Superconducting 2D cuprate with a single CuO2 plane

Data availabilityThe datasets generated and analysed during the current study are available from the corresponding authors upon request.ReferencesNovoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005).Article ADS CAS PubMed Google Scholar Zhang, Y., Tan, Y., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry’s phase in graphene. Nature 438, 201–204 (2005).Article ADS CAS PubMed Google Scholar Yu, Y. et al. High-temperature superconductivity in monolayer Bi2Sr2CaCu2O8+δ. Nature 575, 156–163 (2019).Article ADS CAS PubMed Google Scholar Bednorz, J. G. & Müller, K. A. Possible high Tc superconductivity in the Ba–La–Cu–O system. Z. Phys. B 64, 189–193 (1986).Article ADS CAS Google Scholar Kamihara, Y., Watanabe, T., Hirano, M. & Hosono, H. Iron-based layered superconductor La[O1−xFx]FeAs (x = 0.05–0.12) with Tc = 26 K. J. Am. Chem. Soc. 130, 3296–3297 (2008).Article ADS CAS PubMed Google Scholar Li, D. et al. Superconductivity in an infinite-layer nickelate. Nature 572, 624–627 (2019).Article ADS CAS PubMed Google Scholar Mermin, N. D. & Wagner, H. Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic Heisenberg models. Phys. Rev. Lett. 17, 1133 (1966).Article ADS CAS Google Scholar Kosterlitz, J. M. & Thouless, D. J. Ordering, metastability and phase transitions in two-dimensional systems. J. Phys. C 6, 1181 (1973).Article ADS CAS Google Scholar Jiang, D. et al. High-Tc superconductivity in ultrathin Bi2Sr2CaCu2O8+x down to half-unit-cell thickness by protection with graphene. Nat. Commun. 5, 5708 (2014).Article ADS CAS PubMed Google Scholar Sterpetti, E., Biscaras, J., Erb, A. & Shukla, A. Comprehensive phase diagram of two-dimensional space charge doped Bi2Sr2CaCu2O8+x. Nat. Commun. 8, 2060 (2017).Article ADS PubMed PubMed Central Google Scholar Liao, M. et al. Superconductor–insulator transitions in exfoliated Bi2Sr2CaCu2O8+δ flakes. Nano Lett. 18, 5660–5665 (2018).Article ADS CAS PubMed Google Scholar Zhao, S. F. et al. Sign-reversing Hall effect in atomically thin high-temperature Bi2.1Sr1.9CaCu2.0O8+δ superconductors. Phys. Rev. Lett. 122, 247001 (2019).Article ADS CAS PubMed Google Scholar Pickett, W. E. Electronic structure of the high-temperature oxide superconductors. Rev. Mod. Phys. 61, 433 (1989).Article ADS CAS Google Scholar Feng, D. L. et al. Bilayer splitting in the electronic structure of heavily overdoped Bi2Sr2CaCu2O8+δ. Phys. Rev. Lett. 86, 5550 (2001).Article ADS CAS PubMed Google Scholar Chuang, Y. et al. Doubling of the bands in overdoped Bi2Sr2CaCu2O8+δ: evidence for c-axis bilayer coupling. Phys. Rev. Lett. 87, 117002 (2001).Article ADS CAS PubMed Google Scholar Bogdanov, P. V. et al. Photoemission study of Pb doped Bi2Sr2CaCu2O8: a Fermi surface picture. Phys. Rev. B 64, 180505 (2001).Article ADS Google Scholar Luo, X. et al. Electronic origin of high superconducting critical temperature in trilayer cuprates. Nat. Phys. 19, 1841–1847 (2023).Fujita, K. et al. Effect of disorder outside the CuO2 planes on Tc of copper oxide superconductors. Phys. Rev. Lett. 95, 97006 (2005).Article ADS CAS Google Scholar Boyer, M. C. et al. Imaging the two gaps of the high-temperature superconductor Bi2Sr2CuO6+x. Nat. Phys. 3, 