Single-hole dynamics in the t-J model

Details Single-hole dynamics in the t-J model Single-hole dynamics in the t-J model

2002-08-28

arxiv.org/abs/cond-mat/0208554v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 1 figure

Scientific paper

10.1103/PhysRevB.66.174423

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.

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