andrews (United Kingdom). Scottish Univ. Physics Alliance, School of Physics and Astronomy; Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
  5. Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
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). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1466112
Alternate Identifier(s):
OSTI ID: 1474003
Report Number(s):
APS/123-QED
Journal ID: ISSN 2469-9950
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 9; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Condensed matter physics; Superconductivity; Materials science

Citation Formats

Moler, Kathryn Ann, Watson, Christopher A., Gibbs, Alexander S., Mackenzie, Andrew P., and Hicks, Clifford W. Micron-scale measurements of low anisotropic strain response of local $T_c$ in Sr$_2$RuO$_4$. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.094521.
Moler, Kathryn Ann, Watson, Christopher A., Gibbs, Alexander S., Mackenzie, Andrew P., & Hicks, Clifford W. Micron-scale measurements of low anisotropic strain response of local $T_c$ in Sr$_2$RuO$_4$. United States. https://doi.org/10.1103/PhysRevB.98.094521
Moler, Kathryn Ann, Watson, Christopher A., Gibbs, Alexander S., Mackenzie, Andrew P., and Hicks, Clifford W. Wed . "Micron-scale measurements of low anisotropic strain response of local $T_c$ in Sr$_2$RuO$_4$". United States. https://doi.org/10.1103/PhysRevB.98.094521. https://www.osti.gov/servlets/purl/1466112.
@article{osti_1466112,
title = {Micron-scale measurements of low anisotropic strain response of local $T_c$ in Sr$_2$RuO$_4$},
author = {Moler, Kathryn Ann and Watson, Christopher A. and Gibbs, Alexander S. and Mackenzie, Andrew P. and Hicks, Clifford W.},
abstractNote = {Strontium ruthenate (Sr$_2$RuO$_4$) is a multiband superconductor that displays evidence of topological superconductivity, although a model of the order parameter that is consistent with all experiments remains elusive. We integrated a piezoelectric-based strain apparatus with a scanning superconducting quantum interference device (SQUID) microscope to map the diamagnetic response of single-crystal Sr$_2$RuO$_4$ as a function of temperature, uniaxial pressure, and position with micron-scale spatial resolution. We thereby obtained local measurements of the superconducting transition temperature $T_c$ vs. anisotropic strain $\epsilon$ with sufficient sensitivity for comparison to theoretical models that assume a uniform $p_x\pm ip_y$ order parameter. We found that $T_c$ varies with position and that the locally measured $T_c$ vs. $\epsilon$ curves are quadratic ($T_c\propto\epsilon^2$), as allowed by the C$_4$ symmetry of the crystal lattice. We did not observe the low-strain linear cusp ($T_c\propto \left| \epsilon \right|$) that would be expected for a two-component order parameter such as $p_x\pm ip_y$. Lastly, these results provide new input for models of the order parameter of Sr$_2$RuO$_4$.},
doi = {10.1103/PhysRevB.98.094521},
journal = {Physical Review B},
number = 9,
volume = 98,
place = {United States},
year = {Wed Sep 26 00:00:00 EDT 2018},
month = {Wed Sep 26 00:00:00 EDT 2018}
}

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Cited by: 31 works
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Works referenced in this record:

Detailed study of the ac susceptibility of Sr 2 RuO 4 in oriented magnetic fields
journal, December 2002


Uniaxial strain control of spin-polarization in multicomponent nematic order of BaFe2As2
journal, March 2018


Large Chern Number and Edge Currents in Sr 2 RuO 4
journal, August 2015


In-Plane Anisotropy of Upper Critical Field in Sr 2 RuO 4
journal, January 2000


Behavior of anisotropic superconductors under uniaxial stress
journal, October 1987


Search for spontaneous edge currents and vortex imaging in Sr 2 Ru O 4 mesostructures
journal, April 2014


Strong Increase of Tc of Sr2RuO4 Under Both Tensile and Compressive Strain
journal, April 2014


Evaluation of Spin-Triplet Superconductivity in Sr 2 RuO 4
journal, January 2012

  • Maeno, Yoshiteru; Kittaka, Shunichiro; Nomura, Takuji
  • Journal of the Physical Society of Japan, Vol. 81, Issue 1
  • DOI: 10.1143/JPSJ.81.011009

Sr 2 RuO 4 : an electronic analogue of 3 He?
journal, November 1995


Crystal growth of Sr2RuO4
journal, August 2000


Scanning SQUID susceptometry of a paramagnetic superconductor
journal, June 2012


Dynamical Superconducting Order Parameter Domains in Sr2RuO4
journal, November 2006


Chiral superconductors
journal, April 2016


High Resolution Polar Kerr Effect Measurements of Sr 2 RuO 4 : Evidence for Broken Time-Reversal Symmetry in the Superconducting State
journal, October 2006


