Towards resolution of the Fermi surface in underdoped high-Tc superconductors

Abstract

We survey recent experimental results including quantum oscillations and complementary measurements probing the electronic structure of underdoped cuprates, and theoretical proposals to explain them. We discuss quantum oscillations measured at high magnetic fields in the underdoped cuprates that reveal a small Fermi surface section comprising quasiparticles that obey Fermi-Dirac statistics, unaccompanied by other states of comparable thermodynamic mass at the Fermi level. The location of the observed Fermi surface section at the nodes is indicated by a body of evidence including the collapse in Fermi velocity measured by quantum oscillations, which is found to be associated with the nodal density of states observed in angular resolved photoemission, the persistence of quantum oscillations down to low fields in the vortex state, the small value of density of states from heat capacity and the multiple frequency quantum oscillation pattern consistent with nodal magnetic breakdown of bilayer-split pockets. A nodal Fermi surface pocket is further consistent with the observation of a density of states at the Fermi level concentrated at the nodes in photoemission experiments, and the antinodal pseudogap observed by photoemission, optical conductivity, nuclear magnetic resonance Knight shift, as well as other complementary diffraction, transport and thermodynamic measurements. One of the possibilities considered is that the small Fermi surface pockets observed at high magnetic fields can be understood in terms of Fermi surface reconstruction by a form of small wavevector charge order, observed over long lengthscales in experiments such as nuclear magnetic resonance and x-ray scattering, potentially accompanied by an additional mechanism to gap the antinodal density of states.

33 pages, 15 figures (this version updated with new figures and additional text, as published)

References in corpus (28)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• A Phenomenological Theory of The Pseudogap State
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• The Ground State of the Pseudogap in Cuprate Superconductors
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• Planes, Chains, and Orbits: Quantum Oscillations and High Magnetic Field Heat Capacity in Underdoped YBCO
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Checkerboard charge density wave and pseudogap in high-$T_c$ cuprates
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Tl2Ba2CuO6+d Brings Spectroscopic Probes Deep Into the Overdoped Regime of the High-Tc Cuprates
• Fermi pockets and correlation effects in underdoped YBa2Cu3O6.5
• Evidence for competing magnetic instabilities in underdoped $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$
• Fermi surface pockets in ortho-II YBa${}_2$Cu${}_3$O${}_{6.5}$: the origin of quantum oscillations?
• Structural origin of apparent Fermi surface pockets in angle-resolved photoemission of Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• Quantum Oscillations in the mixed state of d-wave superconductor
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Magneto-oscillations in Underdoped Cuprates
• Quantum oscillations in antiferromagnetic conductors with small carrier pockets
• Near doping-independent pocket area from an antinodal Fermi surface instability in underdoped high temperature superconductors
• Direct observation of multiple spin zeroes in the underdoped high temperature superconductor YBa2Cu3O6+x

Cited by in corpus (123)

