Weakly damped bosons and precursor gap in the vicinity of an antiferromagnetic metallic transition

Abstract

We study the electronic spectral function of a metal in the vicinity of an antiferromagnetic (AFM) quantum critical point, focusing on a situation where the bare bandwidth of the spin fluctuations is significantly smaller than the Fermi energy. In this limit, we identify a range of energies where the fermionic quasiparticles near the "hot spots'' on the Fermi surface are strongly scattered by the quantum critical fluctuations, whereas the damping of the AFM fluctuations by the electrons is negligible. Within a one-loop approximation, there is a parameter range where the $T=0$ spectral function at the hot spots has a "precursor gap'' feature, with a local maximum at a finite frequency. However, the ratio of the bare spin wave velocity to the Fermi velocity required to obtain a precursor gap is probably too small to explain experiments in the electron-doped cuprate superconductors (He et al., Proc. Natl. Acad. Sci 116, 3449 (2019)). At lower frequencies, the Landau damping of the AFM fluctuations becomes important, and the electronic spectral function has the familiar ${\omega }^{-1/2}$ singularity. Our one-loop perturbative results are supported by a numerical Monte Carlo simulation of electrons coupled to an undamped, nearly-critical AFM mode.

References in corpus (22)

• Progress and perspectives on the electron-doped cuprates
• Fractionalized Fermi liquids
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Doping dependence of an n-type cuprate superconductor investigated by ARPES
• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• Pseudogap state from quantum criticality
• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• Recent Developments in Non-Fermi Liquid Theory
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Microscopic theory of weak pseudogap behavior in the underdoped cuprate superconductors I: General theory and quasiparticle properties
• Asymmetry of collective excitations in electron and hole doped cuprate superconductors
• Topological order in the pseudogap metal
• Superexchange coupling and spin susceptibility spectral weight in undoped monolayer cuprates
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order
• Depleted Kondo Lattices
• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Breakdown of Fermi liquid behavior at the (π,π)=2k_F spin-density wave quantum-critical point: the case of electron-doped cuprates
• Quantum Criticality in Quasi-Two Dimensional Itinerant Antiferromagnets
• Quantum critical response function in quasi-two dimensional itinerant antiferromagnets
• Non-perturbative emergence of non-Fermi liquid behaviour in $d=2$ quantum critical metals
• Sign Reversal of the Hall Response in a Crystalline Superconductor

Cited by in corpus (1)

• Pseudogap in electron-doped cuprates: thermal precursor to magnetism