M. Vojta et Kw. Becker, HOLE MOTION IN AN ARBITRARY SPIN BACKGROUND - BEYOND THE MINIMAL SPIN-POLARON APPROXIMATION, Physical review. B, Condensed matter, 57(5), 1998, pp. 3099-3107
The motion of a single hole in an arbitrary magnetic background is inv
estigated for the two-dimensional t-J model. The wave function of the
hole is described within a generalized string picture which leads to a
modified concept of spin polarons. We calculate the one-hole spectral
function using a large-string basis for the limits of a Neel ordered
and a completely disordered background. In addition we use a simple ap
proximation to interpolate between these cases. For the antiferromagne
tic background we reproduce the well-known quasiparticle band. In the
disordered case the shape of the spectral function is found to be stro
ngly momentum dependent, the quasiparticle weight vanishes for all hol
e momenta. Finally, we discuss the relevance of results for the lowest
energy eigenvalue and its dispersion obtained from calculations using
a polaron of minimal size as found in the literature.