Hall effect in quantum critical charge-cluster glass

Wu, Jie; Bollinger, Anthony T.; Sun, Yujie; Božović, Ivan

doi:10.1073/pnas.1519630113

Title: Hall effect in quantum critical charge-cluster glass

Journal Article · Mon Apr 04 00:00:00 EDT 2016 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.1519630113· OSTI ID:1245494

Wu, Jie ^[1]; Bollinger, Anthony T. ^[1]; Sun, Yujie ^[2]; Božović, Ivan ^[3]

Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory, Upton, NY 11973-5000,
Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory, Upton, NY 11973-5000,, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China,
Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory, Upton, NY 11973-5000,, Applied Physics Department, Yale University, New Haven CT 06520

Upon doping, cuprates undergo a quantum phase transition from an insulator to a d-wave superconductor. The nature of this transition and of the insulating state is vividly debated. Here, we study the Hall effect in La_2-xSr_xCuO₄ (LSCO) samples doped near the quantum critical point at x ≈ 0.06. Dramatic fluctuations in the Hall resistance appear below T_CG ≈ 1.5 K and increase as the sample is cooled down further, signaling quantum critical behavior. We explore the doping dependence of this effect in detail, by studying a combinatorial LSCO library in which the Sr content is varied in extremely fine steps, Δx ≈ 0.00008. Furthermore, we observe that quantum charge fluctuations wash out when superconductivity emerges but can be restored when the latter is suppressed by applying a magnetic field, showing that the two instabilities compete for the ground state.

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

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

Grant/Contract Number:: MA-509-MACA; SC00112704

OSTI ID:: 1245494

Alternate ID(s):: OSTI ID: 1245404

Report Number(s):: BNL-112017-2016-JA

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Vol. 113 Journal Issue: 16; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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References (54)

