Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet

Abstract

Using an extension of the fermionic functional renormalization group for systems where strong correlations give rise to projected Hilbert spaces we calculate the phase diagram and the electronic spectral function of the Hubbard model at infinite on-site repulsion. For a square lattice with nearest-neighbor hopping we find that the ground state evolves from a paramagnetic Fermi liquid at low densities via a state with antiferromagnetic stripe order at intermediate densities to an extended Nagaoka ferromagnet at high densities. The single-particle spectral function of the Nagaoka ferromagnet exhibits a flat but rather broad band characteristic for an incoherent non-Fermi liquid. We identify two distinct ferromagnetic regimes separated by a Lifshitz transition.

8 pages, 6 figures

References in corpus (27)

• The nonperturbative functional renormalization group and its applications
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Scaling Behavior of Heavy Fermion Metals
• A Fermi-Hubbard Optical Tweezer Array
• From local to critical fluctuations in lattice models: a non-perturbative renormalization-group approach
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Quantitative functional renormalization-group description of the two-dimensional Hubbard model
• Extremely Correlated Fermi Liquids
• Non-perturbative renormalization-group approach to the Bose-Hubbard model
• Directly imaging spin polarons in a kinetically frustrated Hubbard system
• Hidden Fermi Liquid: The Secret of High Tc Cuprates
• A dynamical mean-field theory study of Nagaoka ferromagnetism
• The itinerant ferromagnetic phase of the Hubbard model
• Breakdown of Landau Theory in Overdoped Cuprates near the Onset of Superconductivity
• Extremely Correlated Fermi Liquids: The Formalism
• Functional renormalization group for fermion lattice models in three dimensions: application to the Hubbard model on the cubic lattice
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Topological disorder triggered by interaction-induced flattening of electron spectra in solids
• Phase diagram of the $J_1$-$J_2$ quantum Heisenberg model for arbitrary spin
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• Finite-Temperature Kinetic Ferromagnetism in the Square Lattice Hubbard Model
• Recursive algorithm for generating high-temperature expansions for spin systems and the chiral non-linear susceptibility
• Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
• Ferromagnetism vs. Antiferromagnetism in Narrow-Band Systems: Competition Between Quantum Geometry and Band Dispersion
• Functional renormalization group without functional integrals: implementing Hilbert space projections for strongly correlated electrons via Hubbard X-operators
• Functional renormalization group for extremely correlated electrons