The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems
Strongly Correlated Electrons
2008-07-18 v1
Abstract
The nature of the low energy spectrum of frustrated quantum spin systems is investigated by means of a topological test introduced by Y. Hatsugai which enables to infer the possible existence or absence of a gap between the ground state and excited states of these systems. The test relies on the determination of an order parameter which is a Berry phase. The structure of the spectra of even and odd-legged systems in 2d and 3d is analyzed. Results are confronted with previous work.
Keywords
Cite
@article{arxiv.0807.2720,
title = {The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems},
author = {J. Richert},
journal= {arXiv preprint arXiv:0807.2720},
year = {2008}
}
Comments
11 pages, 1 figure