Friedel oscillations and dynamical density of states of an inhomogeneous Luttinger liquid

In this work, the four-point Green functions relevant to the study of Friedel oscillations are calculated for a Luttinger liquid with a cluster of impurities around an origin using the powerful Non chiral bosonization technique (NCBT). The two-point functions obtained using the same method are used...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Das, Joy Prakash, Chowdhury, Chandramouli, Setlur, Girish S
Format: Article
Language:English
Subjects:
Density of states
Dependence
Green's functions
Impurities
Mathematical analysis
Oscillations
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, the four-point Green functions relevant to the study of Friedel oscillations are calculated for a Luttinger liquid with a cluster of impurities around an origin using the powerful Non chiral bosonization technique (NCBT). The two-point functions obtained using the same method are used to calculate the dynamical density of states (DDOS), which exhibits a power law in energy and closed analytical expressions for the DDOS exponent is calculated. These results interpolates between the weak barrier and weak link cases which are typically studied in the literature. The dependence of the DDOS on the nature of interactions and the strength of the impurity clusters are highlighted. Finally the special case of the Luttinger parameter g=1/2 is studied and compared with existing results.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.08173