Anomalous quasiparticle lifetime in geometric quantum critical metals

Abstract

Metals can undergo geometric quantum phase transitions where the local curvature of the Fermi surface changes sign without a change in symmetry or topology. At the inflection points on the Fermi surface, the local curvature vanishes, leading to an anomalous dynamics of quasiparticles. In this paper, we study geometric quantum critical metals that support inflection points in two dimensions, and show that the decay rate of quasiparticles goes as $E^{\alpha }$ with $1<\alpha <2$ as a function of quasiparticle energy $E$ at the inflection points.

7 pages, 4 figures

References in corpus (20)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Critical fermi surfaces and non-fermi liquid metals
• Kohn-Luttinger superconductivity in graphene
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Finite temperature inelastic mean free path and quasiparticle lifetime in graphene
• Quasi-Local Strange Metal
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• Gifts from anomalies: Exact results for Landau phase transitions in metals
• Anisotropic Non-Fermi Liquids
• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Non-Fermi-liquid behavior and anomalous suppression of Landau damping in layered metals close to ferromagnetism
• Probing Fermi sea topology by Andreev state transport
• Topological Andreev Rectification
• Self-energy corrections to anisotropic Fermi surfaces
• Non Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order
• Zeeman dependence of the quasiparticle scattering rate and ARPES in copper oxides and related materials