Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements

Abstract

The Hall coefficient R_H of the cuprate superconductor YBa2Cu3Oy was measured in magnetic fields up to 60 T for a hole concentration p from 0.078 to 0.152, in the underdoped regime. In fields large enough to suppress superconductivity, R_H(T) is seen to go from positive at high temperature to negative at low temperature, for p > 0.08. This change of sign is attributed to the emergence of an electron pocket in the Fermi surface at low temperature. At p < 0.08, the normal-state R_H(T) remains positive at all temperatures, increasing monotonically as T \to 0. We attribute the change of behaviour across p = 0.08 to a Lifshitz transition, namely a change in Fermi-surface topology occurring at a critical concentration p_L = 0.08, where the electron pocket vanishes. The loss of the high-mobility electron pocket across p_L coincides with a ten-fold drop in the conductivity at low temperature, revealed in measurements of the electrical resistivity $\rho$ at high fields, showing that the so-called metal-insulator crossover of cuprates is in fact driven by a Lifshitz transition. It also coincides with a jump in the in-plane anisotropy of $\rho$, showing that without its electron pocket the Fermi surface must have strong two-fold in-plane anisotropy. These findings are consistent with a Fermi-surface reconstruction caused by a unidirectional spin-density wave or stripe order.

16 pages, 13 figures, see associated Viewpoint: M. Vojta, Physics 4, 12 (2011)

References in corpus (29)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• A Phenomenological Theory of The Pseudogap State
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• On the thermoelectricity of correlated electrons in the zero-temperature limit
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• The Nernst effect and the boundaries of the Fermi liquid picture
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Tuning competing orders in La2-xSrxCuO4 cuprate superconductors by the application of an external magnetic field
• Enhancement of the Nernst effect by stripe order in a high-Tc superconductor
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Magnetic-field-enhanced incommensurate magnetic order in the underdoped high-temperature superconductor YBa(2)Cu(3)O(6.45)
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Intrinsic Hall response of the CuO2 planes in a chain-plane-composite system of YBa2Cu3Oy
• Quantum Phase Transition in the Normal State of High-Tc Cuprates at Optimum Doping
• Similar glassy features in the NMR response of pure and disordered La1.88Sr0.12CuO4
• Field-induced soft-mode quantum phase transition in La${}_{1.855}$Sr${}_{0.145}$CuO${}_4$
• High temperature superconductivity: from complexity to simplicity
• Total suppression of superconductivity by high magnetic fields in YBa2 Cu3O6.6
• Evidence for a quantum phase transition in electron-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ from Thermopower measurements
• Phenomenology of a-axis and b-axis charge dynamics from microwave spectroscopy of highly ordered YBa2Cu3O6.50 and YBa2Cu3O6.993
• Theory of Low-Temperature Hall Effect in Stripe--Ordered Cuprates

Cited by in corpus (54)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
• Energy gaps in high-transition temperature cuprate superconductors
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Phase competition in trisected superconducting dome
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Quantum Oscillations in Hole-Doped Cuprates
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Decrease of upper critical field with underdoping in cuprate superconductors
• Kerr effect as evidence of gyrotropic order in the cuprates
• Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
• Vortex Lattice Melting and Hc2 in underdoped YBa2Cu3Oy
• Evidence for competing magnetic instabilities in underdoped $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$
• Electronic phase separation: recent progress in the old problem
• Charge density waves and phonon-electron coupling in ZrTe${}_3$ investigated by Raman spectroscopy and first-principles calculations
• Multiscale distribution of oxygen puddles in 1/8 doped YBa2Cu3O6.67
• Nernst effect in the electron-doped cuprate superconductor PCCO: Superconducting fluctuations, upper critical field Hc2, and the origin of the Tc dome
• Restored strange metal phase through suppression of charge density waves in underdoped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals
• Charge density waves and Fermi-surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+x
• Lifshitz Transitions in the Ferromagnetic Superconductor UCoGe
• Hall effect in heavy-fermion metals
• Magnetic Lifshitz transition and its consequences in multi-band iron-based superconductors
• Quantum critical point for stripe order: An organizing principle of cuprate superconductivity
• Evidence of a critical hole concentration in underdoped YBa${}_2$Cu${}_3$O${}_y$ single crystals revealed by ${}^{63}$Cu NMR
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• Occurrence of flat bands in strongly correlated Fermi systems and high-$T_c$ superconductivity of electron-doped compounds
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Controlling charge density order in 2H-TaSe${}_2$ using a van Hove singularity
• Persistent electrical doping of Bi2Sr2CaCu2O8+x mesa structures
• Investigation of Precursor Superconducting State in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ through In-plane Optical Spectroscopy
• Two-component energy spectrum of cuprates in the pseudogap phase and its evolution with temperature and at charge ordering
• Sign Reversal of the Hall Response in a Crystalline Superconductor
• Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
• Berry Phase in Cuprate Superconductors
• High density of states in the pseudogap phase of the cuprate superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Lifshitz transition in dirty nematic superconductor
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Hall anomaly and vortex charge in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_x$
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• Enhanced Superconductivity and Electron Correlations in Intercalated ZrTe${}_3$
• Upper critical fields in high-$T_{\mathrm{c}}$ superconductors
• The magnetic susceptibility of YBa${}_2$Cu${}_3$O${}_{6+x}$ crystals: unusual Curie behavior and small contributions from charge density waves
• Pressure-Induced Enhancement of Superfluid Density in Transition Metal Dichalcogenides with and without Charge Density Wave
• Electronic properties and surface states of RbNi${}_2$Se${}_2$
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Theory of fermion condensation as an analog of the liquid-drop theory of atomic nuclei
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$
• Breakdown of the Fermi arcs in underdoped cuprates by incommensurate charge density waves
• Charge order in the Pr substituted YBa${}_2$Cu${}_3$O${}_7$ from high-field Hall effect measurements