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:
-
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences
- Univ. of St. Andrews, St. Andrews (United Kingdom). Scottish Univ. Physics Alliance, School of Physics and Astronomy; STFC Rutherford Appleton Lab., Didcot (United Kingdom)
- 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)
- 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}
}
Web of Science
Works referenced in this record:
Detailed study of the ac susceptibility of in oriented magnetic fields
journal, December 2002
- Yaguchi, Hiroshi; Akima, Takashi; Mao, Zhiqiang
- Physical Review B, Vol. 66, Issue 21
Uniaxial strain control of spin-polarization in multicomponent nematic order of BaFe2As2
journal, March 2018
- Kissikov, T.; Sarkar, R.; Lawson, M.
- Nature Communications, Vol. 9, Issue 1
Large Chern Number and Edge Currents in
journal, August 2015
- Scaffidi, Thomas; Simon, Steven H.
- Physical Review Letters, Vol. 115, Issue 8
In-Plane Anisotropy of Upper Critical Field in
journal, January 2000
- Mao, Z. Q.; Maeno, Y.; NishiZaki, S.
- Physical Review Letters, Vol. 84, Issue 5
Behavior of anisotropic superconductors under uniaxial stress
journal, October 1987
- Sigrist, Manfred; Joynt, Robert; Rice, T. M.
- Physical Review B, Vol. 36, Issue 10
Search for spontaneous edge currents and vortex imaging in mesostructures
journal, April 2014
- Curran, P. J.; Bending, S. J.; Desoky, W. M.
- Physical Review B, Vol. 89, Issue 14
Strong Increase of Tc of Sr2RuO4 Under Both Tensile and Compressive Strain
journal, April 2014
- Hicks, C. W.; Brodsky, D. O.; Yelland, E. A.
- Science, Vol. 344, Issue 6181
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
Sr 2 RuO 4 : an electronic analogue of 3 He?
journal, November 1995
- Rice, T. M.; Sigrist, M.
- Journal of Physics: Condensed Matter, Vol. 7, Issue 47
Crystal growth of Sr2RuO4
journal, August 2000
- Mao, Z. Q.; Maenoab, Y.; Fukazawa, H.
- Materials Research Bulletin, Vol. 35, Issue 11
Scanning SQUID susceptometry of a paramagnetic superconductor
journal, June 2012
- Kirtley, J. R.; Kalisky, B.; Bert, J. A.
- Physical Review B, Vol. 85, Issue 22
Dynamical Superconducting Order Parameter Domains in Sr2RuO4
journal, November 2006
- Kidwingira, F.; Strand, J. D.; Van Harlingen, D. J.
- Science, Vol. 314, Issue 5803
Chiral superconductors
journal, April 2016
- Kallin, Catherine; Berlinsky, John
- Reports on Progress in Physics, Vol. 79, Issue 5
High Resolution Polar Kerr Effect Measurements of : Evidence for Broken Time-Reversal Symmetry in the Superconducting State
journal, October 2006
- Xia, Jing; Maeno, Yoshiteru; Beyersdorf, Peter T.
- Physical Review Letters, Vol. 97, Issue 16
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
Time-reversal symmetry-breaking superconductivity in Sr2RuO4
journal, August 1998
- Luke, G. M.; Fudamoto, Y.; Kojima, K. M.
- Nature, Vol. 394, Issue 6693
Elastic tensor of
journal, May 2002
- Paglione, Johnpierre; Lupien, C.; MacFarlane, W. A.
- Physical Review B, Vol. 65, Issue 22
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
Superconductivity in a layered perovskite without copper
journal, December 1994
- Maeno, Y.; Hashimoto, H.; Yoshida, K.
- Nature, Vol. 372, Issue 6506
Nontopological nature of the edge current in a chiral -wave superconductor
journal, March 2015
- Huang, Wen; Lederer, Samuel; Taylor, Edward
- Physical Review B, Vol. 91, Issue 9
Limits on superconductivity-related magnetization in and from scanning SQUID microscopy
journal, June 2010
- Hicks, Clifford W.; Kirtley, John R.; Lippman, Thomas M.
- Physical Review B, Vol. 81, Issue 21
Strong peak in T c of Sr 2 RuO 4 under uniaxial pressure
journal, January 2017
- Steppke, Alexander; Zhao, Lishan; Barber, Mark E.
- Science, Vol. 355, Issue 6321
Ultrasonic studies of the spin-triplet order parameter and the collective mode in
journal, January 2001
- Matsui, H.; Yoshida, Y.; Mukai, A.
- Physical Review B, Vol. 63, Issue 6
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
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
Fluctuation and strain effects in a chiral -wave superconductor
journal, February 2016
- Fischer, Mark H.; Berg, Erez
- Physical Review B, Vol. 93, Issue 5
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
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
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
Suppression of spontaneous currents in by surface disorder
journal, October 2014
- Lederer, Samuel; Huang, Wen; Taylor, Edward
- Physical Review B, Vol. 90, Issue 13
Resistivity in the Vicinity of a van Hove Singularity: under Uniaxial Pressure
journal, February 2018
- Barber, M. E.; Gibbs, A. S.; Maeno, Y.
- Physical Review Letters, Vol. 120, Issue 7
Works referencing / citing this record:
A Personal Perspective on the Unconventional Superconductivity of Sr2RuO4
journal, November 2019
- Mackenzie, A. P.
- Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1
Constraints on the superconducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance
journal, September 2019
- Pustogow, A.; Luo, Yongkang; Chronister, A.
- Nature, Vol. 574, Issue 7776
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
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
Exotic Cooper pairing in multiorbital models of
journal, October 2019
- Huang, Wen; Zhou, Yi; Yao, Hong
- Physical Review B, Vol. 100, Issue 13
Group-theoretical classification of superconducting states of strontium ruthenate
journal, December 2019
- Kaba, S. -O.; Sénéchal, D.
- Physical Review B, Vol. 100, Issue 21
Superconducting Symmetries of from First-Principles Electronic Structure
journal, November 2019
- Gingras, O.; Nourafkan, R.; Tremblay, A. -M. S.
- Physical Review Letters, Vol. 123, Issue 21
Time Reversal Symmetry Breaking Superconductors: Sr2RuO4 and Beyond
journal, May 2019
- Wysokiński, Karol Izydor
- Condensed Matter, Vol. 4, Issue 2
Piezoelectric-based uniaxial pressure cell with integrated force and displacement sensors
preprint, January 2018
- Barber, Mark E.; Steppke, Alexander; Mackenzie, Andrew P.
- arXiv
Group-theoretic classification of superconducting states of Strontium Ruthenate
text, January 2019
- Kaba, S. -O.; Sénéchal, D.
- arXiv