The TomonagaLuttinger Liquid with Quantum Impurity Revisited: Critical Line and Phase Diagram
Abstract
We revisit the $(1+1)$ dimensional field theoretical model, which describes the TomonagaLuttinger liquid (TLL), interacting with a static impurity at the origin of the half line. Applying the FermiBose equivalence and finite conformal transformations only, we map the model onto the Schmid model. Some details of the bosonization procedure have been given. The critical line and the phase diagram of the model follow from the renormalization group analysis of the Schmid model. The obtained critical line of the model is a hyperbola in the parameter space of the two couplings of the TLL.
 Publication:

arXiv eprints
 Pub Date:
 December 2015
 arXiv:
 arXiv:1512.08842
 Bibcode:
 2015arXiv151208842L
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 9 pages