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  1. 2 Open Physics

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  1. 1 2013

  2. 1 2009

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  1. 2 Farkašovský P.

  2. 1 Čenčariková H.

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Mixtures of fermionic atoms with mass imbalance in optical lattices

100%
Farkašovský P.
Open Physics
|
2009
|
vol. 7
|
issue 1
32-40
EN
We study ground-state properties of ultracold fermionic mixtures with strong mass imbalance in one and two-dimensional optical lattices through large scale numerical simulations of the attractive Falicov-Kimball model in harmonic confining potentials. In the one-dimensional case, we observe a formation of insulating atomic-density-wave domains at low particle fillings and a coexistence of insulating and metallic domains at intermediate and large particle fillings. Moreover, we show how the formation of metallic regions is reflected in the momentum distribution of the light atoms. In two dimensions, we find a rich spectrum of density-wave patterns including the homogeneous distributions, the axial striped distributions, the labyrinthine phases as well as the segregated phases.
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Ferromagnetism in the two-dimensional Hubbard model with long-range hopping

63%
Farkašovský P., Čenčariková H.
Open Physics
|
2013
|
vol. 11
|
issue 1
119-123
EN
The combination of small-cluster exact-diagonalization calculations and the quantum Monte Carlo method is used to examine ferromagnetism in the two-dimensional Hubbard model with a generalized type of hopping. It is found that the long-range hopping with exponentially decaying hopping amplitudes t ij ∼ − q Ri−Rj stabilizes the ferromagnetic state for a wide range of electron interactions U and electron concentrations n > 1. The critical value of the hopping parameter q c above which the ferromagnetic state becomes stable is calculated numerically and the ground-state phase diagram of the model is discussed for physically the most interesting cases.
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