Ferromagnetic instability in itinerant fcc lattice electron systems with higher order van Hove singularities: Functional renormalization group study

Abstract

We investigate the possibility of ferromagnetic ordering in the non-degenerate Hubbard model on the face-centered cubic lattice within the functional renormalization group technique using temperature as a scale parameter. We assume the relations between nearest, next-nearest, and next-next-nearest hopping parameters providing higher order (giant) van Hove singularity of the density of states. The ferromagnetic instability formation with lowering temperature is described consistently in the one-loop approximation for a one-particle irreducible vertex of two-particle electron interaction. The chemical potential versus temperature phase diagrams are calculated. We find ferromagnetic order only for sufficiently strong divergence of the density of states and fillings in the vicinity of van Hove singularity. The obtained Curie temperature is more than an order of magnitude smaller than the results of the random-phase approximation. The main origin of the suppression of ferromagnetism is the screening of interaction in the particle-particle channel. We also do not find the pronounced tendency towards incommensurate order when the Fermi level is moved away from a van Hove singularity, such that the first order quantum phase transitions from the ferro- to paramagnetic phase are obtained.

arXiv comment27 pages, 10 figures

References in corpus (41)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Renormalization group analysis of the 2D Hubbard model
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• The temperature-flow renormalization group and the competition between superconductivity and ferromagnetism
• From infinite to two dimensions through the functional renormalization group
• Magnetic and superconducting instabilities of the Hubbard model at the van Hove filling
• Ferromagnetism in the Hubbard Model on fcc-type lattices
• Local magnetic moments in iron and nickel at ambient and Earth's core conditions
• Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping
• Renormalization group flows into phases with broken symmetry
• Effects of the Van Hove singularities on magnetism and superconductivity in the t-t' Hubbard model: a parquet approach
• High-performance functional renormalization group calculations for interacting fermions
• Magnetism and Phase Separation in the Ground State of the Hubbard Model
• Competing orders at higher-order Van Hove points
• Orbital selective local moment formation in iron: first principle route to an effective model
• Renormalization group analysis of magnetic and superconducting instabilities near van Hove band fillings
• Interaction flow method for many-fermion systems
• Spin-fluctuation dominated electrical transport of Ni3Al at high pressure
• Spiral magnetism in the single-band Hubbard model: the Hartree-Fock and slave-boson approaches
• Correlated starting points for the functional renormalization group
• Superconductivity in the attractive Hubbard model: functional renormalization group analysis
• On-site correlation in valence and core states of ferromagnetic nickel
• Heavy quasiparticles in the ferromagnetic superconductor ZrZn2
• Fermionic renormalization group flow into phases with broken discrete symmetry: charge-density wave mean-field model
• Quantum Metamagnetic Transitions Induced by Changes in Fermi-Surface Topology -Applications to a Weak Itinerant-Electron Ferromagnet;ZrZn_2
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Effective interactions and fluctuation effects in spin-singlet superfluids
• Itinerant ferromagnetism in the multiorbital Hubbard model: a dynamical mean-field study
• Magnetic exchange in $\alpha$-iron from the ab initio calculations in the paramagnetic phase
• Magnetic fluctuations and itinerant ferromagnetism in two-dimensional systems with van Hove singularities
• Magnetic fluctuations and self--energy effects in two--dimensional itinerant systems with van Hove singularity of electronic spectrum
• Fermionic functional renormalization group for first-order phase transitions: a mean-field model
• Magnetic and superconducting correlations in the two-dimensional Hubbard model
• Giant van Hove Density of States Singularities and Anomalies of Electron and Magnetic Properties in Cubic Lattices
• Electronic correlations, spectral and magnetic properties of ZrZn${}_2$
• Spin fluctuations and ferromagnetic order in two-dimensional itinerant systems with Van Hove singularities
• Giant density-of-states van Hove singularities in the face-centered cubic lattice
• Electron Spectrum Topology and Giant Density-of-States Singularities in Cubic Lattices
• Ferromagnetic instability and finite-temperature properties of two-dimensional electron systems with van Hove singularities
• The quantum critical behavior of antiferromagnetic itinerant systems with van Hove singularities of electronic spectrum
• Three-body correlations in the Nagaoka state on the square lattice

Cited by in corpus (3)

• High-order Van Hove singularities and their connection to flat bands
• Itinerant electron metamagnetism for lattices with van Hove density-of-states singularities near the Fermi level
• Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems