Analytical Results for a Hole in an Antiferromagnet

Details Analytical Results for a Hole in an Antiferromagnet Analytical Results for a Hole in an Antiferromagnet

1996-01-17

arxiv.org/abs/cond-mat/9601062v1

Physics

Condensed Matter

12 papes, 2 figures available upon request, revtex

Scientific paper

10.1103/PhysRevB.53.R14717

The Green's function for a hole moving in an antiferromagnet is derived analytically in the long-wavelength limit. We find that the infrared divergence is eliminated in two and higher dimensions so that the quasiparticle weight is finite. Our results also suggest that the hole motion is polaronic in nature with a bandwidth proportional to $t/J \exp [-c (t/J)^2] $ ($c$ is a constant). The connection of the long-wavelength approximation to the first-order approximation in the cumulant expansion is also clarified.

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