Normal-state Hall effect and the insulating resistivity of high- $T_{c}$ cuprates at low temperatures Ando, Yoichi; Boebinger, G. S.; Passner, A. Physical Review B, Vol. 56, Issue 14 https://doi.org/10.1103/PhysRevB.56.R8530	journal	October 1997
Evidence for Charge Glasslike Behavior in Lightly Doped ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ at Low Temperatures Raičević, I.; Jaroszyński, J.; Popović, Dragana Physical Review Letters, Vol. 101, Issue 17 https://doi.org/10.1103/PhysRevLett.101.177004	journal	October 2008
Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates da Silva Neto, E. H.; Aynajian, P.; Frano, A. Science, Vol. 343, Issue 6169 https://doi.org/10.1126/science.1243479	journal	December 2013
High-field studies of superconducting fluctuations in high- $T_{c}$ cuprates: Evidence for a small gap distinct from the large pseudogap Rullier-Albenque, F.; Alloul, H.; Rikken, G. Physical Review B, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevB.84.014522	journal	July 2011
Presence of quantum diffusion in two dimensions: Universal resistance at the superconductor-insulator transition Fisher, Matthew P. A.; Grinstein, G.; Girvin, S. M. Physical Review Letters, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevLett.64.587	journal	January 1990
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II ${YBa}_{2} {Cu}_{3} O_{6.54}$ Single Crystals in Zero Magnetic Field Blackburn, E.; Chang, J.; Hücker, M. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.137004	journal	March 2013
Spin-glass state of individual magnetic vortices in $Y {Ba}_{2} {Cu}_{3} O_{y}$ and ${La}_{2 - x} {Sr}_{x} Cu O_{4}$ below the metal-to-insulator crossover Sonier, J. E.; Callaghan, F. D.; Ando, Yoichi Physical Review B, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevB.76.064522	journal	August 2007
Thermodynamic phase diagram of static charge order in underdoped YBa2Cu3Oy LeBoeuf, David; Krämer, S.; Hardy, W. N. Nature Physics, Vol. 9, Issue 2 https://doi.org/10.1038/nphys2502	journal	December 2012
Vortices in high-temperature superconductors Blatter, G.; Feigel'man, M. V.; Geshkenbein, V. B. Reviews of Modern Physics, Vol. 66, Issue 4 https://doi.org/10.1103/RevModPhys.66.1125	journal	October 1994
Emergence of charge order from the vortex state of a high-temperature superconductor Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3113	journal	July 2013
A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+delta Hoffman, J. E. Science, Vol. 295, Issue 5554 https://doi.org/10.1126/science.1066974	journal	January 2002
Diamagnetism of YBa $_{2}$ Cu $_{3}$ O $_{6 + x}$ crystals above $T_{c}$ : Evidence for Gaussian fluctuations Kokanović, I.; Hills, D. J.; Sutherland, M. L. Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.060505	journal	August 2013
Superconductor–insulator transition in La2 − xSr x CuO4 at the pair quantum resistance Bollinger, A. T.; Dubuis, G.; Yoon, J. Nature, Vol. 472, Issue 7344 https://doi.org/10.1038/nature09998	journal	April 2011
Decrease of upper critical field with underdoping in cuprate superconductors Chang, J.; Doiron-Leyraud, N.; Cyr-Choinière, O. Nature Physics, Vol. 8, Issue 10 https://doi.org/10.1038/nphys2380	journal	August 2012
Emergence of superconductivity from the dynamically heterogeneous insulating state in La2−xSrxCuO4 Shi, Xiaoyan; Logvenov, G.; Bollinger, A. T. Nature Materials, Vol. 12, Issue 1 https://doi.org/10.1038/nmat3487	journal	November 2012
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates Kohsaka, Y.; Taylor, C.; Fujita, K. Science, Vol. 315, Issue 5817 https://doi.org/10.1126/science.1138584	journal	March 2007
Temporal correlations of superconductivity above the transition temperature in La2−xSrxCuO4 probed by terahertz spectroscopy Bilbro, L. S.; Aguilar, R. Valdés; Logvenov, G. Nature Physics, Vol. 7, Issue 4 https://doi.org/10.1038/nphys1912	journal	February 2011
Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation Le Tacon, M.; Bosak, A.; Souliou, S. M. Nature Physics, Vol. 10, Issue 1 https://doi.org/10.1038/nphys2805	journal	November 2013
Surface-enhanced charge-density-wave instability in underdoped Bi2Sr2-xLaxCuO6+δ Rosen, J. A.; Comin, R.; Levy, G. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2977	journal	July 2013
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
Experimental evidence for a first-order vortex-lattice-melting transition in untwinned, single crystal ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ Safar, H.; Gammel, P. L.; Huse, D. A. Physical Review Letters, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevLett.69.824	journal	August 1992
Charge Segregation, Cluster Spin Glass, and Superconductivity in ${La}_{1.94} {Sr}_{0.06} {CuO}_{4}$ Julien, M. -H.; Borsa, F.; Carretta, P. Physical Review Letters, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevLett.83.604	journal	July 1999
Metal-to-Insulator Crossover in the Low-Temperature Normal State of ${{Bi}_{2} Sr}_{2 - x} {La}_{x} {CuO}_{6 + δ}$ Ono, S.; Ando, Yoichi; Murayama, T. Physical Review Letters, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevLett.85.638	journal	July 2000
Combinatorial measurements of Hall effect and resistivity in oxide films Clayhold, J. A.; Kerns, B. M.; Schroer, M. D. Review of Scientific Instruments, Vol. 79, Issue 3 https://doi.org/10.1063/1.2901622	journal	March 2008
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
Fluctuating charge-density waves in a cuprate superconductor Torchinsky, Darius H.; Mahmood, Fahad; Bollinger, Anthony T. Nature Materials, Vol. 12, Issue 5 https://doi.org/10.1038/nmat3571	journal	February 2013
Electrostatic Control of the Evolution from a Superconducting Phase to an Insulating Phase in Ultrathin ${YBa}_{2} {Cu}_{3} O_{7 - x}$ Films Leng, Xiang; Garcia-Barriocanal, Javier; Bose, Shameek Physical Review Letters, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevLett.107.027001	journal	July 2011
