Scale-invariant magnetoresistance in a cuprate superconductor

Giraldo-Gallo, Paula; Galvis, J. A.; Stegen, Z.; Modic, K. A.; Balakirev, F. F.; Betts, J. B.; Lian, X.; Moir, C.; Riggs, S. C.; Wu, J.; Bollinger, A. T.; He, X.; Bozovic, Ivan; Ramshaw, B. J.; McDonald, R. D.; Boebinger, G. S.; Shekhter, A.

doi:10.1126/science.aan3178

Title: Scale-invariant magnetoresistance in a cuprate superconductor

Journal Article · 02 August 2018 · Science

DOI: https://doi.org/10.1126/science.aan3178 · OSTI ID:1431455

Giraldo-Gallo, Paula ^[1]; Galvis, J. A. ^[1]; Stegen, Z. ^[1]; Modic, K. A. ^[2]; Balakirev, F. F. ^[3]; Betts, J. B. ^[3]; Lian, X. ^[1]; Moir, C. ^[1]; Riggs, S. C. ^[1]; Wu, J. ^[4]; Bollinger, A. T. ^[4]; He, X. ^[5];

^[5]; Ramshaw, B. J. ^[6]; McDonald, R. D. ^[3]; Boebinger, G. S. ^[7]; Shekhter, A. ^[1]

Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)
Max-Planck-Inst. for Chemical Physics of Solids, Dresden (Germany)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States); Yale Univ., New Haven, CT (United States). Applied Physics Dept.
Cornell Univ., Ithaca, NY (United States). Lab. of Atomic and Solid State Physics (LASSP); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab); Florida State Univ., Tallahassee, FL (United States). Dept. of Physics

The anomalous metallic state in high-temperature superconducting cuprates is masked by the onset of superconductivity near a quantum critical point. Use of high magnetic elds to suppress superconductivity has enabled a detailed study of the ground state in these systems. Yet, the direct effect of strong magnetic fields on the metallic behavior at low temperatures is poorly understood, especially near critical doping, x = 0.19. Here we report a high-field magnetoresistance study of thin lms of La_2-xSr_xCuO₄ cuprates in close vicinity to critical doping, 0.161 ≤ x ≤ 0.190. We find that the metallic state exposed by suppressing superconductivity is characterized by a magnetoresistance that is linear in magnetic field up to the highest measured elds of 80T. The slope of the linear-in- eld resistivity is temperature-independent at very high fields. It mirrors the magnitude and doping evolution of the linear-in-temperature resistivity that has been ascribed to Planckian dissipation near a quantum critical point. This establishes true scale-invariant conductivity as the signature of the strange metal state in high-temperature superconducting cuprates.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012704

OSTI ID:: 1431455

Alternate ID(s):: OSTI ID: 1464326

Report Number(s):: BNL--203463-2018-JAAM; {"","Journal ID: ISSN 0036-8075"}

Journal Information:: Science, Journal Name: Science Journal Issue: 6401 Vol. 361; ISSN 0036-8075

Publisher:: AAASCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Holographic Duality in Condensed Matter Physics Zaanen, Jan; Liu, Yan; Sun, Ya-Wen Cambridge University Press https://doi.org/10.1017/CBO9781139942492	book	January 2015
Charge density wave fluctuations in La2-xSrxCuO4 and their competition with superconductivity Croft, T. P.; Lester, C.; Senn, M. S. arXiv https://doi.org/10.48550/arxiv.1404.7474	text	January 2014
Universality of the Mott–Ioffe–Regel limit in metals Hussey ‖, N. E.; Takenaka, K.; Takagi, H. Philosophical Magazine, Vol. 84, Issue 27 https://doi.org/10.1080/14786430410001716944	journal	September 2004
Dependence of the critical temperature in overdoped copper oxides on superfluid density Božović, I.; He, X.; Wu, J. Nature, Vol. 536, Issue 7616 https://doi.org/10.1038/nature19061	journal	August 2016
Similarity of Scattering Rates in Metals Showing T-Linear Resistivity Bruin, J. A. N.; Sakai, H.; Perry, R. S. Science, Vol. 339, Issue 6121 https://doi.org/10.1126/science.1227612	journal	February 2013
High-Temperature Superconductivity in a Single Copper-Oxygen Plane Logvenov, G.; Gozar, A.; Bozovic, I. Science, Vol. 326, Issue 5953 https://doi.org/10.1126/science.1178863	journal	October 2009
Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+ Comin, R.; Frano, A.; Yee, M. M. Science, Vol. 343, Issue 6169 https://doi.org/10.1126/science.1242996	journal	December 2013
Phenomenology of the normal state in-plane transport properties of high- T _c cuprates Hussey, N. E. Journal of Physics: Condensed Matter, Vol. 20, Issue 12 https://doi.org/10.1088/0953-8984/20/12/123201	journal	February 2008
Theory of the Quantum Critical Fluctuations in Cuprate Superconductors Aji, Vivek; Varma, C. M. Physical Review Letters, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevLett.99.067003	journal	August 2007
Optical Birefringence and Dichroism of Cuprate Superconductors in the THz Regime Lubashevsky, Y.; Pan, LiDong; Kirzhner, T. Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.147001	journal	April 2014
A global inversion-symmetry-broken phase inside the pseudogap region of YBa2Cu3Oy Zhao, L.; Belvin, C. A.; Liang, R. Nature Physics, Vol. 13, Issue 3 https://doi.org/10.1038/nphys3962	journal	November 2016
Scaling between magnetic field and temperature in the high-temperature superconductor BaFe2(As1−xPx)2 Hayes, Ian M.; McDonald, Ross D.; Breznay, Nicholas P. Nature Physics, Vol. 12, Issue 10 https://doi.org/10.1038/nphys3773	journal	May 2016
Anomalous Criticality in the Electrical Resistivity of La2-xSrxCuO4 Cooper, R. A.; Wang, Y.; Vignolle, B. Science, Vol. 323, Issue 5914 https://doi.org/10.1126/science.1165015	journal	January 2009
Bounding the pseudogap with a line of phase transitions in YBa2Cu3O6+δ Shekhter, Arkady; Ramshaw, B. J.; Liang, Ruixing Nature, Vol. 498, Issue 7452 https://doi.org/10.1038/nature12165	journal	June 2013
Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor Ramshaw, B. J.; Sebastian, S. E.; McDonald, R. D. arXiv https://doi.org/10.48550/arxiv.1409.3990	text	January 2014
Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa ₂ Cu ₄ O ₈ Proust, Cyril; Vignolle, Baptiste; Levallois, Julien Proceedings of the National Academy of Sciences, Vol. 113, Issue 48 https://doi.org/10.1073/pnas.1602709113	journal	November 2016
Superconductor-to-nonsuperconductor transition in ( La 1 − x Sr x ) 2 CuO 4 as investigated by transport and magnetic measurements Takagi, H.; Ido, T.; Ishibashi, S. Physical Review B, Vol. 40, Issue 4 https://doi.org/10.1103/PhysRevB.40.2254	journal	August 1989
Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor Doiron-Leyraud, Nicolas; Proust, Cyril; LeBoeuf, David Nature, Vol. 447, Issue 7144 https://doi.org/10.1038/nature05872	journal	May 2007
Magnetic Order in the Pseudogap Phase of High- T C Superconductors Fauqué, B.; Sidis, Y.; Hinkov, V. Physical Review Letters, Vol. 96, Issue 19 https://doi.org/10.1103/PhysRevLett.96.197001	journal	May 2006
