Quantum critical scaling at the edge of Fermi liquid stability in a cuprate superconductor

Abstract

In the high temperature cuprate superconductors, the pervasiveness of anomalous electronic transport properties suggests that violation of conventional Fermi liquid behavior is closely tied to superconductivity. In other classes of unconventional superconductors, atypical transport is well correlated with proximity to a quantum critical point, but the relative importance of quantum criticality in the cuprates remains uncertain. Here we identify quantum critical scaling in the electron-doped cuprate material La2-xCexCuO4 with a line of quantum critical points that surrounds the superconducting phase as a function of magnetic field and charge doping. This zero-temperature phase boundary, which delineates a metallic Fermi liquid regime from an extended non-Fermi liquid ground state, closely follows the upper critical field of the overdoped superconducting phase and gives rise to an expanse of distinct non Fermi liquid behavior at finite temperatures. Together with signatures of two distinct flavors of quantum fluctuations, this suggests that quantum criticality plays a significant role in shaping the anomalous properties of the cuprate phase diagram.

16 pages, 3 figures + supplementary material

References in corpus (12)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Progress and perspectives on the electron-doped cuprates
• Scattering and Pairing in Cuprate Superconductors
• Evidence for a Non-Fermi-Liquid Phase in Ge-Substituted YbRh2Si2
• Where is the quantum critical point in the cuprate superconductors?
• Evolution of critical scaling behavior near a ferromagnetic quantum phase transition
• Superconductor-to-Metal Quantum Phase Transition in Overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$
• Evidence for Antiferromagnetic Order in La${}_{2-x}$Ce${}_x$CuO${}_4$ from Angular Magnetoresistance Measurements
• Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Entropy accumulation near quantum critical points: effects beyond hyperscaling
• Non-perturbative microscopic theory of superconducting fluctuations near a quantum critical point

Cited by in corpus (31)

• Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
• Magnetoresistance near a quantum critical point
• The Strange Metal State of the Electron-Doped Cuprates
• Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram
• Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order
• Non-Fermi liquid behavior in a correlated flatband pyrochlore lattice
• Correlation between Fermi surface transformations and superconductivity in the electron-doped high-$T_c$ superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Quantum-critical pairing in electron-doped cuprates
• Carrier density independent scattering rate in SrTiO3-based electron liquids
• Ferromagnetic order beyond the superconducting dome in a cuprate superconductor
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
• Anomalous quantum criticality in the electron-doped cuprates
• Transport anomalies and quantum criticality in electron-doped cuprate superconductors
• Shubnikov-de Haas quantum oscilations reveal a reconstructed Fermi surface near optimal doping in a thin film of the cuprate superconductor Pr${}_{1.86}$Ce${}_{0.14}$CuO${}_{4\pm \delta }$
• Combinatorial Laser Molecular Beam Epitaxy System Integrated with Specialized Low-temperature Scanning Tunneling Microscopy
• Quantum oscillations from the reconstructed Fermi surface in electron-doped cuprate superconductors
• Local magnetism, magnetic order and spin freezing in the 'nonmetallic metal' FeCrAs
• s- and d-wave superconductivity in a two-band model
• Bosonic excitations and electron pairing in an electron-doped cuprate superconductor
• Quantum critical quasiparticle scattering within the superconducting state of CeCoIn5
• Quantum oscillations suggest hidden quantum phase transition in the cuprate superconductor Pr${}_2$CuO${}_{4\pm \delta }$
• Extended strange metal regime from superconducting puddles
• Interference of quantum critical excitations and soft diffusive modes in a disordered antiferromagnetic metal
• Heat transport study of field-tuned quantum criticality in CeIrIn5
• Influence of the symmetry of the hybridization on the critical temperature of multi-band superconductors
• Transport anomalies in multiband superconductors near quantum critical point
• Fermi liquid behaviour in weakly disordered metals close to a quantum critical point
• A conducting nano-filament (CNF) network as a precursor to the origin of superconductivity in electron-doped copper oxides
• Conductivity of weakly disordered metals close to a "ferromagnetic" quantum critical point
• Dynamical $t/U$ Expansion of the Doped Hubbard Model
• A close look at antiferromagnetism in multidimensional phase diagram of electron-doped copper oxide