Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model

Abstract

We calculate the magnetic phase diagram of the half-filled t-t'-U Hubbard model as a function of t' and U, within the Gutzwiller approximation RPA (GA+RPA). As U increases, the system first crosses over to one of a wide variety of incommensurate phases, whose origin is clarified in terms of double nesting. We evaluate the stability regime of the incommensurate phases by allowing for symmetry-breaking with regard to the formation of spin spirals, and find a crossover to commensurate phases as U increases and a full gap opens. The results are compared with a variety of other recent calculations, and in general good agreement is found. For parameters appropriate to the cuprates, double occupancy should be only mildly suppressed in the absence of magnetic order, inconsistent with a strong coupling scenario.

arXiv commentPRB, 4 eps figures, revtex; http://link.aps.org/doi/10.1103/PhysRevB.81.014510

References in corpus (13)

• Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• One-band tight-binding model parametrization of the high-$T_c$ cuprates, including the effect of $k_z$-dispersion
• New quantum phase transitions in the two-dimensional J1-J2 model
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Time-dependent Gutzwiller approximation for the Hubbard model
• Time-dependent Gutzwiller theory of magnetic excitations in the Hubbard model
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• Metal-insulator transition and strong-coupling spin liquid in the $t-t^{\prime }$ Hubbard model
• White-Scalapino-like Stripes in a Mean-Field Hubbard Model

Cited by in corpus (12)

• Intermediate Coupling Model of the Cuprates
• Optical model-solution to the competition between a pseudogap phase and a Mott-gap phase in high-temperature cuprate superconductors
• Testing the Monte Carlo - Mean Field approximation in the one-band Hubbard model
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Spin canting as a result of the competition between stripes and spirals in cuprates
• Self Energy and Fluctuation Spectra in Cuprates: Comparing Optical and Photoemission Results
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Discerning electronic fingerprints of nodal and antinodal nestings and their phase coherences in doped cuprate superconductors
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry