Ground-state phase diagram of the Falicov-Kimball model

Lach, J.; Łyźwa, R.; Jędrzejewski, Janusz

doi:10.1103/physrevb.48.10783

Cited by 13 publications

(13 citation statements)

References 13 publications

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“…One might speculate on a possible devil's staircase for small U : tongues, such as that for DSDW, would exist for all rational fillings. Similar behaviour is seen in the Falicov-Kimball model (where one spin state is immobile) [6]. For larger U (in the Hubbard model) the tongues would disappear, thinning out the staircase.…”

Section: Discussionsupporting

confidence: 68%

Phase Separation in Hubbard Model

Samson

1997

Acta Phys. Pol. A

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Tle Hartree-Fock ground-state phase diagram of the one-dimensional Hubbard model is calculated in the μ-U plane, restricted to phases with no charge density modulation. This allows antiferromagnetism, saturated ferromagnetism, spiral spin density waves and a collinear structure with unit cell H e i s e n b e r g s . T h e s p i r a l p h a s e i s u n s t a b l e a g a i n s t p h a s e s e p a r a t i o n n e a r quarter-, half-and three-quarter-flling. For large U this occurs at hole (or electron) doping of (3t/π2U)1/3 from half-filling.

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Section: Discussionsupporting

confidence: 68%

Phase Separation in Hubbard Model

Samson

1997

Acta Phys. Pol. A

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“…To assure stability of the phases appearing on the diagrams, we constructed the grand canonical phase diagrams first (see Ref. 20,21 for more detailed discussion of the stability issue) in the plane of the chemical potentials. Then we transformed the diagrams into the canonical phase diagrams in the plane of densities of localized (ρ f ) and itinerant (ρ d ) electrons.…”

Section: The Restricted Phase Diagrams Methods (Rpdm)mentioning

confidence: 99%

Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling

Lemański

Wrzodak

2008

Phys. Rev. B

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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 regime only axial stripes (vertical or horizontal) have been found for intermediate values of the coupling constants. They are composed of ferromagnetic or antiferromagnetic chains interchanged with non-magnetic ones. For band fillings close to the half filling stripe phases oriented along one of the main diagonal direction are formed. The results suggest a possibility of tuning modulations of charge and magnetic superstructures with a change of doping.

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“…We concentrate mainly on the ion subsystem, that is, we try to determine how the ions are arranged in the ground state. This sort of approach has already been used, first in [11], then in [1], [2], [3], [4],…”

Section: The Model and The Methodsmentioning

confidence: 99%

Canonical phase diagrams of the 1D Falicov-Kimball model at T = 0

Gajek¹,

Jędrzejewski²,

Lemański³

1996

Physica A: Statistical Mechanics and its Applications

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The Falicov-Kimball model of spinless quantum electrons hopping on a 1-dimensional lattice and of immobile classical ions occupying some lattice sites, with only intrasite coupling between those particles, have been studied at zero temperature by means of well-controlled numerical procedures. For selected values of the unique coupling parameter U the restricted phase diagrams (based on all the periodic configurations of localized particles (ions) with period not greater than 16 lattice constants, typically) have been constructed in the grand-canonical ensemble. Then these diagrams have been translated into the canonical ensemble. Compared to the diagrams obtained in other studies our ones contain more details, in particular they give better insight into the way the mixtures of periodic phases are formed. Our study has revealed several families of new characteristic phases like the generalized most homogeneous and the generalized crenel phases, a first example of a structural phase transition and a tendency to build up an additional symmetry -the holeparticle symmetry with respect to the ions (electrons) only, as U decreases.

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Ground-state phase diagram of the Falicov-Kimball model

Cited by 13 publications

References 13 publications

Phase Separation in Hubbard Model

Phase Separation in Hubbard Model

Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling

Canonical phase diagrams of the 1D Falicov-Kimball model at T = 0

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