Inhibition of phase separation and appearance of new phases for interacting spinless fermions

We study a simple effective model for description of charge orderings in narrow band materials, i.e. the spinless fermion model with repulsive intersite interaction W . The analysis is concentrated on the problem of phase separations and the effects of next-nearest neighbor hopping t2 on the charge ordered states in this system. The cases of d-dimensional (d ≥ 2) hypercubic lattices are considered for arbitrary particle concentration (0 < n < 1). Within the broken symmetry Hartree-Fock approximation the phase diagrams as a function of W and n are evaluated for representative cases. The results for t 2 = 0 are compared with those found for the case with nearest neighbor hopping only.

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“…Apart from a few papers [5][6][7][8] the research so far concentrates on the case of half-filled band with nearest-neighbor hopping.…”

Section: Introductionmentioning

confidence: 99%

“…In the analysis we have used the (broken symmetry) HartreeFock approximation (HFA), which for the models with intersite interactions only, can yield rigorous results for d = ∞, since in such a case only the Hartree diagrams survive in the perturbation theory [7,10].…”

Section: Introductionmentioning

confidence: 99%

Charge Ordering and Phase Separations in the Spinless Fermion Model with Repulsive Intersite Interaction

2008

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“…In the case of d = ∞ hypercubic lattice we have to rescale the hopping parameters [11,16] to ensure finite variance of free electron kinetic energy and the denotations are:…”

Section: Resultsmentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14] and references therein) in the field of electron charge orderings (CO) and charge density waves phenomena, due to experimental discovery of such phases in manganites, cuprates, numerous organic conductors and many other important materials. Two main mechanisms are invoked in explaining CO phenomena: electron correlations and lattice distortion.…”

Section: Introductionmentioning

confidence: 99%

Charge Ordering and Phase Separations in the Molecular Crystal Model

2010

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We analyse the ground state phase diagrams and thermodynamic properties of charge orderings in narrow band materials using the molecular crystal model in the static limit. We present results for the hypercubic lattices in dimensions d = 2 and d = ∞. We focus our study on the problem of phase separations involving charge orderings and the effects of next-nearest-neighbor hopping (t 2 ) on the charge ordered states in these systems. The ground state phase diagrams are evaluated for a few representative cases. Results for the molecular crystal model are compared with those obtained previously for the spinless fermion model with repulsive intersite interaction W .

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“…Two examples in d = ∞, displaying a first order instability towards phase separation, are the model for interacting spinless fermions [10] and the Hubbard model [11].…”

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confidence: 99%

Comment on “Robustness of a Local Fermi Liquid against Ferromagnetism and Phase Separation”

1999

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Inhibition of phase separation and appearance of new phases for interacting spinless fermions

Cited by 41 publications

References 28 publications

Charge Ordering and Phase Separations in the Spinless Fermion Model with Repulsive Intersite Interaction

Charge Ordering and Phase Separations in the Spinless Fermion Model with Repulsive Intersite Interaction

Charge Ordering and Phase Separations in the Molecular Crystal Model

Comment on “Robustness of a Local Fermi Liquid against Ferromagnetism and Phase Separation”

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