Non Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order

Abstract

We analyze quantum fluctuation effects at the onset of charge or spin density wave order with a $2k_F$ wave vector $\mathbf{Q}$ in two-dimensional metals -- for the special case where $\mathbf{Q}$ connects a pair of hot spots situated at high symmetry points of the Fermi surface with a vanishing Fermi surface curvature. We compute the order parameter susceptibility and the fermion self-energy in one-loop approximation. The susceptibility has a pronounced peak at $\mathbf{Q}$, and the self-energy displays non-Fermi liquid behavior at the hot spots, with a linear frequency dependence of its imaginary part. The real part of the one-loop self-energy exhibits logarithmic divergences with universal prefactors as a function of both frequency and momentum, which may be interpreted as perturbative signatures of power laws with universal anomalous dimensions. As a result, one obtains a non-Fermi liquid metal with a vanishing quasiparticle weight at the hot spots, and a renormalized dispersion relation with anomalous algebraic momentum dependencies near the hot spots.

References in corpus (12)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Recent Developments in Non-Fermi Liquid Theory
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• Pair fluctuation induced pseudogap in the normal phase of the two-dimensional attractive Hubbard model at weak coupling
• Quantum-critical pairing in electron-doped cuprates
• Breakdown of Fermi liquid behavior at the (π,π)=2k_F spin-density wave quantum-critical point: the case of electron-doped cuprates
• Non-Fermi liquid behavior at the onset of incommensurate 2k_F charge or spin density wave order in two dimensions
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with one pair of hot spots in two-dimensional metals
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with two pairs of hot spots in two-dimensional metals

Cited by in corpus (5)

• Space of non-Fermi liquids
• Marginal Fermi liquid behavior at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order in two-dimensional metals with flat hot spots
• Superconductivity near an Ising nematic quantum critical point in two dimensions
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals
• Anomalous quasiparticle lifetime in geometric quantum critical metals