Magnetic order in the pseudogap phase of high-$T_C$ superconductors Fauque, B.; Sidis, Y.; Hinkov, V. arXiv https://doi.org/10.48550/arxiv.cond-mat/0509210	text	January 2005
Insulator-to-Metal Crossover in the Normal State of La 2 − x Sr x CuO 4 Near Optimum Doping Boebinger, G. S.; Ando, Yoichi; Passner, A. Physical Review Letters, Vol. 77, Issue 27 https://doi.org/10.1103/PhysRevLett.77.5417	journal	December 1996
Optical Birefringence and Dichroism of Cuprate Superconductors in the THz regime Lubashevsky, Y.; Pan, LiDong; Kirzhner, T. arXiv https://doi.org/10.48550/arxiv.1310.2265	text	January 2013
Experimental Constraints on the Theory of High-Tc Superconductivity Anderson, P. W. Science, Vol. 256, Issue 5063 https://doi.org/10.1126/science.256.5063.1526	journal	June 1992
Transport near a quantum critical point in BaFe2(As1−xPx)2 Analytis, James G.; Kuo, H-H.; McDonald, Ross D. Nature Physics, Vol. 10, Issue 3 https://doi.org/10.1038/nphys2869	journal	January 2014
From quantum matter to high-temperature superconductivity in copper oxides Keimer, B.; Kivelson, S. A.; Norman, M. R. Nature, Vol. 518, Issue 7538 https://doi.org/10.1038/nature14165	journal	February 2015
Direct measurement of the upper critical field in a cuprate superconductor Grissonnanche, G.; Cyr-Choiniere, O.; Laliberte, F. arXiv https://doi.org/10.48550/arxiv.1303.3856	text	January 2013
Logarithmic Divergence of both In-Plane and Out-of-Plane Normal-State Resistivities of Superconducting La 2 − x Sr x Cu O 4 in the Zero-Temperature Limit Ando, Yoichi; Boebinger, G. S.; Passner, A. Physical Review Letters, Vol. 75, Issue 25 https://doi.org/10.1103/PhysRevLett.75.4662	journal	December 1995
Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa ₂ Cu ₄ O ₈ Proust, Cyril; Vignolle, Baptiste; Levallois, Julien Proceedings of the National Academy of Sciences, Vol. 113, Issue 48 https://doi.org/10.1073/pnas.1602709113	journal	November 2016
Change of carrier density at the pseudogap critical point of a cuprate superconductor Badoux, S.; Tabis, W.; Laliberté, F. arXiv https://doi.org/10.48550/arxiv.1511.08162	text	January 2015
Perspective: Extremely fine tuning of doping enabled by combinatorial molecular-beam epitaxy Wu, J.; Božović, I. APL Materials, Vol. 3, Issue 6 https://doi.org/10.1063/1.4917283	journal	June 2015
Breakdown of One-Parameter Scaling in Quantum Critical Scenarios for High-Temperature Copper-Oxide Superconductors Phillips, Philip; Chamon, Claudio Physical Review Letters, Vol. 95, Issue 10 https://doi.org/10.1103/PhysRevLett.95.107002	journal	August 2005
Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa_2Cu_4O_8 Proust, Cyril; Vignolle, B.; Levallois, J. arXiv https://doi.org/10.48550/arxiv.1507.06828	text	January 2015
Phenomenology of the normal state of Cu-O high-temperature superconductors Varma, C. M.; Littlewood, P. B.; Schmitt-Rink, S. Physical Review Letters, Vol. 63, Issue 18 https://doi.org/10.1103/PhysRevLett.63.1996	journal	October 1989
Evolution of the Hall Coefficient and the Peculiar Electronic Structure of the Cuprate Superconductors Ando, Yoichi; Kurita, Y.; Komiya, Seiki Physical Review Letters, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevLett.92.197001	journal	May 2004
Quantum Phase Transition in the Magnetic-Field-Induced Normal State of Optimum-Doped High- T c Cuprate Superconductors at Low Temperatures Balakirev, F. F.; Betts, J. B.; Migliori, A. Physical Review Letters, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevLett.102.017004	journal	January 2009
Direct measurement of the upper critical field in a cuprate superconductor Grissonnanche, G.; Cyr-Choiniere, O.; Laliberte, F. arXiv https://doi.org/10.48550/arxiv.1303.3856	text	January 2013
Dependence of the critical temperature in overdoped copper oxides on superfluid density Božović, I.; He, X.; Wu, J. Nature, Vol. 536, Issue 7616 https://doi.org/10.1038/nature19061	journal	August 2016
