The functional Schroedinger representation developed earlier for elementary particle physics has been rarely employed for the study of condensed matter and statstical physics. In the present study, we study the two-dimensional antiferromagnetic systems of strongly correlated electrons by paying attention to the Schroedinger representations of different statistical approaches, namely, the Holstein-Primakoff theory and the slave-boson theory of the t-J Hamiltonian. From this study, interrelationships between these theories are presented. At half-filling, the dispersion relation obtained from the more generalized slave-boson theory is shown to reduce to that obtained from the Holstein-Primakoff boson theory. By using the functional Schroedinger representation of the generalized Holstein-Primakoff theory, we further show that the ground state energy is lowered by the self-energy of a quasi-hole owing to the presence of coupling between the holon and the magnon.
dc.language
eng
dc.relation.ispartofseries
Journal of the Korean Physical Society
dc.citation.endPage
518
dc.citation.number
2
dc.citation.startPage
505
dc.citation.volume
53
dc.subject.keyword
Functional Schroedinger representation
dc.subject.keyword
Two-dimensional antiferromagnetic systems of strongly correlated electrons