The superconducting gap in the Hubbard model and the two gap energy scales in high-Tc cuprates

Abstract

Recent excperiments (ARPES, Raman) suggest the presence of two distinct energy gaps in high-Tc superconductors (HTSC), exhibiting different doping dependences. Results of a variational cluster approach to the superconducting state of the two-dimensional Hubbard model are presented which show that this model qualitatively describes this gap dichotomy: One gap (antinodal) increases with less doping, a behavior long considered as reflecting the general gap behavior of the HTSC. On the other hand, the near-nodal gap does even slightly decrease with underdoping. An explanation of this unexpected behavior is given which emphasizes the crucial role of spin fluctuations in the pairing mechanism.

arXiv comment4 pages, 5 figures, revised version to be published in Phys. Rev. Lett

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• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
• Evidence for hidden fermion that triggers high-temperature superconductivity in cuprates
• Resilience of d-wave superconductivity to nearest-neighbor repulsion
• Phase diagram and single-particle spectrum of CuO${}_2$ layers within a variational cluster approach to the 3-band Hubbard model
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Evolution of the gaps through the cuprate phase-diagram
• Multi-orbital cluster dynamical mean-field theory with an improved continuous-time quantum Monte Carlo algorithm
• The 3-Band Hubbard-Model versus the 1-Band Model for the high-Tc Cuprates: Pairing Dynamics, Superconductivity and the Ground-State Phase Diagram
• Hidden-Fermion Representation of Self-energy in Pseudogap and Superconducting States of Two-Dimensional Hubbard Model
• Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime
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• Accessing thermodynamics from dynamical cluster-embedding approaches
• Brillouin-zone integration scheme for many-body density of states: Tetrahedron method combined with cluster perturbation theory
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• Two-Particle-Self-Consistent Approach for the Hubbard Model
• Single-Particle Dispersion and Density of States of the Half-Filled 2D Hubbard Model