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Correlation effect of local electrons in a one-dimensional Falicov-Kimball modelby: Qing W. Wang, Yu L. Liu
Physical Review B (Condensed Matter and Materials Physics), Vol. 74, No. 12. (2006), 125119.
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AbstractWith the eigenfunctional theory, we give a general exact expression of the local electron Green function in the Falicov-Kimball model, and apply it to study the correlation effects of the local electrons in one dimension. For the two local electrons case, the correlation exponent of the local electron Green function has weak even-odd oscillation with the distance between these two local electrons, and it approaches zero in the strong coupling limit. While, at half filling of the local electrons, the ground-state phase is complicated. When the conduction electron is near 0.5, the ground state configuration is the chessboard phase for a considerable range of U/t*, and the correlation exponent increases from zero to a finite value as U/t* increases. When the conduction electron is far away from 0.5, the ground state configuration is the segregated phase, and the correlation exponent first increases and then jumps to zero when U/t* is larger than a finite value which is a function of nc. Our results are compared with previous numerical simulations.
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