Thursday, June 22, 2006, 1:30 pm — Small seminar room, Bldg 510
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 $S\propto
q\delta(\omega-uq)$, characteristic for the Tomonaga-Luttinger model,
broadens up; $S(q,\omega)$ for a fixed $q$ becomes finite at arbitrarily
large $\omega$. The main spectral weight, however, is confined to a narrow
frequency interval of the width $\delta\omega\sim q^2/m$. 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 $q$.
Hosted by: Andrei Chitov
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