Transport properties of a Luttinger liquid with a cluster of impurities

In this work, the correlation functions of a Luttinger liquid with a cluster of impurities around an origin obtained using the Non chiral bosonization technique (NCBT) are used to study two important physical phenomena, viz., conductance and resonant tunneling. The latter is studied when the cluster...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Das, Joy Prakash, Setlur, Girish S
Format: Article
Language:English
Subjects:
Clusters
Impurities
Mathematical analysis
Resistance
Resonant tunneling
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, the correlation functions of a Luttinger liquid with a cluster of impurities around an origin obtained using the Non chiral bosonization technique (NCBT) are used to study two important physical phenomena, viz., conductance and resonant tunneling. The latter is studied when the cluster consists of two impurities separated by a distance (measured in units of the Fermi wavelength). Conductance is studied both in the Kubo formalism, which relates it to current-current correlations (four-point functions), as well as the outcome of a tunneling phenomena (two-point functions). In both the cases, closed analytical expressions for conductance are calculated and a number of interesting physical observations are discussed, besides presenting a favorable comparison with the existing literature.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.08175