Antiferromagnetic to superconducting phase transition in the hole- and electron-doped Hubbard model at zero temperature

Abstract

The competition between d-wave superconductivity (SC) and antiferromagnetism (AF) in the high-Tc cuprates is investigated by studying the hole- and electron-doped two-dimensional Hubbard model with a recently proposed variational quantum-cluster theory. The approach is shown to provide a thermodynamically consistent determination of the particle number, provided that an overall shift of the on-site energies is treated as a variational parameter. The consequences for the single-particle excitation spectra and for the phase diagram are explored. By comparing the single-particle spectra with quantum Monte-Carlo (QMC) and experimental data, we verify that the low-energy excitations in a strongly-correlated electronic system are described appropriately. The cluster calculations also reproduce the overall ground-state phase diagram of the high-temperature superconductors. In particular, they include salient features such as the enhanced robustness of the antiferromagnetic state as a function of electron doping and the tendency towards phase separation into a mixed antiferromagnetic-superconducting phase at low-doping and a pure superconducting phase at high (both hole and electron) doping.

13 pages, 10 figures, revised version accepted by PRB

References in corpus (9)

• Variational cluster approach to correlated electron systems in low dimensions
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• Weak phase separation and the pseudogap in the electron-doped cuprates
• Quantum Monte Carlo Study of Strongly Correlated Electrons: Cellular Dynamical Mean-Field Theory
• Electronic inhomogeneity and competing phases in electron-doped superconducting Pr0.88LaCe0.12CuO4
• Dynamical variational principles for strongly correlated electron systems
• Correlated band structure and the ground-state phase diagram in high-Tc cuprates

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