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NATO science series. Series II, Mathematics, physics and chemistry

Holstein-Primakoff Representation for Strongly Correlated Electron Systems

S. Azakov

Published Jan 1, 2004• 1 citation
Publisher
DOI
10.1007/1-4020-2708-7_7

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Applying the functional Schrodinger picture to the Holstein-Primakoff boson theory, we obtain a dispersion energy relation for an antiferromagnetic spin polaron or magnon in two-dimensional systems of strongly correlated electrons. We show that our magnon ground-state wave function is equivalent to that of a retraceable path approximation by Reiter in the long-wavelength limit. Further, we demonstrate that the derived dispersion relation of a quasiparticle leads to the self-consistent Born approximation of the Green's function approach only in the large Heisenberg coupling J limit, showing that this new approach is general enough to contain more physical information than the Green's function approach in dealing with the antiferroinagnetic spin polaron of interest.