Pressure-induced insulator-metal transitions in the spinless Falicov-Kimball model

Farkašovský, Pavol

doi:10.1103/physrevb.52.r5463

Cited by 46 publications

(59 citation statements)

References 13 publications

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“…Since the ground state configurations of the FKM in the weak coupling limit are well-known [6,13] (the most homogeneous (insulating) configurations for |E f | < E f c ∼ 1.34, and the phase separated (metallic) configurations for |E f | ≥ E f c ), the d-electron density of states can be calculated directly from the single particle spectrum of the FKM model for V = 0. For the periodic configurations this can be done analytically in the thermodynamic limit [14], and for an arbitrary f -electron concentration a numerical diagonalization is possible on very large clusters (L = 64000).…”

Section: Resultsmentioning

confidence: 99%

“…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].…”

Section: Introductionmentioning

confidence: 99%

“…Here, the special attention is devoted to the behavior of the f and d-electron density of states with increasing E f . Such an analysis is very important since a parametrization of E f with applied pressure p [12] can, in principle, provide an interpretation of some experimental data, e.g., the behavior of the activation gap (the gap between the occupied and unoccupied states) with increasing p. In our previous paper [6] the problem of pressure dependence of the activation gap was analysed through the behavior of the energy gap in the d-electron spectrum of the FKM and many similarities with the experimental data on the valence fluctuating compound SmB 6 were found. These similarities are however only qualitative, since in the correct analysis one should take into account also the behavior of the f -electron spectral functions.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Farkašovský

2003

Int. J. Mod. Phys. B

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“…To do the quantitative comparison with experimental data obtained for mixed-valence compound Sm 1−x B 6 [4] we have selected U = 2 and E f = 0.444 that models (as our previous results showed [2]) very well the real situation in SmB 6 compound (n f ≈ 0.47). The resultant theoretical and experimental behaviours are shown in Fig.…”

Section: L−nvmentioning

confidence: 99%

“…The Falicov-Kimball model (FKM) [1] was introduced in 1969 to describe metal-insulator transitions in rare-earth and transition-metal compounds and later it has been used successfully to study a great variety of many-body effects, of which valence transitions, charge-density waves and electronic ferroelectricity are the most common examples [2,3]. The Hamiltonian of the model can be written as a sum of three terms…”

Section: Introductionmentioning

confidence: 99%

The Influence of Lattice Defects on the Ground-State Properties of the Falicov-Kimball Model in Two Dimensions

2008

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The influence of lattice defects (vacancies) on the ground-state properties of the spinless Falicov-Kimball model is studied by a well-controlled numerical method in two dimensions. It is shown that in the presence of vacancies (distributed randomly) the ground states of the Falicov-Kimball model are phase separated for small f -electron concentrations n f and exhibit the long-range order for n f near the half-filled band case n f = 1/2. In addition, the dependence of average f -orbital occupancy on the concentration of vacancies is calculated for a wide range of model parameters. The resultant behaviours are used to interpret the experimental data obtained for the mixed-valence system Sm1−xB6.

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Ground-state properties of the Falicov-Kimball model in one and two dimensions

Farkašovský

2001

Eur. Phys. J. B

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A new numerical method is used to study the ground-state properties of the spinless FalicovKimball model in one and two dimensions. The resultant solutions are used to examine the phase diagram of the model as well as possibilities for valence and metal-insulator transitions. In one dimension a comprehensive phase diagram of the model is presented. On the base of this phase diagram, the complete picture of valence and metal-insulator transitions is discussed. In two dimensions the structure of groundstate configurations is described for intermediate interactions between f and d electrons. In this region the phase separation and metal-insulator transitions are found at low f -electron concentrations. It is shown that valence transitions exhibit a staircase structure. PACS. 75.10.Lp Band and itinerant models -71.27.+a Strongly correlated electron systems; heavy fermions -71.28.+d Narrow-band systems; intermediate-valence solids -71.30.+h Metal-insulator transitions and other electronic transitions

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Pressure-induced insulator-metal transitions in the spinless Falicov-Kimball model

Cited by 46 publications

References 13 publications

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

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

The Influence of Lattice Defects on the Ground-State Properties of the Falicov-Kimball Model in Two Dimensions

Ground-state properties of the Falicov-Kimball model in one and two dimensions

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