Realizing infrared power-law liquids in the cuprates from unparticle interactions

Abstract

Recent photoemission experiments \cite{dessau} reveal that the excitations along the nodal region in the strange metal of the cuprates, rather than corresponding to poles in the single-particle Green function, exhibit power-law scaling as a function of frequency and temperature. Because such power-law scaling is indicative of a scale-invariant sector, as a first step, we perturbatively evaluate the electron self-energy due to interactions with scale-invariant unparticles. We focus on a $G_{0}W$ type diagram with an interaction $W$ mediated by a bosonic scalar unparticle. We find that, in the high-temperature limit, the imaginary part of the self-energy $\mathrm{Im}\Sigma$ is linear in temperature. In the low-temperature limit, $\mathrm{Im}\Sigma$ exhibits the same power law in both temperature and frequency, with an exponent that depends on the scaling dimension of an unparticle operator. Such behavior is qualitatively consistent with the experimental observations. We then expand the unparticle propagator into coherent and incoherent contributions, and study how the incoherent part violates the density of states (DOS) and density-density correlation function sum rules (f-sum rule). Such violations can, in principle, be observed experimentally. Our work indicates that the physical mechanism for the origin of the power-law scaling is the incoherent background, which is generated from the Mott-scale physics.

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Cited by in corpus (10)

• Viscoelastic Dynamics in Holography
• Power-law liquid in cuprate superconductors from fermionic unparticles
• Absence of Luttinger's theorem for fermions with power-law Green functions
• Breakdown of Landau Fermi liquid theory: restrictions on the degrees of freedom of quantum electrons
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Horizon Fractalization in Black Strings Ungravity
• Scale-invariance as the cause of the superconducting dome in the cuprates
• Constraining unparticle physics from $CP$ violation in Cabibbo-favored decays of D mesons
• Landau Quasiparticles in Weak Power-Law Liquids
• Strange metal in the doped Hubbard model via percolation