802–806 (2007).Article CAS Google Scholar He, Y. et al. Fermi surface and pseudogap evolution in a cuprate superconductor. Science 344, 608–611 (2014).Article ADS CAS PubMed Google Scholar Webb, T. A. et al. Density wave probes cuprate quantum phase transition. Phys. Rev. X 9, 21021 (2019).CAS Google Scholar Bollinger, A. T. et al. Superconductor–insulator transition in La2−xSrxCuO4 at the pair quantum resistance. Nature 472, 458–460 (2011).Article ADS CAS PubMed Google Scholar Leng, X. et al. Electrostatic control of the evolution from a superconducting phase to an insulating phase in ultrathin YBa2Cu3O7−x films. Phys. Rev. Lett. 107, 27001 (2011).Article ADS Google Scholar Konstantinovi C, Z., Li, Z. Z. & Raffy, H. Temperature dependence of the Hall effect in single-layer and bilayer Bi2Sr2Can−1CunOy thin films at various oxygen contents. Phys. Rev. B 62, R11989 (2000).Article ADS CAS Google Scholar Kleiner, R. & Müller, P. Intrinsic Josephson effects in high-Tc superconductors. Phys. Rev. B 49, 1327 (1994).Article ADS CAS Google Scholar Wan, Y. M., Hebboul, S. E., Harris, D. C. & Garland, J. C. Interlayer Josephson coupling of thermally excited vortices in Bi2Sr2CaCu2O8−y. Phys. Rev. Lett. 71, 157 (1993).Article ADS CAS PubMed Google Scholar Locquet, J. et al. Doubling the critical temperature of La1. 9Sr0. 1CuO4 using epitaxial strain. Nature 394, 453–456 (1998).Article ADS CAS Google Scholar Fratini, M. et al. Scale-free structural organization of oxygen interstitials in La2CuO4+y. Nature 466, 841–844 (2010).Article ADS CAS PubMed Google Scholar Poccia, N. et al. Spatially correlated incommensurate lattice modulations in an atomically thin high-temperature Bi2.1Sr1.9CaCu2.0O8+y superconductor. Phys. Rev. Mater. 4, 114007 (2020).Article CAS Google Scholar Sacépé, B., Feigel Man, M. & Klapwijk, T. M. Quantum breakdown of superconductivity in low-dimensional materials. Nat. Phys. 16, 734–746 (2020).Article Google Scholar Lin, Y., Nelson, J. & Goldman, A. M. Superconductivity of very thin films: the superconductor–insulator transition. Physica C 514, 130–141 (2015).Article ADS CAS Google Scholar Sondhi, S. L., Girvin, S. M., Carini, J. P. & Shahar, D. Continuous quantum phase transitions. Rev. Mod. Phys. 69, 315 (1997).Article ADS Google Scholar Garcia-Barriocanal, J. et al. Electronically driven superconductor–insulator transition in electrostatically doped La2CuO4+δ thin films. Phys. Rev. B 87, 24509 (2013).Article ADS Google Scholar Xing, Y. et al. Quantum Griffiths singularity of superconductor–metal transition in Ga thin films. Science 350, 542–545 (2015).Article ADS MathSciNet CAS PubMed Google Scholar Phillabaum, B., Carlson, E. W. & Dahmen, K. A. Spatial complexity due to bulk electronic nematicity in a superconducting underdoped cuprate. Nat. Commun. 3, 915 (2012).Article ADS CAS PubMed Google Scholar Del Maestro, A., Rosenow, B., M U Ller, M. & Sachdev, S. Infinite randomness fixed point of the superconductor–metal quantum phase transition. Phys. Rev. Lett. 101, 35701 (2008).Article Google Scholar Hoyos, J. A., Kotabage, C. & Vojta, T. Effects of dissipation on a quantum critical point with disorder. Phys. Rev. Lett. 99, 230601 (2007).Article ADS PubMed Google Scholar Vojta, T., Farquhar, A. & Mast, J. Infinite-randomness critical point in the two-dimensional disordered contact process. Phys. Rev. E 79, 11111 (2009).Article ADS Google Scholar Wang, Z., Liu, Y., Ji, C. & Wang, J. Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress. Rep. Prog. Phys. 87, 14502 (2024).Article ADS Google Scholar Saito, Y., Nojima, T. & Iwasa, Y. Highly crystalline 2D superconductors. Nat. Rev. Mater. 2, 16094 (2017).Liu, S. et al. Three-dimensional quantum Griffiths singularity in bulk iron-pnictide superconductors. Natl Sci. Rev. 11, nwae220 (2024).Article CAS PubMed PubMed Central Google Scholar Zhao, Q. et al. Isotropic quantum Griffiths singularity in Nd0.8Sr0.2NiO2 infinite-layer superconducting thin films. Phys. Rev. Lett. 133, 36003 (2024).Article ADS CAS Google Scholar Liu, Y. et al. Anomalous quantum Griffiths singularity in ultrathin crystalline lead films. Nat. Commun. 10, 3633 (2019).Article ADS PubMed PubMed Central Google Scholar Gotlieb, K. et al. Revealing hidden spin-momentum locking in a high-temperature cuprate superconductor. Science 362, 1271–1275 (2018).Article ADS CAS PubMed Google Scholar Kapitulnik, A., Kivelson, S. A. & Spivak, B. Colloquium: anomalous metals: failed superconductors. Rev. Mod. Phys. 91, 11002 (2019).Article ADS MathSciNet CAS Google Scholar Zhang, X., Palevski, A. & Kapitulnik, A. Anomalous metals: from “failed superconductor” to “failed insulator”. Proc. Natl Acad. Sci. USA 119, e2092471177 (2022). Google Scholar Fisher, M. P. Quantum phase transitions in disordered two-dimensional superconductors. Phys. Rev. Lett. 65, 923 (1990).Article ADS CAS PubMed Google Scholar Phillips, P. & Dalidovich, D. The elusive Bose metal. Science 302, 243–247 (2003).Article ADS CAS PubMed Google Scholar Das, D. & Doniach, S. Bose metal: gauge-field fluctuations and scaling for field-tuned quantum phase transitions. Phys. Rev. B 64, 134511 (2001).Article ADS Google Scholar Li, L. et al. Anomalous quantum metal in a 2D crystalline superconductor with electronic phase nonuniformity. Nano Lett. 19, 4126–4133 (2019).Article ADS CAS PubMed Google Scholar Ye, P., Tian, C., Qi, X. & Weng, Z. Confinement-deconfinement interplay in quantum phases of doped Mott insulators. Phys. Rev. Lett. 106, 147002 (2011).Article ADS PubMed Google Scholar Kou, S. & Weng, Z. Topological gauge structure and phase diagram for weakly doped antiferromagnets. Phys. Rev. Lett. 90, 157003 (2003).Article ADS PubMed Google Scholar Spivak, B., Oreto, P. & Kivelson, S. A. Theory of quantum metal to superconductor transitions in highly conducting systems. Phys. Rev. B 77, 214523 (2008).Article ADS Google Scholar Kohsaka, Y. et al. An intrinsic bond-centered electronic glass with unidirectional domains in underdoped cuprates. Science 315, 1380–1385 (2007).Article ADS CAS PubMed Google Scholar Fujita, K. et al. Spectroscopic imaging scanning tunneling microscopy studies of electronic structure in the superconducting and pseudogap phases of cuprate high-Tc superconductors. J. Phys. Soc. Jpn 81, 11005 (2011).Article Google Scholar Fujita, K. et al. Simultaneous transitions in cuprate momentum-space topology and electronic symmetry breaking. Science 344, 612–616 (2014).Article ADS CAS PubMed Google Scholar