In contrast to normal Fermi liquids, where the momentum distribution n(k) has a discontinuous jump at k=kF, in Luttinger liquids a power-law singularity appears in n(k). It was argued that this singularity shows up not only at kF but at 3kF,5kF,... as well, and the anomaly exponent has been detemined for the one-dimensional Hubbard model using numerical methods or assuming conformal invariance. We present an exact calculation of the anomaly exponent for the Tomonaga-Luttinger model and compare it with the results for the Hubbard model.
ASJC Scopus subject areas
- Condensed Matter Physics