Phase diagram and quasiparticle properties of the Hubbard model within cluster two-site DMFT

Abstract

We present a cluster dynamical mean-field treatment of the Hubbard model on a square lattice to study the evolution of magnetism and quasiparticle properties as the electron filling and interaction strength are varied. Our approach for solving the dynamical mean-field equations is an extension of Potthoff's "two-site" method [Phys. Rev. B. 64, 165114 (2001)] where the self-consistent bath is represented by a highly restricted set of states. As well as the expected antiferromagnetism close to half filling, we observe distortions of the Fermi surface. The proximity of a van Hove point and the incipient antiferromagnetism lead to the evolution from an electron-like Fermi surface away from the Mott transition, to a hole-like one near half-filling. Our results also show a gap opening anisotropically around the Fermi surface close to the Mott transition (reminiscent of the pseudogap phenomenon seen in the cuprate high-Tc superconductors). This leaves Fermi arcs which are closed into pockets by lines with very small quasiparticle residue.

arXiv comment10 pages, 8 figures, latex (revtex4)

References in corpus (18)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• First-principles Calculations of the Electronic Structure and Spectra of Strongly Correlated Systems: Dynamical Mean-field Theory
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Nodal metallic behavior of lightly-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• Truncation of a 2-dimensional Fermi surface due to quasiparticle gap formation at the saddle points
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Plaquette Boson-Fermion Model of Cuprates
• Electronic structure of underdoped cuprates
• Renormalized perturbation theory for Fermi systems: Fermi surface deformation and superconductivity in the two-dimensional Hubbard model
• Two-site dynamical mean-field theory
• ARPES Spectra of the Hubbard model
• Pomeranchuk and other Instabilities in the t-t' Hubbard model at the Van Hove Filling
• The non-Fermi-liquid nature of the metallic states of the Hubbard Hamiltonian

Cited by in corpus (12)

• Strong electronic correlations in superconducting organic charge transfer salts
• Pomeranchuk and Topological Fermi Surface Instabilities from Central Interactions
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Spontaneous breaking of the Fermi surface symmetry in the t-J model: a numerical study
• Charge instabilities at the metamagnetic transition
• Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling
• Structural matters in HTSC; the origin and form of stripe organization and checker boarding
• Validity of the Local Approximation in Iron- Pnictides and Chalcogenides
• Metal-insulator transition in half-filling two-orbital Hubbard model on triangular lattice
• Two-particle propagator and magnetic susceptibility in the Hubbard model- An improved treatment
• Evolution with hole doping of the electronic excitation spectrum in the cuprate superconductors
• Mott metal-insulator transition in a modified periodic Anderson model: Insights from entanglement entropy and role of short-range spatial correlations