journal article·2021-12-09Open access

Quasi-particle interference of the van Hove singularity in Sr2RuO4

A. Kreisel, C. A. Marques, L. C. Rhodes, X. Kong, T. Berlijn, R. Fittipaldi, V. Granata, A. Vecchione, P. Wahl, P. J. Hirschfeld

npj Quantum Materials· Volume 6· Issue 1

Abstract

Abstract The single-layered ruthenate Sr2RuO4 is one of the most enigmatic unconventional superconductors. While for many years it was thought to be the best candidate for a chiral p-wave superconducting ground state, desirable for topological quantum computations, recent experiments suggest a singlet state, ruling out the original p-wave scenario. The superconductivity as well as the properties of the multi-layered compounds of the ruthenate perovskites are strongly influenced by a van Hove singularity in proximity of the Fermi energy. Tiny structural distortions move the van Hove singularity across the Fermi energy with dramatic consequences for the physical properties. Here, we determine the electronic structure of the van Hove singularity in the surface layer of Sr2RuO4 by quasi-particle interference imaging. We trace its dispersion and demonstrate from a model calculation accounting for the full vacuum overlap of the wave functions that its detection is facilitated through the octahedral rotations in the surface layer.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Advanced Condensed Matter Physics · Electronic and Structural Properties of Oxides · Physics of Superconductivity and Magnetism

