The Unusual Superconducting State of Underdoped Cuprates

Abstract

There is increasing experimental evidence that the superconducting energy gap ${\Delta }_0$ in the underdoped cuprates is independent of doping concentration $x$ while the superfluid density is linear in $x$. We show that under these conditions, thermal excitation of the quasiparticles is very effective in destroying the superconducting state, so that $T_c$ is proportional to $x{\Delta }_0$ and part of the gap structure remains in the normal state. We then estimate $H_{c2}$ and predict it to be proportional to $x^2$. We also discuss to what extent the assumptions that go into the quasiparticle description can be derived in the U(1) and SU(2) formulations of the t-J model.

4 pages RevTeX

Cited by in corpus (156)

• The pseudogap in high-temperature superconductors: an experimental survey
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Magnetic Penetration Depth in Unconventional Superconductors
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Superconducting Gap Anisotropy and Quasiparticle Interactions: a Doping Dependent ARPES Study
• Magnetic Induction of d + i d Order in High-Tc Superconductors
• Photoemission Evidence for a Remnant Fermi Surface and d-Wave-Like Dispersion in Insulating Ca2CuO2Cl2
• Phase Fluctuations and Pseudogap Phenomena
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Projected Wavefunctions and High Temperature Superconductivity
• Truncation of a 2-dimensional Fermi surface due to quasiparticle gap formation at the saddle points
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Phase Fluctuations and Spectral Properties of Underdoped Cuprates
• Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
• Pairing Fluctuation Theory of Superconducting Properties in Underdoped to Overdoped Cuprates
• The high-field phase diagram of the cuprates derived from the Nernst effect
• The connection between superconducting phase correlations and spin excitations in YBa${}_2$Cu${}_3$O${}_{6.6}$: A magnetic field study
• Coherent quasiparticle weight and its connection to high-T_c superconductivity from angle-resolved photoemission
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Doped t-J Model on a Triangular Lattice: Possible Application to Na${}_x$CoO${}_2\cdot y$H${}_2$0 and Na${}_{1-x}$TiO${}_2$
• The superfluid density in cuprate high-Tc superconductors - a new paradigm
• Evolution of Magnetic and Superconducting Fluctuations with Doping of High-Tc Superconductors
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Algebraic charge liquids
• Pseudogap, Superconducting Gap, and Fermi Arc in High-Tc Cuprates Revealed by Angle-Resolved Photoemission Spectroscopy
• Quasiparticle transport in the vortex state of YBa_2Cu_3O_6.9
• Theory of Quasi-Particles in the Underdoped High Tc Superconducting State
• Pseudogap above Tc in a model with d_{x^2-y^2} pairing
• Interplay between superconductivity and flux phase in the t-J model
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• The effect of phase fluctuations on the single-particle properties of the underdoped cuprates
• Ginzburg-Landau theory of superconductors with short coherence length
• Quasiparticle thermal conductivity in the vortex state of high-T${}_c$ cuprates
• Absolute values of the London penetration depth in YBa2Cu3O6+y measured by zero field ESR spectroscopy on Gd doped single crystals
• Superconducting transitions from the pseudogap state: d-wave symmetry, lattice, and low-dimensional effects
• Pseudogaps in Underdoped Cuprates
• Nernst effect and diamagnetism in phase fluctuating superconductors
• Pair Excitations, Collective Modes and Gauge Invariance in the BCS -- Bose-Einstein Crossover Scenario
• Anomalous Charge Dynamics in the Superconducting State of Underdoped Cuprates
• Systematic behaviour of the in-plane penetration depth in d-wave cuprates
• Vortex Structure in Underdoped Cuprates
• The low-energy phase-only action in a superconductor: a comparison with the XY model
• Electronic Specific Heat of La_{2-x}Sr_{x}CuO_{4}: Pseudogap Formation and Reduction of the Superconducting Condensation Energy
• Pairing fluctuations and pseudogaps in the attractive Hubbard model
• Phase fluctuations, dissipation and superfluid stiffness in d-wave superconductors
• The Cuprate Pseudogap: Competing Order Parameters or Precursor Superconductivity
• A synthesis of the phenomenology of the underdoped cuprates
• Superconducting phase coherence in the presence of a pseudogap: Relation to specific heat, tunneling and vortex core spectroscopies
