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Title: Momentum-resolved superconducting energy gaps of Sr 2 RuO 4 from quasiparticle interference imaging

Abstract

Sr 2 RuO 4 has long been the focus of intense research interest because of conjectures that it is a correlated topological superconductor. It is the momentum space ( k -space) structure of the superconducting energy gap Δ i ( k ) on each band i that encodes its unknown superconducting order parameter. However, because the energy scales are so low, it has never been possible to directly measure the Δ i ( k ) of Sr 2 RuO 4 . Here, we implement Bogoliubov quasiparticle interference (BQPI) imaging, a technique capable of high-precision measurement of multiband Δ i ( k ) . At T = 90 mK, we visualize a set of Bogoliubov scattering interference wavevectors q j : j = 1 5 consistent with eight gap nodes/minima that are all closely aligned to the ( ± 1 , ± 1 ) crystal lattice directions on both the α and β bands. Taking these observations in combination with other very recent advances in directional thermal conductivity [E. Hassinger et al. , Phys. Rev. X 7, 011032 (2017)], temperature-dependent Knight shift [A. Pustogow et al. , Nature 574, 72–75 (2019)], time-reversal symmetry conservation [S. Kashiwaya et al. , Phys. Rev B , 100, 094530 (2019)], and theory [A. T. Rømer et al. , Phys. Rev. Lett. 123, 247001 (2019); H. S. Roising, T. Scaffidi, F. Flicker, G. F. Lange, S. H. Simon, Phys. Rev. Res. 1, 033108 (2019); and O. Gingras, R. Nourafkan, A. S. Tremblay, M. Côté, Phys. Rev. Lett. 123, 217005 (2019)], the BQPI signature of Sr 2 RuO 4 appears most consistent with Δ i ( k ) having d x 2 y 2 ( B 1 g ) symmetry.

Authors:
; ; ; ; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1601498
Grant/Contract Number:  
[SC0014335; DEAC02-98CH10886]
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
[Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 117 Journal Issue: 10]; Journal ID: ISSN 0027-8424
Publisher:
Proceedings of the National Academy of Sciences
Country of Publication:
United States
Language:
English

Citation Formats

Sharma, Rahul, Edkins, Stephen D., Wang, Zhenyu, Kostin, Andrey, Sow, Chanchal, Maeno, Yoshiteru, Mackenzie, Andrew P., Davis, J. C. Séamus, and Madhavan, Vidya. Momentum-resolved superconducting energy gaps of Sr 2 RuO 4 from quasiparticle interference imaging. United States: N. p., 2020. Web. doi:10.1073/pnas.1916463117.
Sharma, Rahul, Edkins, Stephen D., Wang, Zhenyu, Kostin, Andrey, Sow, Chanchal, Maeno, Yoshiteru, Mackenzie, Andrew P., Davis, J. C. Séamus, & Madhavan, Vidya. Momentum-resolved superconducting energy gaps of Sr 2 RuO 4 from quasiparticle interference imaging. United States. doi:10.1073/pnas.1916463117.
Sharma, Rahul, Edkins, Stephen D., Wang, Zhenyu, Kostin, Andrey, Sow, Chanchal, Maeno, Yoshiteru, Mackenzie, Andrew P., Davis, J. C. Séamus, and Madhavan, Vidya. Mon . "Momentum-resolved superconducting energy gaps of Sr 2 RuO 4 from quasiparticle interference imaging". United States. doi:10.1073/pnas.1916463117.
@article{osti_1601498,
title = {Momentum-resolved superconducting energy gaps of Sr 2 RuO 4 from quasiparticle interference imaging},
author = {Sharma, Rahul and Edkins, Stephen D. and Wang, Zhenyu and Kostin, Andrey and Sow, Chanchal and Maeno, Yoshiteru and Mackenzie, Andrew P. and Davis, J. C. Séamus and Madhavan, Vidya},
abstractNote = {Sr 2 RuO 4 has long been the focus of intense research interest because of conjectures that it is a correlated topological superconductor. It is the momentum space ( k -space) structure of the superconducting energy gap Δ i ( k ) on each band i that encodes its unknown superconducting order parameter. However, because the energy scales are so low, it has never been possible to directly measure the Δ i ( k ) of Sr 2 RuO 4 . Here, we implement Bogoliubov quasiparticle interference (BQPI) imaging, a technique capable of high-precision measurement of multiband Δ i ( k ) . At T = 90 mK, we visualize a set of Bogoliubov scattering interference wavevectors q j : j = 1 − 5 consistent with eight gap nodes/minima that are all closely aligned to the ( ± 1 , ± 1 ) crystal lattice directions on both the α and β bands. Taking these observations in combination with other very recent advances in directional thermal conductivity [E. Hassinger et al. , Phys. Rev. X 7, 011032 (2017)], temperature-dependent Knight shift [A. Pustogow et al. , Nature 574, 72–75 (2019)], time-reversal symmetry conservation [S. Kashiwaya et al. , Phys. Rev B , 100, 094530 (2019)], and theory [A. T. Rømer et al. , Phys. Rev. Lett. 123, 247001 (2019); H. S. Roising, T. Scaffidi, F. Flicker, G. F. Lange, S. H. Simon, Phys. Rev. Res. 1, 033108 (2019); and O. Gingras, R. Nourafkan, A. S. Tremblay, M. Côté, Phys. Rev. Lett. 123, 217005 (2019)], the BQPI signature of Sr 2 RuO 4 appears most consistent with Δ i ( k ) having d x 2 − y 2 ( B 1 g ) symmetry.},
doi = {10.1073/pnas.1916463117},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = [10],
volume = [117],
place = {United States},
year = {2020},
month = {2}
}

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