P. Kleinert, SPECTRAL FUNCTIONS OF THE DISORDERED TOMONAGA-LUTTINGER MODEL, Journal of physics. A, mathematical and general, 29(10), 1996, pp. 2389-2397
Using the functional integral bosonization technique, the spinless Tom
onaga-Luttinger model with impurity forward scattering is solved exact
ly. Explicit analytical results are given for the one- and two-particl
e spectral functions in terms of a convolution integral representation
. Sharp structures in the frequency spectra of an ordered system are s
moothed out by the disorder. The existence of a charge-density instabi
lity is predicted if the critical exponent (gamma CDW) is less than -0
.5. There is no influence of the disorder on the superconducting spect
ral function (chi SC).