Single-hole dynamics in the t-J model
摘要
The quasi-particle weight of a single hole in an antiferromagnetic background is studied in the semiclassical approximation. We start from the t-J model, generalize it to arbitrary spin S by employing an appropriate coherent state representation for the hole, and derive an effective action for the dynamics in the long-wavelength low-energy limit. In the same limit, we find an expression for the single-hole Green's function which we evaluate in an 1/S expansion. Our approach has the advantage of being applicable in one and in two dimensions. We find two qualitatively different results in these two cases: while in one dimension our results are compatible with a vanishing quasi-particle weight, this weight is found to be finite in two dimensions, indicating normal quasi-particle behavior of the hole in this last case.
引用
@article{arxiv.cond-mat/0208554,
title = {Single-hole dynamics in the t-J model},
author = {W. Apel and H. -U. Everts and U. Koerner},
journal= {arXiv preprint arXiv:cond-mat/0208554},
year = {2009}
}
备注
9 pages, 1 figure