Impurity in a Luttinger liquid: A numerical study of the finite-size energy spectrum and of the orthogonality catastrophe exponent
The behavior of a single impurity in a one-dimensional Luttinger liquid is numerically investigated by means of the density-matrix renormalization group. By analyzing the finite-size scaling behavior of the low-energy spectrum, we confirm the theoretical prediction of Kane and Fisher <article>[Phys. Rev. Lett. 68, 1220 (1992)]</article> both for attractive and repulsive interactions. Moreover, we calculate the exponent of the orthogonality catastrophe, which gives a further support to the above theoretical prediction.
Physical Review B
- Pub Date:
- October 1996
- Condensed Matter
- Latex, 14 Pages (4 PostScript figures), to be appeared in PRB Rapid Comm., two sentences modified in conclusion and acknowledgement