Magnetic Order in the Pseudogap Phase of High- T C Superconductors Fauqué, B.; Sidis, Y.; Hinkov, V. Physical Review Letters, Vol. 96, Issue 19 https://doi.org/10.1103/physrevlett.96.197001	journal	May 2006
Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates Hussey, N. E. arXiv https://doi.org/10.48550/arxiv.0804.2984	text	January 2008
Superconductivity in Bad Metals Emery, V. J.; Kivelson, S. A. Physical Review Letters, Vol. 74, Issue 16 https://doi.org/10.1103/PhysRevLett.74.3253	journal	April 1995
Polar Kerr-Effect Measurements of the High-Temperature YBa 2 Cu 3 O 6 + x Superconductor: Evidence for Broken Symmetry near the Pseudogap Temperature Xia, Jing; Schemm, Elizabeth; Deutscher, G. Physical Review Letters, Vol. 100, Issue 12 https://doi.org/10.1103/PhysRevLett.100.127002	journal	March 2008
Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point Lederer, Samuel; Schattner, Yoni; Berg, Erez Proceedings of the National Academy of Sciences, Vol. 114, Issue 19 https://doi.org/10.1073/pnas.1620651114	journal	April 2017
Charge density wave fluctuations in La 2 − x Sr x CuO 4 and their competition with superconductivity Croft, T. P.; Lester, C.; Senn, M. S. Physical Review B, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevB.89.224513	journal	June 2014
Direct measurement of the upper critical field in cuprate superconductors Grissonnanche, G.; Cyr-Choinière, O.; Laliberté, F. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4280	journal	February 2014
Quantum oscillations in an overdoped high-Tc superconductor Vignolle, B.; Carrington, A.; Cooper, R. A. Nature, Vol. 455, Issue 7215 https://doi.org/10.1038/nature07323	journal	October 2008
Conduction in non-crystalline systems IX. the minimum metallic conductivity Mott, N. F. Philosophical Magazine, Vol. 26, Issue 4 https://doi.org/10.1080/14786437208226973	journal	October 1972
Why the temperature is high Zaanen, Jan Nature, Vol. 430, Issue 6999 https://doi.org/10.1038/430512a	journal	July 2004
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 Chang, J.; Blackburn, E.; Holmes, A. T. Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2456	journal	October 2012
Change of carrier density at the pseudogap critical point of a cuprate superconductor Badoux, S.; Tabis, W.; Laliberté, F. Nature, Vol. 531, Issue 7593 https://doi.org/10.1038/nature16983	journal	February 2016
Signature of optimal doping in Hall-effect measurements on a high-temperature superconductor Balakirev, Fedor F.; Betts, Jonathan B.; Migliori, Albert Nature, Vol. 424, Issue 6951 https://doi.org/10.1038/nature01890	journal	August 2003
Electronic Phase Diagram of High- T c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature Ando, Yoichi; Komiya, Seiki; Segawa, Kouji Physical Review Letters, Vol. 93, Issue 26 https://doi.org/10.1103/PhysRevLett.93.267001	journal	December 2004
Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor Ramshaw, B. J.; Sebastian, S. E.; McDonald, R. D. Science, Vol. 348, Issue 6232 https://doi.org/10.1126/science.aaa4990	journal	March 2015
Change of carrier density at the pseudogap critical point of a cuprate superconductor Badoux, S.; Tabis, W.; Laliberté, F. arXiv https://doi.org/10.48550/arxiv.1511.08162	text	January 2015
Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor Doiron-Leyraud, Nicolas; Proust, Cyril; LeBoeuf, David arXiv https://doi.org/10.48550/arxiv.0801.1281	text	January 2008
Evolution of the Hall Coefficient and the Peculiar Electronic Structure of the Cuprate Superconductors Ando, Yoichi; Kurita, Y.; Komiya, Seiki arXiv https://doi.org/10.48550/arxiv.cond-mat/0401034	text	January 2004
LDA energy bands, low-energy hamiltonians, t′, t″, t⊥ (k), and J⊥ Andersen, O. K.; Liechtenstein, A. I.; Jepsen, O. Journal of Physics and Chemistry of Solids, Vol. 56, Issue 12 https://doi.org/10.1016/0022-3697(95)00269-3	journal	December 1995

