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- W2811194881 abstract "We study dynamic response of a Fermi liquid in the spin, charge, and nematic channels beyond the random phase approximation for the dynamically screened Coulomb potential. In all the channels, one-loop order corrections to the irreducible susceptibility result in a nonzero spectral weight of the corresponding fluctuations above the particle-hole continuum boundary. It is shown that the imaginary part of the spin susceptibility, $mathrm{Im}{ensuremath{chi}}_{s}(mathbf{q},ensuremath{omega})$, falls off as ${q}^{2}/ensuremath{omega}$ for frequencies above the continuum boundary ($ensuremath{omega}ensuremath{gg}{v}_{mathrm{F}}q$) and below the model-dependent cutoff frequency, whereas the imaginary part of the charge susceptibility, $mathrm{Im}{ensuremath{chi}}_{c}(mathbf{q},ensuremath{omega})$, falls off as ${(q/{k}_{F})}^{2}{q}^{2}/ensuremath{omega}$ for frequencies above the plasma frequency. An extra factor of ${(q/{k}_{F})}^{2}$ in $mathrm{Im}{ensuremath{chi}}_{c}(mathbf{q},ensuremath{omega})$ as compared to $mathrm{Im}{ensuremath{chi}}_{s}(mathbf{q},ensuremath{omega})$ is a direct consequence of Galilean invariance. The imaginary part of the nematic susceptibility increases linearly with $ensuremath{omega}$ up to a peak at the ultraviolet energy scale---the plasma frequency and/or Fermi energy---and then decreases with $ensuremath{omega}$. We also obtain explicit forms of the spin susceptibility from the kinetic equation in the collisionless limit and for the Landau function that contains up to the first three harmonics." @default.
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- W2811194881 date "2018-09-21" @default.
- W2811194881 modified "2023-10-18" @default.
- W2811194881 title "Dynamical susceptibility of a Fermi liquid" @default.
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- W2811194881 doi "https://doi.org/10.1103/physrevb.98.115139" @default.
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