On the reduced density matrix for a chain of free electrons
Statistical Mechanics
2009-11-10 v3
Abstract
The properties of the reduced density matrix describing an interval of N sites in an infinite chain of free electrons are investigated. A commuting operator is found for arbitrary filling and also for open chains. For a half filled periodic chain it is used to determine the eigenfunctions for the dominant eigenvalues analytically in the continuum limit. Relations to the critical six-vertex model are discussed.
Cite
@article{arxiv.cond-mat/0403048,
title = {On the reduced density matrix for a chain of free electrons},
author = {Ingo Peschel},
journal= {arXiv preprint arXiv:cond-mat/0403048},
year = {2009}
}
Comments
8 pages, small changes, Equ.(24) corrected, final version