Cited By (20)

Strange metal in magic-angle graphene with near Planckian dissipation Cao, Yuan; Chowdhury, Debanjan; Rodan-Legrain, Daniel arXiv https://doi.org/10.48550/arxiv.1901.03710	text	January 2019
Possible Scale Invariant Linear Magnetoresistance in Pyrochlore Iridates Bi$_2$Ir$_2$O$_7$ Chu, Jiun-Haw; Liu, Jian; Zhang, Han arXiv https://doi.org/10.48550/arxiv.1309.4750	text	January 2013
Correlation between scale-invariant normal-state resistivity and superconductivity in an electron-doped cuprate Sarkar, Tarapada; Mandal, P. R.; Poniatowski, N. R. Science Advances, Vol. 5, Issue 5 https://doi.org/10.1126/sciadv.aav6753	journal	May 2019
Anomalous magnetoresistance due to longitudinal spin fluctuations in a Jeff = 1/2 Mott semiconductor Hao, Lin; Wang, Zhentao; Yang, Junyi Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13271-6	journal	November 2019
Anomalous magnetoresistance due to longitudinal spin fluctuations in a Jeff = 1/2 Mott semiconductor Hao, Lin; Wang, Zhentao; Yang, Junyi Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13271-6	journal	November 2019
Strange Metal in Magic-Angle Graphene with near Planckian Dissipation Cao, Yuan; Chowdhury, Debanjan; Rodan-Legrain, Daniel Physical Review Letters, Vol. 124, Issue 7 https://doi.org/10.1103/physrevlett.124.076801	journal	February 2020
The Quest for High(er) Tc in BaBiO3-Based Heterostructures Božović, Ivan; He, Xi; Bollinger, Anthony T. Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1 https://doi.org/10.1007/s10948-019-05326-y	journal	November 2019
Coexistence of orbital and quantum critical magnetoresistance in FeSe 1 − x S x Licciardello, S.; Maksimovic, N.; Ayres, J. Physical Review Research, Vol. 1, Issue 2 https://doi.org/10.1103/physrevresearch.1.023011	journal	September 2019
Crossover of Charge Fluctuations across the Strange Metal Phase Diagram Husain, A. A.; Mitrano, M.; Rak, M. S. arXiv https://doi.org/10.48550/arxiv.1903.04038	text	January 2019
Possible scale invariant linear magnetoresistance in pyrochlore iridates Bi ₂ Ir ₂ O ₇ Chu, Jiun-Haw; Liu, Jian; Zhang, Han New Journal of Physics, Vol. 21, Issue 11 https://doi.org/10.1088/1367-2630/ab534c	journal	November 2019
Pauli-limit upper critical field of high-temperature superconductor La1.84Sr0.16CuO4 Nakamura, Daisuke; Adachi, Tadashi; Omori, Keisuke Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-52973-1	journal	November 2019
Multi-band mass enhancement towards critical doping in a pnictide superconductor Moir, Camilla Margaret; Riggs, Scott Chandler; Galvis, Jose Augusto npj Quantum Materials, Vol. 4, Issue 1 https://doi.org/10.1038/s41535-018-0144-x	journal	February 2019
Singular charge fluctuations at a magnetic quantum critical point Prochaska, L.; Li, X.; MacFarland, Dc Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.48179	text	January 2020
Anomalous Magnetoresistance due to Longitudinal Spin Fluctuations in a Jeff = 1/2 Mott Semiconductor Hao, Lin; Wang, Zhentao; Yang, Junyi arXiv https://doi.org/10.48550/arxiv.1910.13611	text	January 2019
Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa ₂ CuO _{4+ δ} Chan, Mun K.; McDonald, Ross D.; Ramshaw, B. J. Proceedings of the National Academy of Sciences, Vol. 117, Issue 18 https://doi.org/10.1073/pnas.1914166117	journal	April 2020
Planckian dissipation, minimal viscosity and the transport in cuprate strange metals Zaanen, Jan SciPost Physics, Vol. 6, Issue 5 https://doi.org/10.21468/scipostphys.6.5.061	journal	January 2019
Singular charge fluctuations at a magnetic quantum critical point Prochaska, L.; Li, X.; MacFarland, D. C. Science, Vol. 367, Issue 6475 https://doi.org/10.1126/science.aag1595	journal	January 2020
Correlation between scale-invariant normal-state resistivity and superconductivity in an electron-doped cuprate Sarkar, Tarapada; Mandal, P. R.; Poniatowski, N. R. AAAS https://doi.org/10.13016/yzjm-spaq	text	January 2019
Correlation between scale-invariant normal-state resistivity and superconductivity in an electron-doped cuprate Sarkar, Tarapada; Mandal, P. R.; Poniatowski, N. R. AAAS https://doi.org/10.13016/yzjm-spaq	text	January 2019
Crossover of Charge Fluctuations across the Strange Metal Phase Diagram Husain, Ali A.; Mitrano, Matteo; Rak, Melinda S. Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/physrevx.9.041062	journal	December 2019