Exact solution of the multicomponent Falicov-Kimball model in infinite dimensions

Zlatič, V.; Freericks, J. K.; Lemański, R.; Czycholl, Gerd

doi:10.1080/13642810110066470

Cited by 49 publications

(63 citation statements)

References 20 publications

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“…Employing the same numerical technique, Farkasovský investigated the effects of local and non-local 19,20 hybridization on valence transitions. Zlatić et al 21 confirmed that the static excitonic susceptibility diverges at T = 0 in the ordinary FKM (V = 0), from an exact solution of the model in infinite dimension. In dimensions D > 1, a finite f -electron bandwidth breaks the local U (1) symmetry and induce a non-zero polarization even in the absence of d − f hybridization as expected from symmetry grounds.…”

Section: Introductionsupporting

confidence: 48%

Exciton condensation in an extended Falicov-Kimball model in the presence of orbital magnetic fields

Pradhan¹,

Taraphder²

2016

EPL

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An extended, spinless Falicov-Kimball model in the presence of perpendicular magnetic field is investigated employing Hartree-Fock self-consistent mean-field theory in two dimensions. In the presence of an orbital field the hybridization-dependence of the excitonic average ∆ =< di † fi > is modified. The exciton responses in subtle different ways for different chosen values of the magnetic flux consistent with Hofstadter's well-known spectrum. The excitonic average is suppressed by the application of magnetic field. We further examine the effect of Coulomb interaction and f -electron hopping on the condensation of exciton for some rational values of the applied magnetic field. The interband Coulomb interaction enhances the ∆ exponentially, while a non-zero f -electron hopping reduces it. A strong commensurability effect of the magnetic flux on the behaviour of the excitons is observed.

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Section: Introductionsupporting

confidence: 48%

Exciton condensation in an extended Falicov-Kimball model in the presence of orbital magnetic fields

Pradhan¹,

Taraphder²

2016

EPL

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“…5 It has attracted much attention due to the proposal by Portengen et al that the spontaneous excitonic average in the EFKM could be interpreted as evidence of electronic ferroelectricity. 13 Although a variety of more sophisticated treatments 14,15 or more general mean-field theories 16,17 have failed to find the EI phase, the presence of a finite f -electron hopping can stabilize the EI state in the strongcoupling regime. 18,19 Furthermore, it seems likely that in the EFKM with V = 0 the interorbital Coulomb interaction will induce a large "excitonic" renormalization of the bare onsite hybridization potential.…”

Section: Introductionmentioning

confidence: 99%

Slave-boson theory of the extended Falicov-Kimball model

Brydon

2008

Phys. Rev. B

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The extended Falicov-Kimball model, with both an on-site hybridization potential and dispersive narrow band, is examined within the saddle-point approximation to the Kotliar-Ruckenstein slave boson theory. We first set the hybridization potential to zero and find that the phase diagram depends strongly upon the orbital structure: for degenerate orbitals, a correlated-insulating state is found at sufficiently strong interaction strengths, whereas a finite orbital energy difference can lead to discontinuous valence transitions. The obtained phase diagram is very sensitive to the presence of a finite hybridization potential. As in Hartree-Fock theory, we find an enhancement of the hybridization by the inter-orbital Coulomb repulsion. The more precise treatment of correlation effects, however, leads to large deviations from the Hartree-Fock results. In the limit of vanishing hybridization an excitonic insulator state is only found when the orbitals are degenerate, which restricts this phase to a much smaller parameter space than in other available mean-field theories.

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“…While the static properties of the FKM are well understood at present [5,6] (including the picture of valence transitions), the dynamical properties of the model are still unclear. Even, the spectral properties of the f electrons are not understood satisfactorily nor for V = 0, where only a few exact results are known for the infinite-dimensional systems [7,8]. No exact results are known for nonzero hybridization and T = 0, with the exception of numerical results obtained on very small clusters [9].…”

Section: Introductionmentioning

confidence: 99%

The Spectral Properties of the Falicov–kimball Model in the Weak-Coupling Limit

Farkašovský

2003

Int. J. Mod. Phys. B

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The f and d electron density of states of the one-dimensional FalicovKimball model are studied in the weak-coupling limit by exact diagonalization calculations. The resultant behaviors are used to examine the d-electron gap (∆ d ), the f -electron gap (∆ f ), and the f d-electron gap (∆ f d ) as functions of the f -level energy E f and hybridization V . It is shown that the spinless Falicov-Kimball model behaves fully differently for zero and finite hybridization between f and d states. At zero hybridization the energy gaps do not coincide (∆ d = ∆ f = ∆ f d ), and the activation gap ∆ f d vanishes discontinuously at some critical value of the f -level energy E f c . On the other hand, at finite hybridization all energy gaps coincide and vanish continuously at the insulator-metal transition point E f = E f c . The importance of these results for a description of real materials is discussed.

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Exact solution of the multicomponent Falicov-Kimball model in infinite dimensions

Cited by 49 publications

References 20 publications

Exciton condensation in an extended Falicov-Kimball model in the presence of orbital magnetic fields

Exciton condensation in an extended Falicov-Kimball model in the presence of orbital magnetic fields

Slave-boson theory of the extended Falicov-Kimball model

The Spectral Properties of the Falicov–kimball Model in the Weak-Coupling Limit

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