Giant lattice softening at a Lifshitz transition in Sr2RuO4

Hilary Noad; Kousuke Ishida; You-Sheng Li; Elena Gati; Veronika Stangier; Naoki Kikugawa; Dmitry Sokolov; Michael Nicklas; Bongjae Kim; Igor Mazin; Markus Garst; Jörg Schmalian; Andrew Mackenzie; Clifford Hicks

doi:10.1126/science.adf3348

Giant lattice softening at a Lifshitz transition in Sr₂RuO₄

Hilary Noad^*, Kousuke Ishida, You-Sheng Li, Elena Gati, Veronika Stangier, Naoki Kikugawa, Dmitry Sokolov, Michael Nicklas, Bongjae Kim, Igor Mazin, Markus Garst, Jörg Schmalian, Andrew Mackenzie^*, Clifford Hicks^*

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	447-450
Number of pages	4
Journal	Science
Volume	382
Issue number	6669
DOIs	https://doi.org/10.1126/science.adf3348
Publication status	Published - 27 Oct 2023

Bibliographical note

Funding:
This work was supported by the Max Planck Society; Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence (ct.qmat EXC 2147, Project 390858940 to A.P.M.); the German Research Foundation (TRR 288-422213477 ELASTO-Q-MAT, Project A10 to H.M.L.N., A.P.M., and C.W.H.; TRR 288-422213477 ELASTO-Q-MAT, Project A11 to M.G.; and TRR 288-422213477 ELASTO-Q-MAT, Project B01 to J.S. and V.S.); the Alexander von Humboldt Foundation (Research Fellowship for Postdoctoral Researchers to H.M.L.N.); received funding of the Klaus Tschira Boost Fund, a joint initiative of the German Scholars Organization and the Klaus Tschira Foundation (to H.M.L.N.); the Japan Society for the Promotion of Science (Overseas Research Fellowship to K.I. and KAKENHI Grants-in-Aid for Scientific Research grants 17H06136, 18K04715, 21H01033, and 22K19093 to N.K.; and Core-to-Core Program grant JPJSCCA20170002 to N.K.); the Japan Science and Technology Agency (JST)–Mirai Program (grant no. JPMJMI18A3 to N.K.); and the National Research Foundation of Korea (grants 2021R1C1C1007017 and 2022M3H4A1A04074153 to B.K.).

Keywords

Electronic structure
elasticity
Lifshitz transitions

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This is the author’s version of the work. It is posted here by permission of the AAAS for personal use, not for redistribution. The definitive version was published as H. M. L. Noad et al., Giant lattice softening at a Lifshitz transition in Sr2RuO4, in Science 382, pp.447-450 (2023), DOI:10.1126/science.adf3348
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Cite this

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title = "Giant lattice softening at a Lifshitz transition in Sr2RuO4",

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{\textquoteright}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.",

keywords = "Electronic structure, elasticity, Lifshitz transitions",

author = "Hilary Noad and Kousuke Ishida and You-Sheng Li and Elena Gati and Veronika Stangier and Naoki Kikugawa and Dmitry Sokolov and Michael Nicklas and Bongjae Kim and Igor Mazin and Markus Garst and J{\"o}rg Schmalian and Andrew Mackenzie and Clifford Hicks",

note = "Funding: This work was supported by the Max Planck Society; Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence (ct.qmat EXC 2147, Project 390858940 to A.P.M.); the German Research Foundation (TRR 288-422213477 ELASTO-Q-MAT, Project A10 to H.M.L.N., A.P.M., and C.W.H.; TRR 288-422213477 ELASTO-Q-MAT, Project A11 to M.G.; and TRR 288-422213477 ELASTO-Q-MAT, Project B01 to J.S. and V.S.); the Alexander von Humboldt Foundation (Research Fellowship for Postdoctoral Researchers to H.M.L.N.); received funding of the Klaus Tschira Boost Fund, a joint initiative of the German Scholars Organization and the Klaus Tschira Foundation (to H.M.L.N.); the Japan Society for the Promotion of Science (Overseas Research Fellowship to K.I. and KAKENHI Grants-in-Aid for Scientific Research grants 17H06136, 18K04715, 21H01033, and 22K19093 to N.K.; and Core-to-Core Program grant JPJSCCA20170002 to N.K.); the Japan Science and Technology Agency (JST)–Mirai Program (grant no. JPMJMI18A3 to N.K.); and the National Research Foundation of Korea (grants 2021R1C1C1007017 and 2022M3H4A1A04074153 to B.K.).",

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AU - Noad, Hilary

AU - Ishida, Kousuke

AU - Li, You-Sheng

AU - Gati, Elena

AU - Stangier, Veronika

AU - Kikugawa, Naoki

AU - Sokolov, Dmitry

AU - Nicklas, Michael

AU - Kim, Bongjae

AU - Mazin, Igor

AU - Garst, Markus

AU - Schmalian, Jörg

AU - Mackenzie, Andrew

AU - Hicks, Clifford

N1 - Funding: This work was supported by the Max Planck Society; Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence (ct.qmat EXC 2147, Project 390858940 to A.P.M.); the German Research Foundation (TRR 288-422213477 ELASTO-Q-MAT, Project A10 to H.M.L.N., A.P.M., and C.W.H.; TRR 288-422213477 ELASTO-Q-MAT, Project A11 to M.G.; and TRR 288-422213477 ELASTO-Q-MAT, Project B01 to J.S. and V.S.); the Alexander von Humboldt Foundation (Research Fellowship for Postdoctoral Researchers to H.M.L.N.); received funding of the Klaus Tschira Boost Fund, a joint initiative of the German Scholars Organization and the Klaus Tschira Foundation (to H.M.L.N.); the Japan Society for the Promotion of Science (Overseas Research Fellowship to K.I. and KAKENHI Grants-in-Aid for Scientific Research grants 17H06136, 18K04715, 21H01033, and 22K19093 to N.K.; and Core-to-Core Program grant JPJSCCA20170002 to N.K.); the Japan Science and Technology Agency (JST)–Mirai Program (grant no. JPMJMI18A3 to N.K.); and the National Research Foundation of Korea (grants 2021R1C1C1007017 and 2022M3H4A1A04074153 to B.K.).

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Y1 - 2023/10/27

N2 - 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.

AB - 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.

KW - Electronic structure

KW - elasticity

KW - Lifshitz transitions

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JF - Science

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