Functional integral bosonization for an impurity in a Luttinger liquid

Grishin, Alex, Yurkevich, Igor V. and Lerner, Igor V. (2004). Functional integral bosonization for an impurity in a Luttinger liquid. Physical Review B, 69 (16),


We use a functional integral formalism developed earlier for the pure Luttinger liquid (LL) to find an exact representation for the electron Green function of the LL in the presence of a single backscattering impurity in the low-temperature limit. This allows us to reproduce results (well known from the bosonization techniques) for the suppression of the electron local density of states (LDOS) at the position of the impurity and for the Friedel oscillations at finite temperature. In addition, we have extracted from the exact representation an analytic dependence of LDOS on the distance from the impurity and shown how it crosses over to that for the pure LL.

Publication DOI:
Divisions: Engineering & Applied Sciences > Mathematics
Full Text Link: http://link.aps ... PRB/v69/e165108
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2004-04-07
Authors: Grishin, Alex
Yurkevich, Igor V. ( 0000-0003-1447-8913)
Lerner, Igor V.

Export / Share Citation


Additional statistics for this record