Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator

Abstract

We study the superconducting state of the hole-doped two-dimensional Hubbard model using Cellular Dynamical Mean Field Theory, with the Lanczos method as impurity solver. In the under-doped regime, we find a natural decomposition of the one-particle (photoemission) energy-gap into two components. The gap in the nodal regions, stemming from the anomalous self-energy, decreases with decreasing doping. The antinodal gap has an additional contribution from the normal component of the self-energy, inherited from the normal-state pseudogap, and it increases as the Mott insulating phase is approached.

arXiv commentCorrected typos, 4.5 pages, 4 figures

References in corpus (25)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Quantum Cluster Theories
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• A Phenomenological Theory of The Pseudogap State
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
• Dynamical Breakup of the Fermi Surface in a doped Mott Insulator
• Evidence for two energy scales in the superconducting state of optimally doped (Bi,Pb)2(Sr,La)2CuO6+d
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Cluster Dynamical Mean Field analysis of the Mott transition
• Antiferromagnetic to superconducting phase transition in the hole- and electron-doped Hubbard model at zero temperature
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Phase Diagram of the Hubbard Model: Beyond the Dynamical Mean Field
• Phenomenological description of the two energy scales in underdoped superconducting cuprates
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems
• The superconducting gap in the Hubbard model and the two gap energy scales in high-Tc cuprates
• Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model
• Avoided Quantum Criticality near Optimally Doped High Temperature Superconductors

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