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- W2005648730 abstract "We revisit the dynamic spin susceptibility, $chi(q,omega)$, of one-dimensional interacting fermions. To second order in the interaction, backscattering results in a logarithmic correction to $chi(q,omega)$ at $qll k_F$, even if the single-particle spectrum is linearized near the Fermi points. Consequently, the dynamic spin structure factor, $mathrm{Im}chi(q,omega)$, is non-zero at frequencies above the single-particle continuum. In the boson language, this effect results from the marginally irrelevant backscattering operator of the sine-Gordon model. Away from the threshold, the high-frequency tail of $mathrm{Im}chi(q,omega)$ due to backscattering is larger than that due to finite mass by a factor of $k_F/q$. We derive the renormalization group equations for the coupling constants of the $g$-ology model at finite $omega$ and $q$ and find the corresponding expression for $chi(q,omega)$, valid to all orders in the interaction but not in the immediate vicinity of the continuum boundary, where the finite-mass effects become dominant." @default.
- W2005648730 created "2016-06-24" @default.
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- W2005648730 date "2015-02-04" @default.
- W2005648730 modified "2023-09-26" @default.
- W2005648730 title "Dynamical spin structure factor of one-dimensional interacting fermions" @default.
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- W2005648730 doi "https://doi.org/10.1103/physrevb.91.081102" @default.
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