title: Dynamic response of one-dimensional interacting fermions.
abstract: We evaluate the dynamic structure factor S(q, omega) of interacting one-dimensional spinless fermions with a nonlinear dispersion relation. The combined effect of the nonlinear dispersion and of the interactions leads to new universal features of S(q, omega). The sharp peak S(q, omega) approximately q(delta(omega -uq), characteristic for the Tomonaga-Luttinger model, broadens up; for a fixed becomes finite at arbitrarily large . The main spectral weight, however, is confined to a narrow frequency interval of the width deltaomega approximately q(2)/m. At the boundaries of this interval the structure factor exhibits power-law singularities with exponents depending on the interaction strength and on the wave number q.
authors.affiliation: School of Physics, Georgia Institute of Technology, Atlanta, 30332, USA.
authors.forename: M
authors.initials: M
authors.lastname: Pustilnik
authors.forename: M
authors.initials: M
authors.lastname: Khodas
authors.forename: A
authors.initials: A
authors.lastname: Kamenev
authors.forename: L I
authors.initials: LI
authors.lastname: Glazman