Scanning SQUID susceptometers with sub-micron spatial resolution
journal, September 2016

  • Kirtley, John R.; Paulius, Lisa; Rosenberg, Aaron J.
  • Review of Scientific Instruments, Vol. 87, Issue 9
  • DOI: 10.1063/1.4961982

Time-reversal symmetry-breaking superconductivity in Sr2RuO4
journal, August 1998

  • Luke, G. M.; Fudamoto, Y.; Kojima, K. M.
  • Nature, Vol. 394, Issue 6693
  • DOI: 10.1038/29038

Elastic tensor of Sr 2 RuO 4
journal, May 2002


Quasiparticle States near the Surface and the Domain Wall in a p x ± i p y -Wave Superconductor
journal, March 1999

  • Matsumoto, Masashige; Sigrist, Manfred
  • Journal of the Physical Society of Japan, Vol. 68, Issue 3
  • DOI: 10.1143/JPSJ.68.994

Superconductivity in a layered perovskite without copper
journal, December 1994

  • Maeno, Y.; Hashimoto, H.; Yoshida, K.
  • Nature, Vol. 372, Issue 6506
  • DOI: 10.1038/372532a0

Nontopological nature of the edge current in a chiral p -wave superconductor
journal, March 2015


Limits on superconductivity-related magnetization in Sr 2 RuO 4 and PrOs 4 Sb 12 from scanning SQUID microscopy
journal, June 2010


Strong peak in T c of Sr 2 RuO 4 under uniaxial pressure
journal, January 2017


Ultrasonic studies of the spin-triplet order parameter and the collective mode in Sr 2 RuO 4
journal, January 2001


Strain and vector magnetic field tuning of the anomalous phase in Sr 3 Ru 2 O 7
journal, February 2017

  • Brodsky, Daniel O.; Barber, Mark E.; Bruin, Jan A. N.
  • Science Advances, Vol. 3, Issue 2
  • DOI: 10.1126/sciadv.1501804

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4
journal, July 2017

  • Mackenzie, Andrew P.; Scaffidi, Thomas; Hicks, Clifford W.
  • npj Quantum Materials, Vol. 2, Issue 1
  • DOI: 10.1038/s41535-017-0045-4

Fluctuation and strain effects in a chiral p -wave superconductor
journal, February 2016


Piezoelectric-based apparatus for strain tuning
journal, June 2014

  • Hicks, Clifford W.; Barber, Mark E.; Edkins, Stephen D.
  • Review of Scientific Instruments, Vol. 85, Issue 6
  • DOI: 10.1063/1.4881611

NMR and NQR studies on superconducting Sr2RuO4
journal, December 2008

  • Ishida, Kenji; Murakawa, Hiroshi; Mukuda, Hidekazu
  • Journal of Physics and Chemistry of Solids, Vol. 69, Issue 12
  • DOI: 10.1016/j.jpcs.2008.06.028

Elastic Anomalies and Acoustic de Haas-van Alphen Effects in Sr 2 RuO 4
journal, November 1998

  • Matsui, Hiroshi; Yamaguchi, Masanori; Yoshida, Yoshiyuki
  • Journal of the Physical Society of Japan, Vol. 67, Issue 11
  • DOI: 10.1143/JPSJ.67.3687

Suppression of spontaneous currents in Sr 2 RuO 4 by surface disorder
journal, October 2014


Resistivity in the Vicinity of a van Hove Singularity: Sr 2 RuO 4 under Uniaxial Pressure
journal, February 2018


Works referencing / citing this record:

A Personal Perspective on the Unconventional Superconductivity of Sr2RuO4
journal, November 2019


Constraints on the superconducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance
journal, September 2019


Piezoelectric-based uniaxial strain cell with high strain throughput and homogeneity
journal, February 2019

  • Kostylev, Ivan; Yonezawa, Shingo; Maeno, Yoshiteru
  • Journal of Applied Physics, Vol. 125, Issue 8
  • DOI: 10.1063/1.5063729

Piezoelectric-based uniaxial pressure cell with integrated force and displacement sensors
journal, February 2019

  • Barber, Mark E.; Steppke, Alexander; Mackenzie, Andrew P.
  • Review of Scientific Instruments, Vol. 90, Issue 2
  • DOI: 10.1063/1.5075485

Exotic Cooper pairing in multiorbital models of Sr 2 RuO 4
journal, October 2019


Group-theoretical classification of superconducting states of strontium ruthenate
journal, December 2019


Superconducting Symmetries of Sr 2 RuO 4 from First-Principles Electronic Structure
journal, November 2019


Time Reversal Symmetry Breaking Superconductors: Sr2RuO4 and Beyond
journal, May 2019


Piezoelectric-based uniaxial pressure cell with integrated force and displacement sensors
preprint, January 2018