• Superconductivity in a doped Mott insulator
• Pairing symmetry of twisted bilayer graphene: a phenomenological synthesis
• Survival of the d-wave superconducting state near the edge of antiferromagnetism in the cuprate phase diagram
• Quasiparticle thermal Hall angle and magnetoconductance in YBa_2Cu_3O_x
• Unusual thermodynamical and transport signatures of short coherence length superconductors: A BCS Bose-Einstein crossover approach
• D-wave superconductivity in doped Mott insulators
• Evolution of the Fermi surface in phase fluctuating d-wave superconductors
• Absence of U(1) spin liquids in two dimensions
• Pseudogap Formation in an Electronic System with d-wave Attraction at Low-density
• Applying BCS-BEC Crossover Theory To High Temperature Superconductors and Ultracold Atomic Fermi Gases
• 4D-XY quantum criticality in a doped Mott insulator
• Pseudogap, Superconducting Energy Scale, and Fermi Arcs in Underdoped Cuprate Superconductors
• Theoretical investigation of superconductivity in trilayer square-planar nickelates
• Low energy physical properties of high-Tc superconducting Cu oxides: A comparison between the resonating valence bond and experiments
• Nodal Protectorate: A Unified Theory of the ab-plane and c-axis Penetration Depths of Underdoped cuprates
• Increasing d-wave superconductivity by on site repulsion
• Effect of pseudogap formation on the penetration depth of underdoped high $T_c$ cuprates
• Parity breaking and phase transition induced by a magnetic field in high $T_c$ superconductors
• Andreev reflections in the pseudogap state of cuprate supercondcutors
• An energy scale directly related to superconductivity in the high-$T_c$ cuprate superconductors: Universality from the Fermi arc picture
• c-Axis Superfluid Response and Pseudogap in High-Tc Superconductors
• The Superfluid Density in the D-density-wave Scenario
• Dispersion of Ordered Stripe Phases in the Cuprates
• Optimal T${}_c$ of cuprates: role of screening and reservoir layers
• Microscopic phase separation in the overdoped region of high-Tc cuprate superconductors
• Twin spin/charge roton mode and superfluid density: primary determining factors of $T_c$ in high-$T_c$ superconductors observed by neutron, ARPES, and $\mu$SR
• Coherence length in superconductors from weak to strong coupling
• Coherence and pairing in a doped Mott insulator: Application to the cuprates
• Effects of out-of-plane disorder on the nodal quasiparticle and superconducting gap in single-layer Bi${}_2$Sr${}_{1.6}L{n}_{0.4}$CuO${}_{6+\delta }$ ($Ln$ = La, Nd, Gd)
• Vortex state in a doped Mott insulator
• Electrostatic Modulation of the Superfluid Density in a Ultrathin La2-xSrxCuO4 Film
• A Variational Monte Carlo Study of the Current Carried by a Quasiparticle
• Doping dependence of the superconducting gap in Bi2Sr2CaCu2O{8 + delta}
• Staggered-flux normal state in the weakly doped t-J model
• Spin-polarized quasiparticle transport in cuprate superconductors
• Big, Fast Vortices in the d-RVB theory of High Temperature Superconductivity
• Strong thermal fluctuations in cuprate superconductors in magnetic field above Tc
• Suppression of superconductivity at nematic critical point in underdoped cuprates
• Instability of a Landau Fermi liquid as the Mott insulator is approached
• Low energy collective modes, Ginzburg-Landau theory, and pseudogap behavior in superconductors with long-range pairing interactions
• Magnetic Field Effects in the Pseudogap Phase: A Competing Energy Gap Scenario for Precursor Superconductivity
• Superfluid density in the underdoped YBa_2Cu_3O_{7-x}: Evidence for d-density wave order of pseudogap
• Enhancement of the superconducting transition temperature in cuprate heterostructures
• Incoherent Pair Tunneling as a Probe of the Cuprate Pseudogap
• Superfluid stiffness in cuprates: Effect of Mott transition and phase competition
• Low Frequency Nonlinear Magnetic Response of an Unconventional Superconductor
• Hubbard Model on Decorated Lattices
• Microwave Conductivity due to Scattering from Extended Linear Defects in d-Wave Superconductors
• Phase fluctuations in superconductors: from Galilean invariant to quantum XY models
• Finite temperature superfluid density in very underdoped cuprates
• Velocity renormalization of nodal quasiparticles in d-wave superconductors
• Ultrasonic attenuation in clean d-wave superconductors
• Superfluid Suppression in d-Wave Superconductors due to Disordered Magnetism
• Pseudogap, competing order and coexistence of staggered flux and d-wave pairing in high-temperature superconductors
