Vertex corrections to nonlocal correlation functions vanish at zero wavevector under inversion symmetry and for quadratic dispersions at all wavevectors, with explicit expressions for density, current, and stress responses derived for both Fermi and non-Fermi liquids under local self-energies and En
Conformally in- variant charge fluctuations in a strange metal
4 Pith papers cite this work. Polarity classification is still indexing.
abstract
The strange metal is a peculiar phase of matter in which the electron scattering rate, $\tau^{-1} \sim k_B T/\hbar$, which determines the electrical resistance, is universal across a wide family of materials and determined only by fundamental constants. In 1989, theorists hypothesized that this universality would manifest as scale-invariant behavior in the dynamic charge susceptibility, $\chi''(q,\omega)$. Here, we present momentum-resolved inelastic electron scattering measurements of the strange metal Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$ showing that the susceptibility has the scale-invariant form $\chi''(q,\omega) = T^{-\nu} f(\omega/T)$, with exponent $\nu = 0.93$. We find the response is consistent with conformal invariance, meaning the dynamics may be thought of as occurring on a circle of radius $1/T$ in imaginary time, characterized by conformal dimension $\Delta = 0.05$. Our study indicates that the strange metal is a universal phenomenon whose properties are not determined by microscopic properties of a particular material.
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background 2representative citing papers
Numerical evidence shows ω/T scaling in susceptibilities and 1/T cluster conductivity near the pseudogap QCP in the 2D Hubbard model, consistent with marginal-Fermi-liquid self-energy and strange-metal transport.
Neutron scattering reveals dynamical scaling of critical spin fluctuations across the LSCO superconducting dome, consistent with a disordered spin density wave quantum phase transition explaining strange metal behavior.
Strange metallicity in overdoped cuprates is explained by quasiparticles scattering from RIXS-characterized CDF plus a log-growing damping that shrinks the Fermi-liquid scale.
citing papers explorer
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The flow of local quantum fluids: Conservation laws and vertex corrections from many-body linear-response theory with local self-energy
Vertex corrections to nonlocal correlation functions vanish at zero wavevector under inversion symmetry and for quadratic dispersions at all wavevectors, with explicit expressions for density, current, and stress responses derived for both Fermi and non-Fermi liquids under local self-energies and En
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Dynamical scaling near the pseudogap quantum critical point of the two-dimensional Hubbard model
Numerical evidence shows ω/T scaling in susceptibilities and 1/T cluster conductivity near the pseudogap QCP in the 2D Hubbard model, consistent with marginal-Fermi-liquid self-energy and strange-metal transport.
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Critical spin fluctuations across the superconducting dome in La$_{2-x}$Sr$_{x}$CuO$_4$
Neutron scattering reveals dynamical scaling of critical spin fluctuations across the LSCO superconducting dome, consistent with a disordered spin density wave quantum phase transition explaining strange metal behavior.
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The charge density fluctuations and the Shrinking Fermi Liquid scenario for strange metallicity in cuprates
Strange metallicity in overdoped cuprates is explained by quasiparticles scattering from RIXS-characterized CDF plus a log-growing damping that shrinks the Fermi-liquid scale.