Gapless superconductivity and the Fermi arc in the cuprates

Abstract

We argue that the Fermi arc observed in angle resolved photoemission measurements in underdoped cuprates can be understood as a consequence of inelastic scattering in a d-wave superconductor. We analyze this phenomenon in the context of strong coupling Eliashberg theory, deriving a `single lifetime' model for describing the temperature evolution of the spectral gap as measured by single particle probes such as photoemission and tunneling.

4 pages, 2 figures. Submitted to PRB

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• Point nodes persisting far beyond Tc in Bi2212
• DMFT reveals the non-Hermitian topology in heavy-fermion systems
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• When Superconductivity Crosses Over: From BCS to BEC
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• Theory of Radio Frequency Spectroscopy Experiments in Ultracold Fermi Gases and Their Relation to Photoemission Experiments in the Cuprates
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• A Two Energy Gap Preformed-Pair Scenario For the Cuprates: Implications for Angle-Resolved Photoemission Spectroscopy
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Coherence and pairing in a doped Mott insulator: Application to the cuprates
• The emergence of global phase coherence from local pairing in underdoped cuprates
• Magic gap ratio for optimally robust fermionic condensation and its implications for high-Tc superconductivity
• Vertical loop nodes in iron-based superconductors
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Understanding the Protected Nodes and Collapse of the Fermi Arcs in Underdoped Cuprate Superconductors
• Quasiparticle Interference in STM As a Function of Temperature: Signatures of Coherence
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• Self-Energies and Quasiparticle Scattering Interference
• Tunneling spectra of submicron Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ intrinsic Josephson junctions: evolution from superconducting gap to pseudogap
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• Consistent two-lifetime model for spectral functions of superconductors
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Photoinduced filling of near nodal gap in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• The Two Component Optical Conductivity in the Cuprates: A Necessary Consequence of Preformed Pairs
• Contrasting Nodal and Anti-Nodal Behavior in the Cuprates Via Multiple Gap Spectroscopies
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• Pseudogap Suppression by Competition with Superconductivity in La-Based Cuprates
• Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum rule consistent response functions of the pseudogap
• Optical Sum Rule anomalies in the High-Tc Cuprates
• Inhomogeneity, Fluctuations, and Gap Filling in Overdoped Cuprates
• Theory of Diamagnetism in the Pseudogap Phase: Implications from the Self energy of Angle Resolved Photoemission
• Pseudogap in electron-doped cuprates: thermal precursor to magnetism
• Quasiparticle states driven by a scattering on the preformed electron pairs
• Theoretical Investigation of Fermion Pairings in Three-band Extended Hubbard Model