• Zeeman and Orbital Limiting Fields: Separated Spin and Charge Degrees of Freedom in Cuprate Superconductors
• Gorkov equations for a pseudo-gapped high temperature superconductor
• Effects of an electronic topological transition for anisotropic low-dimensional superconductors
• Spin-roton excitations in the cuprate superconductors
• New Collective Modes in the Superconducting Ground States in the Gauge Theory Description of the Cuprates
• Nodal Liquids in Extended t-J Models and Dynamical Supersymmetry
• Electron-fluctuation interaction in a non-Fermi superconductor
• Competition between superconductivity and nematic order in high-$T_c$ superconductor
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Spatial homogeneity and doping dependence of quasiparticle tunneling spectra in cuprate superconductors
• On the origin of the A${}_{1g}$ and B${}_{1g}$ electronic Raman scattering peaks in the superconducting state of YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Anomalous doping evolution of superconductivity and quasiparticle interference in Bi2Sr2Ca2Cu3O10+δ trilayer cuprates
• Enhancement of the critical temperature in cuprate superconductors by inhomogeneous doping
• Andreev scattering in the asymmetric ladder with preformed bosonic pairs
• Quasiparticles and Phase Fluctuations in High Tc Superconductors
• Non-conservation of Density of States in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_y$: Coexistence of Pseudogap and Superconducting gap
• Spectral properties and pseudogaps in a model with d-wave pairing symmetry
• Quenching the Superconducting State of Cuprate Compounds with Electric Currents: A Variational Study
• The Pseudogap Challenge: Understanding the ab-Plane AC Conductivity below Tc
• Landau Transport equations in slave-boson mean-field theory of t-J model
• Two-loop disorder effects on the nematic quantum criticality in $d$-wave superconductors
• Studies of doping and temperature dependences of superfluid weight and spectral function; Universal scaling behavior of pseudogap
• Flow equation approach to the linear response theory of superconductors
• Linear response theory around a localized impurity in the pseudogap regime of an anisotropic superconductor: precursor pairing vs the d-density-wave scenario
• "Quasiparticle Charge" in Superconductors: Effect of Mott Physics or Hidden Order Parameter ?
• Effect of Umklapp Scattering on Magnetic Field Penetration Depth in High-Tc Cuprates
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Experimental implications of quantum phase fluctuations in layered superconductors
• Electromagnetic response of high-Tc superconductors -- the slave-boson and doped-carrier theories
• Pseudogap due to antiferromagnetic fluctuations and the phase diagram of the high temperature oxide superconductors
• Designing Heterostructures with Higher Temperature Superconductivity
• Gauge approach to superfluid density in underdoped cuprates
• Superconducting gap anisotropy and topological singularities due to lattice translational symmetry and their thermodynamic signatures
• Nodal quasiparticles and classical phase fluctuations in d-wave superconductors
• Short Coherence Length Superconductivity: A Generalization of BCS Theory for the Underdoped Cuprates
• Flux Phase as a Dynamic Jahn-Teller Phase: Berryonic Matter in the Cuprates?
• Application of the scattering rate sum-rule to the interplane optical conductivity of high temperature superconductors: pseudogap and bi-layer effects
• Changes in Optical Conductivity due to Readjustments in Electronic Density of States
• Effects of doping on thermally excited quasiparticles in the high-$T_c$ superconducting state
• Electron Self-Energy of High Temperature Superconductors as Revealed by Angle Resolved Photoemission
• Superfluid density in the slave-boson theory
• Magnetic Field Effects in the Pseudogap Phase: A Precursor Superconductivity Scenario
• Pseudogap in the microwave response of YBa_2Cu_3O_{7-x}
• Doping-dependent critical Cooper-pair momentum in thin, underdoped cuprate films
• Ultrasonic Attenuation in the Vortex State of d-wave Superconductors
• Nodal Quasiparticles versus Phase Fluctuations in High Tc Superconductors: An Intermediate Scenario
• A proposal to detect vortices above the superconducting transition temperature
• Ultrasonic Attenuation in Clean d-Wave Superconductors
• Superfluid density in cuprates: hints on gauge compositeness of the holes
• Monte Carlo study of the superfluid weight in doped antiferromagnets
• Classical phase fluctuations in d-wave superconductors