A Theoretical Study of Phase Separation in Strongly Correlated Electron Systems with Wide and Narrow Bands

Sunil Kumar, D. Prasad, L. K. Mishra
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Abstract

Using the theoretical formalism of A. O Sboychakov6 and R. Schaffer et al.7, we have theoretically studied the phase separation in strongly correlated electron systems with wide and narrow bands. We observed the following facts; (1) In this paper, the spinless Falicov-Kimball model on the simple cubic lattice is analyzed. The analysis is performed with the help of Hubbard-I and dynamical mean field (DMFT) approximations. We have obtained the Matsubara and real frequency itinerant Green’s function, the evolution of the system with doping and the range of phase separation is evaluated in thesr two approximations. (2) We observed that at large values of the on-site Coulomb repulsion in both approximations gives similar results. It was observed that both approximations coincide in the narrow band limit W—0. (3) It was also seen that the system remains unstable towards the phase separation even at finite band width. (4) The analysis also reveals the fact that the phase separation is the inherent feature of Hubbard like models with wide and narrow bands.
宽窄带强相关电子系统相分离的理论研究
利用A. O . Sboychakov6和R. Schaffer等人7的理论形式,我们从理论上研究了宽带和窄带强相关电子系统的相分离。我们观察到以下事实:(1)分析了简单立方晶格上的无自旋Falicov-Kimball模型。分析是借助hubard - i和动态平均场(DMFT)逼近进行的。我们得到了Matsubara和实频率的流动格林函数,并在这两种近似下对掺杂和相分离范围下系统的演化进行了评估。(2)我们观察到,在较大的现场库仑排斥值下,两种近似的结果相似。两种近似在窄带极限W-0处重合。(3)在有限带宽下,系统在相分离方向上仍然不稳定。(4)分析还揭示了相分离是宽带和窄带类Hubbard模型的固有特征。
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