Effective theory of high-temperature superconductors

Abstract

General field theory of a fluctuating d-wave superconductor is constructed and proposed as an effective description of superconducting cuprates at low energies. The theory is used to resolve a puzzle posed by recent experiments on superfluid density in severely underdoped YBCO. In particular, the overall temperature dependence of the superfluid density at low dopings is argued to be described well by the strongly anisotropic weakly interacting three-dimensional Bose gas, and thus approximately linear in temperature with an almost doping-independent slope.

4 RevTex pages, 1 figure; few typos corrected; published version

References in corpus (18)

• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• QED3 theory of underdoped high temperature superconductors
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Effects of carrier concentration on the superfluid density of high-T_c cuprates
• Non-compact QED_3 with N_f >=2
• Delocalized fermions in underdoped cuprates
• Superconductivity in a doped Mott insulator
• Survival of the d-wave superconducting state near the edge of antiferromagnetism in the cuprate phase diagram
• Continuum dual theory of the transition in 3D lattice superconductor
• Finite temperature superfluid density in very underdoped cuprates
• Fine structure of chiral symmetry breaking in the $QE{D}_3$ theory of underdoped high-$T_c$ superconductors
• Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
• Landau Transport equations in slave-boson mean-field theory of t-J model
• Towards Exact Results in Nodal Antiferromagnetic Planar Liquids
• Quantum fluctuations, pseudogap, and the T=0 superfluid density in strongly correlated d-wave superconductors

Cited by in corpus (31)

• Interactions and phase transitions on graphene's honeycomb lattice
• Theory of interacting electrons on the honeycomb lattice
• Superfluid Density in a Highly Underdoped YBCO Superconductor
• On the Phase Structure of Many-Flavor QED${}_3$
• UV fixed-point structure of the three-dimensional Thirring model
• Critical behavior of the (2+1)-dimensional Thirring model
• Critical Flavor Number in the Three Dimensional Thirring Model
• Competing ferromagnetism in high temperature copper oxide superconductors
• Multi-meson Yukawa interactions at criticality
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Restoration of the magnetic hc/e-periodicity in unconventional superconductors
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
• Stable Skyrmions in spinor condensates
• Evidence of Two-Dimensional Quantum Critical Behavior in the Superfluid Density of Deeply Underdoped Bi2Sr2CaCu2O8+x
• Classification of massive and gapless phases in bilayer graphene
• Universal conductivity of graphene in the ultra-relativistic regime
• Temperature dependent Fermi arcs in the normal state of the underdoped cuprate superconductors
• Skyrmion in spinor condensates and its stability in trap potentials
• Superfluid density and competing orders in d-wave superconductors
• Microwave spectroscopy of vortex dynamics in ortho-II YBa2Cu3O6.52
• Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model
• Electromagnetic response of high-Tc superconductors -- the slave-boson and doped-carrier theories
• Stability of nodal quasiparticles in underdoped YBa2Cu3O6+y probed by penetration depth and microwave spectroscopy
• Fermionic superfluidity: From high Tc superconductors to ultracold Fermi gases
• Excitons in QED3 and spin response in a phase-fluctuating d-wave superconductor
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
• Small polarons mediated near-room-temperature metal-insulator transition in vanadium dioxide and their hopping dynamics
• Superfluid density in the slave-boson theory
• Screening in anisotropic superfluids and the superfluid density in underdoped cuprates
• Interfacial Strain Modulated Correlated Plasmons in La1.85Sr0.15CuO4 and Their Role in High-temperature Superconductivity
• Fermion zero mode and superfluid weight