Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-03-10
Physics
Condensed Matter
Strongly Correlated Electrons
28 pages, ReVTeX, no figures
Scientific paper
We present functional Schr\"odinger representations of Holstein-Primakoff boson and slave-boson theories for the Heisenberg Hamiltonian and the $t-J$ Hamiltonian respectively. Based on these representations we obtain the dispersion relations of magnons for two dimensional antiferromagnets. By applying the functional Schr\"odinger representation of the Holstein-Primakoff boson theory to the Heisenberg Hamiltonian, the exchange energy is correctly predicted and the self-energy of quasi-hole is obtained. From the use of the functional Schr\"odinger representation of the $t-J$ Hamiltonian it is shown that at half-filling the dispersion relation obtained from the slave-boson theory leads to that obtained from the Holstein-Primakoff boson approach.
Ahn Sul-Ah
Park Kwangyl
Salk Sung-Ho Suck
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