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
Quantum phase transitions in disordered two-dimensional superconductors Fisher, Matthew P. A. Physical Review Letters, Vol. 65, Issue 7 https://doi.org/10.1103/PhysRevLett.65.923	journal	August 1990
Checkerboard charge density wave and pseudogap of high- $T_{c}$ cuprate Li, Jian-Xin; Wu, Chang-Qin; Lee, Dung-Hai Physical Review B, Vol. 74, Issue 18 https://doi.org/10.1103/PhysRevB.74.184515	journal	November 2006
Superconductor–insulator quantum phase transition Gantmakher, Vsevolod F.; Dolgopolov, Valery T. Physics-Uspekhi, Vol. 53, Issue 1 https://doi.org/10.3367/UFNe.0180.201001a.0003	journal	January 2010
Anomalous independence of interface superconductivity from carrier density Wu, J.; Pelleg, O.; Logvenov, G. Nature Materials, Vol. 12, Issue 10 https://doi.org/10.1038/nmat3719	journal	August 2013
Phase-fluctuating superconductivity in overdoped La2−xSrxCuO4 Rourke, Patrick M. C.; Mouzopoulou, Ioanna; Xu, Xiaofeng Nature Physics, Vol. 7, Issue 6 https://doi.org/10.1038/nphys1945	journal	March 2011
Low-temperature vortex liquid in La2−xSrxCuO4 Li, Lu; Checkelsky, J. G.; Komiya, Seiki Nature Physics, Vol. 3, Issue 5 https://doi.org/10.1038/nphys563	journal	March 2007
Scaling of the temperature dependent Hall effect in ${La}_{2 - x}$ ${Sr}_{x}$ ${CuO}_{4}$ Hwang, H. Y.; Batlogg, B.; Takagi, H. Physical Review Letters, Vol. 72, Issue 16 https://doi.org/10.1103/PhysRevLett.72.2636	journal	April 1994
Duality and the vibrational modes of a Cooper-pair Wigner crystal Pereg-Barnea, T.; Franz, M. Physical Review B, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevB.74.014518	journal	July 2006
Antiferromagnetism and Hole Pair Checkerboard in the Vortex State of High $T_{c}$ Superconductors Chen, Han-Dong; Hu, Jiang-Ping; Capponi, Sylvain Physical Review Letters, Vol. 89, Issue 13 https://doi.org/10.1103/PhysRevLett.89.137004	journal	September 2002
Visualization of the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator Kohsaka, Y.; Hanaguri, T.; Azuma, M. Nature Physics, Vol. 8, Issue 7 https://doi.org/10.1038/nphys2321	journal	May 2012
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
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x Ghiringhelli, G.; Le Tacon, M.; Minola, M. Science, Vol. 337, Issue 6096 https://doi.org/10.1126/science.1223532	journal	July 2012
Charge Modulation, Spin Response, and Dual Hofstadter Butterfly in High- $T_{c}$ Cuprates Tešanović, Zlatko Physical Review Letters, Vol. 93, Issue 21 https://doi.org/10.1103/PhysRevLett.93.217004	journal	November 2004
A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2 Hanaguri, T.; Lupien, C.; Kohsaka, Y. Nature, Vol. 430, Issue 7003 https://doi.org/10.1038/nature02861	journal	August 2004
Magnetic phase diagram of low-doped La $_{2 - x}$ Sr $_{x}$ CuO $_{4}$ thin films studied by low-energy muon-spin rotation Stilp, E.; Suter, A.; Prokscha, T. Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.064419	journal	August 2013
Electronic spin susceptibilities and superconductivity in ${HgBa}_{2} {CuO}_{4 + δ}$ from nuclear magnetic resonance Rybicki, Damian; Kohlrautz, Jonas; Haase, Jürgen Physical Review B, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevB.92.081115	journal	August 2015
Doping a Mott insulator: Physics of high-temperature superconductivity Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.17	journal	January 2006
Momentum-Dependent Charge Correlations in ${YBa}_{2} {Cu}_{3} O_{6 + δ}$ Superconductors Probed by Resonant X-Ray Scattering: Evidence for Three Competing Phases Blanco-Canosa, S.; Frano, A.; Loew, T. Physical Review Letters, Vol. 110, Issue 18 https://doi.org/10.1103/PhysRevLett.110.187001	journal	May 2013
Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. Nature Physics, Vol. 5, Issue 11 https://doi.org/10.1038/nphys1389	journal	September 2009
Pair Density Wave in the Pseudogap State of High Temperature Superconductors Chen, Han-Dong; Vafek, Oskar; Yazdani, Ali Physical Review Letters, Vol. 93, Issue 18 https://doi.org/10.1103/PhysRevLett.93.187002	journal	October 2004
Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy Wise, W. D.; Boyer, M. C.; Chatterjee, Kamalesh Nature Physics, Vol. 4, Issue 9 https://doi.org/10.1038/nphys1021	journal	July 2008
Unusual Magnetic Susceptibility Anisotropy in Untwinned ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ Single Crystals in the Lightly Doped Region Lavrov, A. N.; Ando, Yoichi; Komiya, Seiki Physical Review Letters, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevLett.87.017007	journal	June 2001
Thermodynamic observation of first-order vortex-lattice melting transition in Bi2Sr2CaCu2O8 Zeldov, E.; Majer, D.; Konczykowski, M. Nature, Vol. 375, Issue 6530 https://doi.org/10.1038/375373a0	journal	June 1995
Superconductor‐Insulator Transitions in the Two‐Dimensional Limit Goldman, Allen M.; Marković, Nina Physics Today, Vol. 51, Issue 11 https://doi.org/10.1063/1.882069	journal	November 1998
Local Ordering in the Pseudogap State of the High-Tc Superconductor Bi2Sr2CaCu2O8+ Vershinin, M. Science, Vol. 303, Issue 5666 https://doi.org/10.1126/science.1093384	journal	March 2004
Muon-Spin Rotation Measurements of an Unusual Vortex-Glass Phase in the Layered Superconductor ${Bi}_{2.15} {Sr}_{1.85} {CaCu}_{2} O_{8 + δ}$ Heron, D. O. G.; Ray, S. J.; Lister, S. J. Physical Review Letters, Vol. 110, Issue 10 https://doi.org/10.1103/PhysRevLett.110.107004	journal	March 2013

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75 CONDENSED MATTER PHYSICS
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high temperature superconductors
charge glass
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quantum fluctuations
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Title: Hall effect in quantum critical charge-cluster glass

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