How localized is an extended quantum system ?
Condensed Matter
2015-06-25 v4
Abstract
We elaborate on a geometric characterization of the electromagnetic properties of matter. A fundamental complex quantity, z_{L}, is introduced to study the localization properties of extended quantum systems. z_L, which allows us to discriminate between conducting and non-conducting thermodynamic phases, has an illuminating physical (and geometric) interpretation. Its phase can be related to the expectation value of the position operator (and a Berry phase), while its modulus is associated with quantum electric polarization fluctuations (and a quantum metric). We also study the scaling behavior of z_L in the one-dimensional repulsive Hubbard model.
Cite
@article{arxiv.cond-mat/9910490,
title = {How localized is an extended quantum system ?},
author = {G. Ortiz and A. A. Aligia},
journal= {arXiv preprint arXiv:cond-mat/9910490},
year = {2015}
}
Comments
5 pages; 1 figure (revtex)