Non-Fermi-liquid behavior and anomalous suppression of Landau damping in layered metals close to ferromagnetism

Abstract

We analyse the low-energy physics of nearly ferromagnetic metals in two spatial dimensions using the functional renormalization group technique. We find a new low-energy fixed point, at which the fermionic (electron-like) excitations are non-Fermi-liquid ($z_f=13/10$) and the magnetic fluctuations exhibit an anomalous Landau damping whose rate vanishes as ${\Gamma }_{\mathbf{q}}\sim |\mathbf{q}{|}^{3/5}$ in the low-$|\mathbf{q}|$ limit. We discuss this renormalization of the Landau-damping exponent, which is the major novel prediction of our work, and highlight the possible link between that renormalization and neutron-scattering data on UGe${}_2$ and related compounds. Implications of our analysis for YFe${}_2$Al${}_{10}$ are also discussed.

5 pages, 3 figures; action modified to include spin of fermions, resulting in quantitative changes to exponents but same essential physics

References in corpus (9)

• Exact evolution equation for the effective potential
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Critical fermi surfaces and non-fermi liquid metals
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Quasi-Local Strange Metal
• Quantum critical metals in $4-\epsilon$ dimensions
• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Functional renormalization group approach to the Ising-nematic quantum critical point of two-dimensional metals

Cited by in corpus (11)

• Large $N$ theory of critical Fermi surfaces
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Fluctuation Spectrum of Critical Fermi Surfaces
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Generalized Hertz action and quantum criticality of two-dimensional Fermi systems
• Current Algebra Approach to 2d Chiral Metals
• Quantum criticality and non-Fermi liquids: the Wilsonian renormalization group perspective
• Anomalous quasiparticle lifetime in geometric quantum critical metals
• Phonon Induced Energy Relaxation in Quantum Critical Metals