On the classification of the low energy excitations in the doped antiferromagnet

Details On the classification of the low energy excitations in the doped antiferromagnet On the classification of the low energy excitations in the doped antiferromagnet

1994-07-06

arxiv.org/abs/cond-mat/9407030v2

Physics

Condensed Matter

RevTeX 3.0 11 pages without figures, to appear in the proceedings of the Wuerzburg conference 26-30 September 1994

Scientific paper

10.1007/BF00752312

A long-wavelength, low energy hamiltonian is derived to describe the dynamic of a single hole in a quantum antiferromagnet in two or higher spatial dimensions. In this {\em exactly solvable} limit a {\em new} kind of symmetry is important to classify the elementary spin excitations of a single hole in the $t-J$ model. This symmetry is hidden at finite size or at short wavelength. The resulting classification has important consequences for understanding the physics of doped antiferromagnets. Fermi liquid like $s=1/2$ and charge one excitations are still well defined in a quantum antiferromagnet, but are not a {\em complete} set to describe the low energy physics.

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