One-dimensional quantum wires: A pedestrian approach to bosonization
Abstract
In these lecture notes we will consider systems in which the motion of electrons is confined to one dimension (1D). In these so-called quantum wires electron-electron interaction effects play an important role because the restricted dimensions enhance the scattering between the electrons and completely destroy the quasi-particle picture. New density wave excitations appear that are described by bosonic operators. Here, we will develop this bosonic description, following a pedestrian approach which does not require any previous knowledge in field theory methods. These notes therefore serve as a detailed introduction into bosonization by carefully deriving the most fundamental formulas.
Cite
@article{arxiv.0708.0003,
title = {One-dimensional quantum wires: A pedestrian approach to bosonization},
author = {Sebastian Eggert},
journal= {arXiv preprint arXiv:0708.0003},
year = {2009}
}
Comments
47 pages, 18 figures, lecture notes (A3 Foresight Summer School, Korea, 2006) with minor corrections. The most recent version can be found at http://www.physik.uni-kl.de/eggert/papers/