• Theory of Intertwined Orders in High Temperature Superconductors
• Resonant x-ray scattering studies of charge order in cuprates
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Unconventional Fermi surface in an insulating state
• 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
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Momentum-dependent charge correlations in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ superconductors probed by resonant x-ray scattering: Evidence for three competing phases
• Concepts relating magnetic interactions, intertwined electronic orders and strongly correlated superconductivity
• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas--van Alphen quantum oscillations
• Universal quantum oscillations in the underdoped cuprate superconductors
• Quantum oscillations without a Fermi surface and the anomalous de Haas-van Alphen effect
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• Quantum Oscillations in Hole-Doped Cuprates
• High-temperature charge density wave correlations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ without spin-charge locking
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Pair density wave, charge density wave and vortex in high Tc cuprates
• Dynamical charge density waves rule the phase diagram of cuprates
• Bond order instabilities in a correlated two-dimensional metal
• Cuprate superconductors as viewed through a striped lens
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Charge ordering in superconducting copper oxides
• Superconductivity in nickel based 112 systems
• Density-wave instabilities of fractionalized Fermi liquids
• Spatially Modulated Electronic Nematicity in the Three-Band Model of Cuprate Superconductors
• Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Electron scattering, charge order, and pseudogap physics in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$: An angle resolved photoemission spectroscopy study
• Intermediate Coupling Model of the Cuprates
• Charge density waves in YBa${}_2$Cu${}_3$O${}_{6.67}$ probed by resonant x-ray scattering under uniaxial compression
• Effect of magnetic field on competition between superconductivity and charge order below the pseudogap state
• Chemical potential asymmetry and quantum oscillations in insulators
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Higgs criticality in a two-dimensional metal
• Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
• Long-range order and pinning of charge-density waves in competition with superconductivity
• Quantum Oscillations from Fermi Sea
• Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates
• Lattice dynamical signature of charge density wave formation in underdoped YBa2Cu3O6+x
• Fermi Surface Reconstruction and Quantum Oscillations in Underdoped YBa${}_2$Cu${}_3$O${}_{7-x}$ Modeled in a Single Bilayer with Mirror Symmetry Broken by Charge Density Waves
• A strong coupling critique of spin fluctuation driven charge order in underdoped cuprates
• Magic gap ratio for optimally robust fermionic condensation and its implications for high-Tc superconductivity
• Polar Kerr effect from chiral-nematic charge order
• Vortices and charge order in high-T_c superconductors
• Two types of superconducting domes in unconventional superconductors
• Exactly solvable model of Fermi arcs and pseudogap
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• Quantum oscillation signatures of nodal spin-orbit coupling in underdoped bilayer high Tc cuprates
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Composite Operator Method analysis of the underdoped cuprates puzzle
• On the relationship between charge ordering and the Fermi arcs observed in underdoped high Tc superconductors
• Inverse correlation between quasiparticle mass and Tc in a cuprate high-Tc superconductor
• Quantum oscillations in a bilayer with broken mirror symmetry: a minimal model for YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• The Hubbard model beyond the two-pole approximation: a Composite Operator Method study
• Superconductivity-insensitive order at $q$~1/4 in electron doped cuprates
• Quantifying nonadiabaticity in major families of superconductors
• Spin Liquids and Pseudogap Metals in $SU(4)$ Hubbard Model in Moiré Superlattice
• Accessing the Full Superconducting Dome in Pristine YBa2Cu3O6+x Under Pressure
• 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${}_{4\pm \delta }$
• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
• The pseudogap in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ is not bounded by a line of phase transitions - thermodynamic evidence
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Hall and Seebeck coefficients from bi-directional charge density wave state in high-$T_c$ cuprates
• Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Instability towards Staggered Loop Currents in the Three-Orbital Model for Cuprate Superconductors
• Magnetic oscillations measure interlayer coupling in cuprate superconductors
• Pseudogap and (an)isotropic scattering in the fluctuating charge-density wave phase of cuprates
• Fragile charge order in the non-superconducting ground state of the underdoped high temperature superconductors
• Kinetics of excitations on the Fermi arcs in underdoped cuprates at low temperature
• Three energy scales in the superconducting state of hole-doped cuprates detected by electronic Raman scattering
• Real spin and pseudospin topologies in the noncentrosymmetric topological nodal-line semimetal CaAgAs
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Quantum oscillations in a doped Mott insulator beyond Onsager's relation
• Magnetic oscillations of in-plane conductivity in quasi-two-dimensional metals
• Nodal Landau Fermi-Liquid Quasiparticles in Overdoped La${}_{1.77}$Sr${}_{0.23}$CuO${}_4$
• Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high-$T_{\mathrm{c}}$ superconductors
• Slow quantum oscillations without fine-grained Fermi Surface Reconstruction in Cuprate Superconductors
• Exploring d-Wave Magnetism in Cuprates from Oxygen Moments
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors
• Temperature and field dependence of the intrinsic tunnelling structure in overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Magnetic oscillations in a holographic liquid
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Three-dimensional Fermi surface and small effective masses in Mo8Ga41
• The High Temperature Superconductivity in Cuprates: Physics of the Pseudogap Region
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Unlocking Quantum Control and Multi-Order Correlations via Terahertz Two-Dimensional Coherent Spectroscopy
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Observation of the Yamaji effect in a cuprate superconductor
• The number of holes contained within the Fermi surface volume in underdoped high temperature superconductors
• Raman study of the anharmonicity in YBa${}_2$Cu${}_3$O${}_x$
• The Hubbard model in strong magnetic field: Low-frequency quantum oscillations due to strong electron correlations
• Interband scattering- and nematicity-induced quantum oscillation frequency in FeSe
• Discerning electronic fingerprints of nodal and antinodal nestings and their phase coherences in doped cuprate superconductors
• Strongly correlated electron system in the magnetic field
• Low-frequency magnetic oscillations induced by strongly electron correlations
• Nonequilibrium probe of paired electron pockets in the underdoped cuprates
• Phase separation and pairing fluctuations in oxide materials
• Emergent interlayer nodal superfluidity of a dipolar fermi gas in bilayer optical lattices
• Intrinsic Hallmarks of Phonon-Induced Charge Order in Cuprates
• Quantum oscillations in non-Fermi liquids: Implications for high-temperature superconductors
• Yamaji effect and quantum oscillation in Yang-Rice-Zhang model of underdoped cuprates
• Normal state Nernst effect from bi-directional bond density wave state in high T_c cuprates
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal
• Slow Oscillations of the Transverse Magnetoresistance in HoTe3
• Intra pseudogap- and superconductivity-pair spin and charge fluctuations and underdome metal-insulator (fermion-boson)-crossover phenomena as keystones of cuprate physics
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity
• Dynamical magnetic breakdown and quantum oscillations from hot spot scattering
• Reply to Comment on "Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs"
• Field-controlled conical intersections in the vortex lattice of quasi 2D pure strongly type-II superconductors at high magnetic fields
• Density of states of the Hubbard model supplemented with the quantizing magnetic field