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Maeno, Y. et al. Superconductivity in a layered perovskite without copper. Nature 372, 532–534 (1994).10.1038/372532a0 ↗
2. Mackenzie, A. P. & Maeno, Y. The superconductivity of Sr2RuO4 and the physics of spin-triplet pairing. Rev. Mod. Phys. 75, 657–712 (2003).10.1103/RevModPhys.75.657 ↗
3. Sigrist, M. Review on the chiral p-wave phase of Sr2RuO4. Prog. Theor. Phys. Suppl. 160, 1–14 (2005).10.1143/PTPS.160.1 ↗
4. Maeno, Y., Kittaka, S., Nomura, T., Yonezawa, S. & Ishida, K. Evaluation of spin-triplet superconductivity in Sr2RuO4. J. Phys. Soc. Jpn. 81, 011009 (2012).10.1143/JPSJ.81.011009 ↗
5. Kallin, C. Chiral p-wave order in Sr2RuO4. Rep. Prog. Phys. 75, 042501 (2012).10.1088/0034-4885/75/4/042501 ↗
6. Mackenzie, A. P., Scaffidi, T., Hicks, C. W. & Maeno, Y. Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4. npj Quantum Mater. 2, 40 (2017).10.1038/s41535-017-0045-4 ↗
7. Pustogow, A. et al. Constraints on the superconducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance. Nature 574, 72–75 (2019).10.1038/s41586-019-1596-2 ↗
8. Ghosh, S. et al. Thermodynamic evidence for a two-component superconducting order parameter in Sr2RuO4. Nat. Phys. 17, 199–204 (2021).10.1038/s41567-020-1032-4 ↗
9. Benhabib, S. et al. Ultrasound evidence for a two-component superconducting order parameter in Sr2RuO4. Nat. Phys. 17, 194–198 (2021).10.1038/s41567-020-1033-3 ↗
10. Grinenko, V. et al. Split superconducting and time-reversal symmetry-breaking transitions in Sr2RuO4 under stress. Nat. Phys. 17, 748–754 (2021).10.1038/s41567-021-01182-7 ↗
11. Ishida, K. et al. Spin-triplet superconductivity in Sr2RuO4 identified by 17O Knight shift probed by Ru NMR. Nature 396, 658–660 (1998).10.1038/25315 ↗
12. Hoffman, J. E. et al. Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+δ. Science 297, 1148–1151 (2002).10.1126/science.1072640 ↗
13. Hanaguri, T. et al. Coherence factors in a high-Tc cuprate probed by quasi-particle scattering off vortices. Science 323, 923–926 (2009).10.1126/science.1166138 ↗
14. Shen, K. M. et al. Evolution of the Fermi surface and quasiparticle renormalization through a van Hove singularity in Sr2−yLayRuO4. Phys. Rev. Lett. 99, 187001 (2007).10.1103/PhysRevLett.99.187001 ↗
15. Sunko, V. et al. Direct observation of a uniaxial stress-driven Lifshitz transition in Sr2RuO4. npj Quantum Mater. 4, 46 (2019).10.1038/s41535-019-0185-9 ↗
16. Steppke, A. et al. Strong peak in Tc of Sr2RuO4 under uniaxial pressure. Science 355, eaaf9398 (2017).10.1126/science.aaf9398 ↗
17. Binz, B. & Sigrist, M. Metamagnetism of itinerant electrons in multi-layer ruthenates. EPL 65, 816–822 (2004).10.1209/epl/i2003-10127-x ↗
18. Firmo, I. A. et al. Evidence from tunneling spectroscopy for a quasi-one-dimensional origin of superconductivity in Sr2RuO4. Phys. Rev. B 88, 134521 (2013).10.1103/PhysRevB.88.134521 ↗
19. Wang, Z. et al. Quasiparticle interference and strong electron–mode coupling in the quasi-one-dimensional bands of Sr2RuO4. Nat. Phys. 13, 799–805 (2017).10.1038/nphys4107 ↗
20. Akbari, A. & Thalmeier, P. Multiorbital and hybridization effects in the quasiparticle interference of the triplet superconductor Sr2RuO4. Phys. Rev. B 88, 134519 (2013).10.1103/PhysRevB.88.134519 ↗
21. Sharma, R. et al. Momentum-resolved superconducting energy gaps of Sr2RuO4 from quasiparticle interference imaging. Proc. Natl Acad. Sci. USA 117, 5222–5227 (2020).10.1073/pnas.1916463117 ↗
22. Marques, C. A. et al. Magnetic-field tunable intertwined checkerboard charge order and nematicity in the surface layer of Sr2RuO4. Adv. Mater. 33, 2100593 (2021).10.1002/adma.202100593 ↗
23. Matzdorf, R. et al. Ferromagnetism stabilized by lattice distortion at the surface of the p-wave superconductor Sr2RuO4. Science 289, 746–748 (2000).10.1126/science.289.5480.746 ↗
24. Rømer, A. T., Scherer, D. D., Eremin, I. M., Hirschfeld, P. J. & Andersen, B. M. Knight shift and leading superconducting instability from spin fluctuations in Sr2RuO4. Phys. Rev. Lett. 123, 247001 (2019).10.1103/PhysRevLett.123.247001 ↗
25. Tamai, A. et al. High-resolution photoemission on Sr2RuO4 reveals correlation-enhanced effective spin-orbit coupling and dominantly local self-energies. Phys. Rev. X 9, 021048 (2019).
26. Veenstra, C. N. et al. Spin-orbital entanglement and the breakdown of singlets and triplets in Sr2RuO4 revealed by spin- and angle-resolved photoemission spectroscopy. Phys. Rev. Lett. 112, 127002 (2014).10.1103/PhysRevLett.112.127002 ↗
27. Haverkort, M. W., Elfimov, I. S., Tjeng, L. H., Sawatzky, G. A. & Damascelli, A. Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4. Phys. Rev. Lett. 101, 026406 (2008).10.1103/PhysRevLett.101.026406 ↗
28. Zabolotnyy, V. et al. Renormalized band structure of Sr2RuO4: a quasiparticle tight-binding approach. J. Electron. Spectros. Relat. Phenom. 191, 48 – 53 (2013).10.1016/j.elspec.2013.10.003 ↗
29. Raghu, S. et al. Microscopic theory of the nematic phase in Sr3Ru2O7. Phys. Rev. B 79, 214402 (2009).10.1103/PhysRevB.79.214402 ↗
30. Lee, W.-C. & Wu, C. Theory of unconventional metamagnetic electron states in orbital band systems. Phys. Rev. B 80, 104438 (2009).10.1103/PhysRevB.80.104438 ↗
31. Puetter, C. M., Rau, J. G. & Kee, H.-Y. Microscopic route to nematicity in Sr3Ru2O7. Phys. Rev. B 81, 081105 (2010).10.1103/PhysRevB.81.081105 ↗
32. Kambara, H. et al. Scanning Tunneling Microscopy and Spectroscopy of Sr2RuO4. In AIP Conf. Proc., vol. 850, 539–540 (2006).10.1063/1.2354823 ↗
33. Lupien, C., Dutta, S. K., Barker, B. I., Maeno, Y. & Davis, J. C. mK-STM studies of the temperature- and field-dependence of the quasiparticle spectrum of Sr2RuO4. Phys. C. Supercond. 471, 708–710 (2011).10.1016/j.physc.2011.05.033 ↗
34. Hohenberg, P. & Kohn, W. Inhomogeneous electron gas. Phys. Rev. 136, B864–B871 (1964).10.1103/PhysRev.136.B864 ↗
35. Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).10.1103/PhysRevB.54.11169 ↗
36. Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758–1775 (1999).10.1103/PhysRevB.59.1758 ↗
37. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).10.1103/PhysRevLett.77.3865 ↗
38. Mostofi, A. A. et al. An updated version of wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 185, 2309 – 2310 (2014).10.1016/j.cpc.2014.05.003 ↗
39. Choubey, P., Berlijn, T., Kreisel, A., Cao, C. & Hirschfeld, P. J. Visualization of atomic-scale phenomena in superconductors: application to FeSe. Phys. Rev. B 90, 134520 (2014).10.1103/PhysRevB.90.134520 ↗
40. Kreisel, A. et al. Towards a quantitative description of tunneling conductance of superconductors: application to LiFeAs. Phys. Rev. B 94, 224518 (2016).10.1103/PhysRevB.94.224518 ↗
41. Choubey, P., Kreisel, A., Berlijn, T., Andersen, B. M. & Hirschfeld, P. J. Universality of scanning tunneling microscopy in cuprate superconductors. Phys. Rev. B 96, 174523 (2017).10.1103/PhysRevB.96.174523 ↗
42. Singh, U. R., Enayat, M., White, S. C. & Wahl, P. Construction and performance of a dilution-refrigerator based spectroscopic-imaging scanning tunneling microscope. Rev. Sci. Instrum. 84, 013708 (2013).10.1063/1.4788941 ↗
43. Fittipaldi, R. et al. Crystal growth of the new Sr2RuO4-Sr3Ru2O7 eutectic system by a floating-zone method. J. Cryst. Growth 282, 152–159 (2005).10.1016/j.jcrysgro.2005.04.104 ↗
44. Perry, R. & Maeno, Y. Systematic approach to the growth of high-quality single crystals of Sr3Ru2O7. J. Cryst. Growth 271, 134–141 (2004).10.1016/j.jcrysgro.2004.07.082 ↗
45. Fittipaldi, R., Granata, V. & Vecchione, A. Floating zone growth of eutectic Srn+1RunO3n+1 crystals. Cryst. Res. Technol. 46, 769–772 (2011).10.1002/crat.201000615 ↗
46. Kreisel, A. et al. Quasiparticle interference of the van Hove singularity in Sr2RuO4 (dataset) (2021). https://doi.org/10.17630/58e255a1-4696-488d-b154-693d1f0518b4.10.17630/58e255a1-4696-488d-b154-693d1f0518b4 ↗