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  1. 1 Farkašovský P.

  2. 1 Čenčariková H.

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Ferromagnetism in the two-dimensional Hubbard model with long-range hopping

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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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