Probing momentum-dependent scattering in uniaxially stressed Sr2RuO4 through the Hall effect

P.-Y. Yang; H.M.L. Noad; M.E. Barber; N. Kikugawa; D.A. Sokolov; A.P. Mackenzie; C.W. Hicks

doi:10.1103/PhysRevLett.131.036301

Probing momentum-dependent scattering in uniaxially stressed Sr₂RuO₄ through the Hall effect

P.-Y. Yang, H.M.L. Noad, M.E. Barber, N. Kikugawa, D.A. Sokolov, A.P. Mackenzie, C.W. Hicks

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Abstract

The largest Fermi surface sheet of the correlated metal Sr₂RuO₄ can be driven through a Lifshitz transition between an electronlike and an open geometry by uniaxial stress applied along the [100] lattice direction. Here, we investigate the effect of this transition on the longitudinal resistivity ρ_xx and the Hall coefficient RH. ρ_xx(T), when Sr₂RuO₄ is tuned to this transition, is found to have a T²logT form, as expected for a Fermi liquid tuned to a Lifshitz transition. RH is found to become more negative as the Fermi surface transitions from an electronlike to an open geometry, opposite to general expectations from this change in topology. The magnitude of the change in RH implies that scattering changes throughout the Brillouin zone, not just at the point in k space where the transition occurs. In a model of orbital-dependent scattering, the electron-electron scattering rate on sections of Fermi surface with xy orbital weight is found to decrease dramatically.

Original language	English
Article number	036301
Number of pages	6
Journal	Physical Review Letters
Volume	131
Issue number	3
Early online date	17 Jul 2023
DOIs	https://doi.org/10.1103/PhysRevLett.131.036301
Publication status	Published - 17 Jul 2023

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title = "Probing momentum-dependent scattering in uniaxially stressed Sr2RuO4 through the Hall effect",

abstract = "The largest Fermi surface sheet of the correlated metal Sr2RuO4 can be driven through a Lifshitz transition between an electronlike and an open geometry by uniaxial stress applied along the [100] lattice direction. Here, we investigate the effect of this transition on the longitudinal resistivity ρxx and the Hall coefficient RH. ρxx(T), when Sr2RuO4 is tuned to this transition, is found to have a T2logT form, as expected for a Fermi liquid tuned to a Lifshitz transition. RH is found to become more negative as the Fermi surface transitions from an electronlike to an open geometry, opposite to general expectations from this change in topology. The magnitude of the change in RH implies that scattering changes throughout the Brillouin zone, not just at the point in k space where the transition occurs. In a model of orbital-dependent scattering, the electron-electron scattering rate on sections of Fermi surface with xy orbital weight is found to decrease dramatically.",

author = "P.-Y. Yang and H.M.L. Noad and M.E. Barber and N. Kikugawa and D.A. Sokolov and A.P. Mackenzie and C.W. Hicks",

note = "Funding: The authors acknowledge the financial support of the Max Planck Society. A. P. M. and C. W. H. acknowledge the financial support of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—TRR 288–422213477 (project A10). N. K. is supported by a KAKENHI Grants-in-Aids for Scientific Research (Grants No. 17H06136, No. 18K04715, and No. 21H01033), and Core-to-Core Program (No. JPJSCCA20170002) from the Japan Society for the Promotion of Science (JSPS) and by a JST-Mirai Program (Grant No. JPMJMI18A3). H. M. L. N. acknowledges support from the Alexander von Humboldt Foundation through a Research Fellowship for Postdoctoral Researchers. Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence ct.qmat (EXC 2147, project ID 390858940).",

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AU - Yang, P.-Y.

AU - Noad, H.M.L.

AU - Barber, M.E.

AU - Kikugawa, N.

AU - Sokolov, D.A.

AU - Mackenzie, A.P.

AU - Hicks, C.W.

N1 - Funding: The authors acknowledge the financial support of the Max Planck Society. A. P. M. and C. W. H. acknowledge the financial support of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—TRR 288–422213477 (project A10). N. K. is supported by a KAKENHI Grants-in-Aids for Scientific Research (Grants No. 17H06136, No. 18K04715, and No. 21H01033), and Core-to-Core Program (No. JPJSCCA20170002) from the Japan Society for the Promotion of Science (JSPS) and by a JST-Mirai Program (Grant No. JPMJMI18A3). H. M. L. N. acknowledges support from the Alexander von Humboldt Foundation through a Research Fellowship for Postdoctoral Researchers. Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence ct.qmat (EXC 2147, project ID 390858940).

PY - 2023/7/17

Y1 - 2023/7/17

N2 - The largest Fermi surface sheet of the correlated metal Sr2RuO4 can be driven through a Lifshitz transition between an electronlike and an open geometry by uniaxial stress applied along the [100] lattice direction. Here, we investigate the effect of this transition on the longitudinal resistivity ρxx and the Hall coefficient RH. ρxx(T), when Sr2RuO4 is tuned to this transition, is found to have a T2logT form, as expected for a Fermi liquid tuned to a Lifshitz transition. RH is found to become more negative as the Fermi surface transitions from an electronlike to an open geometry, opposite to general expectations from this change in topology. The magnitude of the change in RH implies that scattering changes throughout the Brillouin zone, not just at the point in k space where the transition occurs. In a model of orbital-dependent scattering, the electron-electron scattering rate on sections of Fermi surface with xy orbital weight is found to decrease dramatically.

AB - The largest Fermi surface sheet of the correlated metal Sr2RuO4 can be driven through a Lifshitz transition between an electronlike and an open geometry by uniaxial stress applied along the [100] lattice direction. Here, we investigate the effect of this transition on the longitudinal resistivity ρxx and the Hall coefficient RH. ρxx(T), when Sr2RuO4 is tuned to this transition, is found to have a T2logT form, as expected for a Fermi liquid tuned to a Lifshitz transition. RH is found to become more negative as the Fermi surface transitions from an electronlike to an open geometry, opposite to general expectations from this change in topology. The magnitude of the change in RH implies that scattering changes throughout the Brillouin zone, not just at the point in k space where the transition occurs. In a model of orbital-dependent scattering, the electron-electron scattering rate on sections of Fermi surface with xy orbital weight is found to decrease dramatically.

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DO - 10.1103/PhysRevLett.131.036301

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VL - 131

JO - Physical Review Letters

JF - Physical Review Letters

IS - 3

M1 - 036301

ER -

Probing momentum-dependent scattering in uniaxially stressed Sr2RuO4 through the Hall effect

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Probing momentum-dependent scattering in uniaxially stressed Sr₂RuO₄ through the Hall effect