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Noad HML, Ishida K, Li YS, Gati E, Stangier V, Kikugawa N, Sokolov DA, Nicklas M, Kim B, Mazin II, Garst M, Schmalian J, Mackenzie AP, Hicks CW. Giant lattice softening at a Lifshitz transition in Sr 2RuO 4. Science 2023; 382:447-450. [PMID: 37883549 DOI: 10.1126/science.adf3348] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/19/2022] [Accepted: 09/16/2023] [Indexed: 10/28/2023]
Abstract
The interplay of electronic and structural degrees of freedom in solids is a topic of intense research. More than 60 years ago, Lifshitz discussed a counterintuitive possibility: lattice softening driven by conduction electrons at topological Fermi surface transitions. The effect that he predicted, however, was small and has not been convincingly observed. Using a piezo-based uniaxial pressure cell to tune the ultraclean metal strontium ruthenate while measuring the stress-strain relationship, we reveal a huge softening of the Young's modulus at a Lifshitz transition of a two-dimensional Fermi surface and show that it is indeed driven entirely by the conduction electrons of the relevant energy band.
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Affiliation(s)
- H M L Noad
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - K Ishida
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - Y-S Li
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - E Gati
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - V Stangier
- Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany
| | - N Kikugawa
- National Institute for Materials Science, Tsukuba, Ibaraki 305-0003, Japan
| | - D A Sokolov
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - M Nicklas
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - B Kim
- Department of Physics, Kunsan National University, Gunsan 54150, Korea
- Department of Physics, Kyungpook National University, Daegu 41566, Korea
| | - I I Mazin
- Department of Physics and Astronomy, George Mason University, Fairfax, VA 22030, USA
- Quantum Science and Engineering Center, George Mason University, Fairfax, VA 22030, USA
| | - M Garst
- Institut für Theoretische Festkörperphysik, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany
- Institut für QuantenMaterialien und Technologien, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany
| | - J Schmalian
- Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany
- Institut für QuantenMaterialien und Technologien, Karlsruher Institut für Technologie, 76131 Karlsruhe, Germany
| | - A P Mackenzie
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, UK
| | - C W Hicks
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
- School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UK
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