2008
DOI: 10.1103/physrevb.78.085118
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Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling

Abstract: Charge and spin orderings are studied on the simplest 1D and the 2D square lattice within the generalized Falicov-Kimball model with Hund coupling between localized and itinerant electrons. Using the restricted phase diagrams method (RPDM) a number of simple rules of formation of various sorts of ground state phases have been detected. In particular, relationships between density of current carriers (electrons or holes) and type of charge and magnetic arrangement has been determined. In 2D in the mixed valence… Show more

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Cited by 18 publications
(10 citation statements)
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“…Unlike previous studies [9,[18][19][20], that have been done Thus we can conclude that the separated and axial striped phases enhance the average vertex correlations in the spin-one-half FKM with U f d , J z and U dd couplings, while the regular phases have only a small impact on the d x 2 −y 2 superconducting correlations in this model. Unfortunately, for half and quarter f and d electron fillings analysed above we have found no pure axial striped phases, as observed in the experiments for some cuprate, nikelate and cobaltate systems and therefore we turn our attention to the case n f + n d = 1 and n f + n d = 2, where such phases have been widely observed for both J z = 0 as well as J z > 0, even in the limit U dd = 0.…”
Section: Modelcontrasting
confidence: 48%
“…Unlike previous studies [9,[18][19][20], that have been done Thus we can conclude that the separated and axial striped phases enhance the average vertex correlations in the spin-one-half FKM with U f d , J z and U dd couplings, while the regular phases have only a small impact on the d x 2 −y 2 superconducting correlations in this model. Unfortunately, for half and quarter f and d electron fillings analysed above we have found no pure axial striped phases, as observed in the experiments for some cuprate, nikelate and cobaltate systems and therefore we turn our attention to the case n f + n d = 1 and n f + n d = 2, where such phases have been widely observed for both J z = 0 as well as J z > 0, even in the limit U dd = 0.…”
Section: Modelcontrasting
confidence: 48%
“…Indeed, using the restricted phase diagram method 7,8 and small cluster diagonalization calculations 9 many different charge and magnetic superstructures were found. Fortunately, a few simple rules of formation of the phases were detected.…”
Section: Introductionmentioning
confidence: 99%
“…This opens a vast variety of problems that can be addressed by the used method and various extensions of the FKM. Besides investigating other regimes of the spinless FKM, e.g., the vicinity of the PHS case where various nonhomogeneouse axial orderings compete with full CDW phase [71], insight into the spin-resolved current can be gained from the investigation of the transport through the spinfull version of the FKM, where the homogeneous charge orderings are accompanied by different spin orderings [76,129,130]. Such studies are expected to be particularly interesting in the context of spintronics.…”
Section: Discussionmentioning
confidence: 99%