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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

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Volume 11, Issue 1

Issues

Volume 13 (2015)

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

Pavol Farkašovský / Hana Čenčariková
Published Online: 2013-01-15 | DOI: https://doi.org/10.2478/s11534-012-0135-7

Abstract

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.

Keywords: strongly correlated electrons; Hubbard model; band ferromagnetism

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About the article

Published Online: 2013-01-15

Published in Print: 2013-01-01


Citation Information: Open Physics, Volume 11, Issue 1, Pages 119–123, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-012-0135-7.

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